7. The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with mean of 0.04 flaws per square foot of plastic panel. Assume automobile interior contains 10 square feet of plastic panel.(a) What is the probability that there are no surface flaws in an auto's interior?(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws?(c) If 10 cars are sold to a rental company, what is the probability that at most two cars have any surface flaws?

4.1 Specify the independent variable (IV) and dependent variable (DV) for the proposed study. (4 marks) 4.2 Formulate the null and alternative hypotheses for the proposed study. (4 marks) 4.3 Based on the outcome of the analysis of the data gathered from the twenty employees in the preliminary investigation, discuss the strength, direction and significance of the correlation between employee quiet quitting score and employee performance rating. (6 marks) 4.4 Provide a comprehensive interpretation of the output of the simple linear regression analysis (quote the relevant statistical figures in the interpretation). (8 marks) 4.5 Proffer a practical recommendation to the management of Mayfair Enterprises on how best to mitigate the recent decline in employee and organisational outcomes. (3 marks)

For each of the following standardized test statistics, draw a diagram for a standard normal distribution, shade the area for the p-value, and find the p-value based on a standard normal distribution. a) z = 1.44 in a right-tailed test for a mean b) z = -2.1 in a two-tailed test for a mean c) z = 0.05 in a left-tailed test for a mean d) z = -2.19 in a right-tailed test for a difference in two means   how to do these questions with workings pls thanks

Of 290 female registered voters surveyed, 119 indicated they were planning to vote for the incumbent president. Of 420 male registered voters, 151 indicated they were planning to vote for the incumbent president. (a) Compute the test statistic. (Use female − male. Round your answer to three decimal places.) (b) At ? = 0.01, test to see if there is a significant difference between the population proportions of females and males who plan to vote for the incumbent president. (Use the p-value approach.) Calculate the p-value. (Round your answer to three decimal places.) p-value =  What is your conclusion? Reject H0. We can conclude that there is a significant difference between the two population proportions. Reject H0. We cannot conclude that there is a significant difference between the two population proportions.     Do not reject H0. We cannot conclude that there is a significant difference between the two population proportions. Do not reject H0. We can conclude that there is a significant difference between the two population proportions.

Provide an appropriate response. 19) Give an expression for the confidence level in terms of $\alpha$. A) $100 \alpha \%$ B) $1-\frac{\alpha}{100} \%$ C) $100(1-\alpha) \%$ D) $1-\alpha \%$ 13

This problem is intended to show that one can analyze the long-term behavior of queueing problems by using just notions of means and variances, but that such analysis is awkward, justifying understanding the strong law of large numbers (SLLN). Consider an M/G/1 queue. The arrival process is Poisson with λ = 1. The expected service time, E [Y], is 1/2 and the variance of the service time is 1. (a) Consider Sn, the time of the nth arrival, for n = 1012. With high probability, Sn will lie within three standard derivations of its mean. Find and compare this mean and the 3σ range. (b) Let Vn be the total amount of time during which the server is busy with these n arrivals (i.e., the sum of 1012 service times). Find the mean and 3σ range of Vn. (c) Find the mean and 3σ range of In, the total amount of time the server is idle up until Sn (take In as Sn − Vn, thus ignoring any service time after Sn). (d) An idle period starts when the server completes a service and there are no waiting arrivals; it ends on the next arrival. Find the mean and variance of an idle period. Are successive idle periods IID? (e) Combine (c) and (d) to estimate the total number of idle periods up to time Sn. Use this to estimate the total number of busy periods. (f) Combine (e) and (b) to estimate the expected length of a busy period.

Proportionate Mortality, In a specified population during a specified time period, the proportion of ail deaths due to disease X, usualy expressed as percent. Consider the data below and answer the four questions, please. Number of Deaths by Selected Causes, Hypothetical County, 2018 Age $25-49$ v Age 50 and Older Recall, PPM\% is NOT a measure of risk, because the denominator is al deaths. The dead are not at risk 1. Please complete the table by calculating and inserting the missing six PPMW: round to the nearest $10^{\mathrm{h}}$. ( 6 points) 2. Which age group had the larger number of accidents? (2 points) 3. Which age group had the larger PPM\% for accidents? (2 points) 4. What is missing that would let us estimate the risk of death from accidents in these age groups? (2 points)

The following question is from Interpreting Basic Statistics by Holcomb 8th edition: - How many studies in the meta-analysis used official measures of repeat victimization as the outcome variable?

