Question Solved1 Answer Scores on a Statistics final are normally distributed, with a mean of 78 and a standard deviation of 12. A student takes his final; find the probability that the student gets a score is less than 71. Then, find the probability that the student score at least a 95. The probability that the student scores less than 71 is A The probability that the student scores are 95 or more is BT

On a certain statistics test, the professor said that 90% of the students scored better than average. Discuss whether or not this is possible. Back MATH-13-INTRO TO STATISTICS-B14/B16/B17-COMBO DISCUSSION - 90% of scores are better than average 5 pts On a certain statistics test, the professor said that 90% of the students scored better than average. Discuss whether or not this is possible. Reply Replies are only visible to those who have posted at least one reply. Dashboard Calendar To Do Notifications Inbox

Multiple choice, pick one ans: Consider the grammar G S ::= aS | T T ::= bT | U U ::= cU | ϵ (1) Which of the following strings is generated by the grammar G? (a) aba (b) bab (c) ca (d) ccc (2) Which of the following is a derivation of bbc in the grammar G? (a) S → T → U → bU → bbU → bbU → bbc (b) S → bT → bbT → bbU → bbcU → bbc (c) S → T → bT → bbT → bbU → bbcU → bbc (d) S → T → bT → bTbT → bbT → bbU → bbcU → bbc (3) Which of the following grammars describes the same language as 0^m1^n where m ≤ n? (a) S ::= 0S1 | ϵ (b) S ::= 0S1 | S1 | ϵ (c) S ::= 0S1 | 0S | ϵ (d) S ::= SS | 0 | 1 | ϵ

Question 2 (1 point) Salary information regarding male and female employees of a large company is shown below. Male Female Sample Size 64 36 Sample Mean Salary (in $1000) 45 41 Population Variance (2) 128 72 At 95% confidence, the margin of error is 1.960. 01.645 3.920. 7.839.

The following table reports real GDP per person for several different economies in the years 1960 and 2010. It also gives each economy's average annual growth rate during this period. For example, real GDP per person in the Central African Republic was $1,010 in 1960, and it actually declined to $628 by 2010. The Central African Republic's average annual growth rate during this period was -0.95%, and it was the poorest economy in the table in the year 2010. The real GDP-per-person figures are denominated in U.S. dollars with a base year of 2005. The following exercises will help you to understand the different growth experiences of these economies. 1. Economic growth around the worldThe following table reports real GDP per person for several different economies in the years 1960 and 2010. It also gives each economy's averageannual growth rate during this period. For example, real GDP per person in the Central African Republic was $1,010 in 1960, and it actuallydeclined to $628 by 2010. The Central African Republic's average annual growth rate during this period was -0.95%, and it was the poorest economyin the table in the year 2010.The real GDP-per-person figures are denominated in U.S. dollars with a base year of 2005. The following exercises will help you to understand thedifferent growth experiences of these economies.Real GDP per Person in 1960Real GDP per Person in 2010 Annual Growth RateEconomy(Dollars)(Dollars)(Percent)Australia13,81737,3382.01Finland8,83731,6012.58Thailand7728,4674.91Ireland7,80741,5583.40Pakistan7172,4772.51Central African Republic1,010628-0.95Indicate which economy satisfies each of the following statements.Central AfricanRepublicStatementAustraliaFinlandIrelandPakistanThailandThis economy experienced the fastest rate of growth in realGDP per person from 1960 to 2010.This economy had the highest level of real GDP per person inthe year 2010.Consider the following list of four countries. Which economy began with a level of real GDP per person in 1960 that was below that of Finland and grewfast enough to catch up with and surpass Finland's real GDP per person by 2010?AustraliaO Central African RepublicO IrelandPakistan

following data are the response times in seconds for \( n=25 \) grade 1 students to arrange three objects by size. \( \begin{array}{lllll}5.4 & 3.6 & 5.7 & 3.7 & 3.8\end{array} \) \begin{tabular}{llllll|} \( 4.1 \) & \( 4.0 \) & \( 4.3 \) & \( 4.6 \) & \( 4.1 \) \\ \( 3.1 \) & \( 2.6 \) & \( 3.1 \) & \( 4.4 \) & \( 4.7 \) \\ \hline \( 3.6 \) & \( 3.7 \) & \( following data are the response times in seconds for \( n=25 \) grade 1 students to arrange three objects by size. \( \begin{array}{lllll}5.4 & 3.6 & 5.7 & 3.7 & 3.8\end{array} \) \begin{tabular}{llllll|} \( 4.1 \) & \( 4.0 \) & \( 4.3 \) & \( 4.6 \) & \( 4.1 \) \\ \( 3.1 \) & \( 2.6 \) & \( 3.1 \) & \( 4.4 \) & \( 4.7 \) \\ \hline \( 3.6 \) & \( 3.7 \) & \( 4.6 \) & \( 5.2 \) & \( 4.1 \) \\ \( 4.5 \) & \( 3.5 \) & \( 4.3 \) & \( 3.6 \) & \( 5.6 \) \end{tabular} (a) Find the mean and the standard deviation for these 25 response times. (Round your standard deviation to three decimal places.) mean standard deviation (b) Order the data from smallest to largest, (Enter your answers as a comma-separated ist.) \( 2.6,3.1,3.1,3.5,3.6,3.6,3.6,3.7,3.7,3.8,4.0,4.1,4.1,4.1,4.3,4,3,4.4,4.5,4.6,4.6,4.7,5.2,5.4,5.6,5 \). (c) Find the a-scores for the smatlest and largest respense times. (Round your answers to two decimat places:) smallest largest Is there any reason to belleve that these times are unusually large or smali? explain. since the z-score of the largest value is greater than 3 in absolute value, the largest value is unusually large. The smallest value is not unusuali Since the z-score of the smaliest value is greater than 3 in absolute value, the smallest value is unusually smali. The largeat value is net unuriual. Since neither of the zuscores are greater than 7 in absolute value, the measurements are not judoed to be unusually large or small. Bince both zescores are 9 reater than 3 in absolute value, the measurements are fudged to be unusual.

A production line operates with a mean filling weight of 16 ounces per container.Overfilling or underfilling presents a serious problem and when detected requires the operator to shut down the production line to readjust the filling mechanism. From past data, a population standard deviation σ = .8 ounces is assumed. A quality control inspector selects a sample of 30 items every hour and at that time makes the decision of whether to shut down the line for readjustment. The level of significance is α = .05.a. State the hypothesis test for this quality control application.b. If a sample mean of xˉ = 16.32 ounces were found, what is the p-value? What action would you recommend?c. If a sample mean of xˉ = 15.82 ounces were found, what is the p-value? What action would you recommend?d. Use the critical value approach. What is the rejection rule for the preceding hypothesis testing procedure? Repeat parts (b) and (c). Do you reach the same conclusion?