The following sample data are from a normal population: 10, 8, 12, 15, 13, 11, 6, 5.{Exercise 8.13}The following sample data are from a normal population: 10, 8, 12, 15, 13, 11, 6, 5.a. What is the point estimate of the population mean?b. What is the point estimate of the population standard deviation (to 2 decimals)?c. With 95% confidence, what is the

i. Use MS Excel Data Analysis ToolPak to perform a multiple regression analysis using Quality as the response variable and Helpfulness and Clarity as the explanatory variables. Write down the corresponding coefficient estimates and provide the regression output. j. Perform an F-test for the overall usefulness of the model in part i) using a 5% significance level. Make sure you follow all the steps for hypothesis testing indicated in the Instructions section and clearly state your conclusion. k. Test manually if the Clarity variable is significant in the model in part i). Make sure you follow all the steps for hypothesis testing indicated in the Instructions section and clearly state your conclusion. l. Using the adjusted R2 criterion, does including Clarity as an additional predictor variable improve the model in part i)? Explain why it is better to use the adjusted R2 over the R2 to determine if the addition of this new variable improves the model. Regression Statistics ANOVA Multiple R 0.998544859 df SS MS F Significance F R Square 0.997091836 Regression 2 255.2639136 127.6319568 62229.00058 0 Adjusted R Square 0.997075813 Residual 363 0.744514614 0.002051004 Standard Error 0.045288017 Total 365 256.0084282 Observations 366 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -0.020353502 0.010520921 -1.934574223 0.0538193 -0.04104311 0.000336106 -0.04104311 0.000336106 helpfulness 0.538358378 0.007216008 74.60611907 2.8925E-222 0.524167949 0.552548808 0.524167949 0.552548808 clarity 0.465505241 0.00707634 65.78333849 8.6445E-204 0.451589474 0.479421009 0.451589474 0.479421009

  QUESTION 1 On a particular day, Mobay Electronics produced 10000 electric bulbs at a mean production rate of 10 hours. Assume that the known population standard deviation is 2000 hours   a. Why do we need a confidence interval                                                                         We need to construct a confidence interval because people may take samples from a population and end up with different result. Therefore, we do not know the true value until we create a confident interval   b. Construct a 95% confidence interval for the mean production time of the light bulbs by Mobay electronics      QUESTION 2 Given the following numbers 2, 2, 3, 2, 4, 8, 0 Find a. The mean                                                                            b. the mode                                                                          c. the median                                                       d. the variance                                                    QUESTION 3 The average weight of 20 students in a certain school was found to be 165lbs with a standard deviation of 4.5. Construct a 95% confidence interval for the population mean. Please show all working  to show how you arrived at the answer QUESTION 4 At a large restaurant, 3 out of 5 customers ask for water with their meal. A random sample of 10 customers is selected. Find the probability that a. Exactly 6 ask for water with their meal                      b. Less than 9 ask for water with their meal              QUESTION 5 Patients arrive at a hospital Accident and Emergency department at random at a rate of 6 per hour. Find the probability that during any 90 minute period, the number of patients arriving at the hospital Accident and Emergency department is Exactly 7                                                                                            At least 1                                                                                                                                                                                                                                                                                                                                                                    

A thrill-seeker wanted to try to travel across a large field while being suspended in the air by holding onto balloons. In order to determine the number of balloons needed per pound of weight, he did a preliminary study. He selects a random sample of 20 rocks of various sizes. He weighed each one and also determined how many balloons are needed to lift the rock. Here is output from a leastsquares regression analysis of the data Construct and interpret a $90 \%$ confidence interval for the siope of the population regression line. Use the four-step processi SHOW ALL WORKI

I’m thinking of a number between 1 and 15 (inclusive). You get four attempts to guess my number. After every guess, I’ll tell you either “higher”, “lower”, or “correct.” If you correctly guess my number on one of your four guesses, you win. But there is a catch! If I ever respond “higher” three times in a row or “lower” three times in a row, the game ends

You, Ada, and Carlos are on a game show where the host will ask contestants to wager (or risk) money. Assume that you are all very smart, and that each of you will be willing to wager money if and only if there is a greater than 50% chance you will win that wager. The three of you each roll a 12-sided die (numbered 1 to 12) and keep your result

1) Using the following prositions c: I will return to college. j: I will get a job. Find the correct logical representation of the following sentence - I will return to college only if I won't get a job. j ∧ c c->j ¬j ∧ ¬c c → ¬j 2) A = {a, b, c, d} X = {1, 2, 3, 4} The function f:A→X is defined as f = {(a, 4), (b, 1), (c, 3), (d, 4)} Select the set corresponding to the range of f. {∅} {1,3,4} {1, 4} {1, 2, 3, 4} 3) The binary relation {(1,1), (2,1), (2,2), (2,3), (3,1), (3,2)} on the set {1, 2, 3} is neither reflextive, nor antireflexive or transitive symmetric reflextive, symmetric and transitive neither reflextive, nor irreflexive but symmetric

A soft drink bottler is interested in obtaining more uniform fill heights in the bottles produced by his manufacturing process. The filling machine theoretically fills each bottle to the correct target height, but in practice, there is variation around this target, and the bottler would like to understand the sources of this variability better and eventually reduce it. The process engineer can control three variables during the fill process: the percent carbonation (A), the operating pressure in the filler (B), and the bottles produced per minute or the line speed (C). The pressure and speed are easy to control, but the percent carbonation is more difficult to control during the actual manufacturing process because it varies with product temperature. For the purposes of this experiment, the engineer can control carbonation at two levels: 10 and 14 percent. She chooses two levels for pressure (25 and 30 psi) and two levels for line speed (200 and 250 bpm). She decides to run two replicates of a factorial design in these three factors, with all runs taken in random order.   1.What does it mean for the engineer to run two replicates of the factorial design? 2.How would the experiment be different if she planned to use repeats (instead of replicates)? 3.What is the difference between repetition and replication? How does this difference affect the type of variability we can explore in an experiment? 4.How might the engineer incorporate blocking into this experiment? What would be the advantages and disadvantages of doing so?  

. The waiting time (in weeks) for an appointment to see a psychologist can be modeled by a random variable X with pdf f(x) = ( x 3 2500 if 0 ⩽ x ⩽ 10, 0 otherwise. (a) Find the time (in days) within which 90% of patients can get an appointment. b) Find the cdf F of X. (c) Use matplotlib.pyplot from Python to plot the pdf and cdf of X. (d) Calculate the

Amy is a contestant on a singing reality tv show. Every week, the public votes for the contestant who they think should win, and the person with the least amount of votes has to leave. Amy is worried that her performance did not go well and that she might be voted off. Before the public voting officially begins, she tweets to her followers and sets up a poll where she asks them if they would vote for her or not. 6470 people respond, and out of them, 2146 say they would vote for her. Find the $90 \%$ confidence interval for the true proportion of the votes that Amy will get. Report the maximum proportion of voters that she can be $90 \%$ confident will vote for her.

A series of anchors are proposed to be installed at the base of the petrol tank to help reduce the probability of sliding. The resistance (R) of each anchor is 600 kN. Modify the original program (as given on Canvas), to include the resistance of the anchors in the calculation of the probability of sliding. How many anchors will have to be installed in order to reduce the probability of sliding to less than 0.01 ?. Note: Make sure you run all cells of the program every time.

A random sample of 30 words from Jane Austen's Pride and Prejudice had a mean length of 4.08 letters with a standard deviation of 2.40. A random sample of 30 words from Henry James's What Maisie Knew had a mean length of 3.85 letters with a standard deviation of 2.26. Which of the following is a correct expression for the $99 \%$ confidence interval for the difference in mean word length for these two novels? (a) $(4.08-3.85) \pm 2.756\left(\frac{2.40}{\sqrt{30}}+\frac{2.26}{\sqrt{30}}\right)$ (b) $(4.08-3.85) \pm 2.045\left(\frac{2.40}{\sqrt{30}}+\frac{2.26}{\sqrt{30}}\right)$ (c) $(4.08-3.85) \pm 2.045\left(\sqrt{\frac{2.40^{2}}{30}-\frac{2.26^{2}}{30}}\right)$ (d) $(4.08-3.85) \pm 2.045\left(\sqrt{\frac{2.40^{2}}{30}+\frac{2.26^{2}}{30}}\right)$ (e) $(4.08-3.85) \pm 2.756\left(\sqrt{\frac{2.40^{2}}{30}+\frac{2.26^{2}}{30}}\right)$

Market-share-analysis company Net Applications monitors and reports on Internet browser usage. According to Net Applications, in the summer of 2014, Google’s Chrome browser exceeded a 20% market share for the first time, with a 20.37% share of the browser market (Forbes website, December 15, 2014). For a randomly selected group of 20 Internet browser users, answer the following questions. a.Compute the probability that exactly 8 of the 20 Internet browser users use Chrome as their Internet browser. b.Compute the probability that at least 3 of the 20 Internet browsers users use Chrome as their Internet browser. c.For the sample of 20 Internet browser users, compute the expected number of Chrome users. d.For the sample of 20 Internet browser users, compute the variance and standard deviation for the number of Chrome users.

4. (12 points) A candy manufacturer selects mints at random from the production line and weighs them. For one week the day shift weighed $n_{1}=194$ mints and the night shift weighed $n_{2}=162$ mints. The numbers of these mints that weighed at most 21 grams was $y_{1}=28$ for the day shift and $y_{2}=11$ for the night shift. Let $p_{1}$ and $p_{2}$ denote the proportions of mints that weigh at most 21 grams for the day and night shifts, respectively. (a) (4 points) Give a point estimate of $p_{1}$. (b) (4 points) Give the endpoints for a $95 \%$ confindence interval for $p_{1}$. (c) (4 points) Give a point estimate of $p_{1}-p_{2}$. (d) (4 points) Find a one-sided $95 \%$ confidence interval that gives a lower bound for $p_{1}-p_{2}$.

In the last 120 years there have been 22 significant economic crises. Assuming that the crises follow a Poisson distribution, What is the probability of experiencing 2 economic crises in a period of 2 years? Introduce the answer to 3 decimal places.

The duration between trades on the stock market for shares in Apple follows an exponential distribution with a mean of 0.08 seconds. If a trade has just occurred what is the probability that the duration to the next trade is shorter than 0.28 seconds? Report your answer to 3 decimal places.

The probability statement is P(x ≥ $218,000). Since this distribution is only valid for values of x between $200,000 and $224,000, the rectangle representing this probability will be between 218,000 and 224,000 Correct what is the width of rectangle? 2)Find the area of this rectangle, which will give P(x ≥ $218,000). P(x ≥ $218,000) = width · height = (

A recent poll has suggested that $69 \%$ of Canadians will be spending money - decorations, halloween treats, etc. - to celebrate Halloween this year. 25 Canadians are randomly chosen, and the number that will be spending money to celebrate Halloween is to be counted. This count is represented by the random variable $X$. Part (a) Compute the probability that 14 of these Canadians indicate they will be spending money to celebrate Halloween. Part (b) Compute the probability that between 8 and 14 of these Canadians, inclusive, indicate they will be spending money to celebrate Halloween. \[ P(8 \leq X \leq 14)=\square \quad \text { (use four decimals in your answer) } \] Part (c) How many of the 25-Canadians randomly chosen would you expect to indicate they will be spending money to celebrate Halloween? Compute the standard deviation as well. \[ \begin{array}{l} E(X)=\mu_{X}=\begin{array}{l|l} \hline & \text { Iil } \\ \text { (use two decimals in your answer) } \\ S D(X)=\sigma_{X}=\square & \text { (use two decimals in your answer) } \end{array} \end{array} \] Part (d) Compute the probability that the 15-th Canadian random chosen is the 6-th to say they will be spending money to celebrate Halloween. iii (use four decimals in your answer)

1. A set of 10 randomly selected measurements is listed in descending order as follows: x , 7.1, 6.8, 5.6, 3.2, 2.5, 2.5, 0.3, −1.2, −1.4 It is known that the sample variance is 11.361. (a) Find x.  (b) Suppose x1, x2, ..., x8 is another set of 8 measurements with sample mean 2.4 and sample variance 7.52. Find the mean, variance and standard deviation of the combined set of measurements.   2. Police plan to enforce speed limits by using radar traps at four different locations within the national limits. The radar traps at each of the locations L1, L2, L3, and L4 will be operated 40%, 20%, 30%, and 40% of the time. A person who is speeding on her way to work has probabilities of 0.3, 0.1, 0.4, and 0.2 respectively, of passing through these locations. Let S be the event that radar traps was set and Li be the locations i, i = 1,2,3 or 4. (a) Draw a tree diagram with the notation and probabilities provided

A computer consulting firm presently has bids out on three projects. Let Ai = { awarded project i }, for i = 1, 2, 3, and suppose that P(A1) = 0.22, P(A2) = 0.25, P(A3) = 0.28, P(A1 ? A2) = 0.11, P(A1 ? A3) = 0.05, P(A2 ? A3) = 0.07, P(A1 ? A2 ? A3) = 0.01. Express in words each of the following events and compute the probability of each event. a) A1 ? A2 b) A'1 ? A'2 c) A1 ? A2 ? A3 d) A'1 ? A'2 ? A'3 e) A'1 ? A'2 ? A3 f) (A'1 ? A'2) ? A3 I NEED VERY DETAILED ANSWER THANK YOU :)

5. AAA Travel surveyed 125 potential customers about vacation destinations: • 18 said all three destinations • 34 said Hawaii and Las Vegas • 26 said Las Vegas and Disney World • 23 said Hawaii and Disney World • 68 said Hawaii • 53 said Las Vegas • 47 said Disney World. Construct a Venn diagram for this information. Determine how many wished to travel a.

(a) A store sells 8 colors of balloons with at least 29 of each color. How many different combinations of 29 balloons can be chosen? (b) If the store has only 12 red balloons but at least 29 of each other color of balloon, how many combinations of balloons can be chosen? (c)If the store has only 8 blue balloons but at least 29 of each other color of balloon, how many combinations of balloons can be chosen? (d)If the store has only 12 red balloons and only 8 blue balloons but at least 29 of each other color of balloon, how many combinations of balloons can be chosen?