Question Question 1 10 pts A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10 workers on the graveyard shift. A quality control consultant is to select 6 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 6 workers has the same chance of being selected as does any other group (drawing 6 slips without replacement from among 45). keep 4 digits after decimal: What is the probability that at least two different shifts will be represented among the selected workers?

The worldwide market share for the Chrome web browser was 56.43% in a recent month. Suppose that you decide to select a sample of 100 students at your university and you find that 60 use the Chrome web browser. a. Use the five-step p-value approach to determine whether there is evidence that the market share for the Chrome web browser at your university is greater than the worldwide market share of 56.43%. (Use the 0.05 level of significance.) b. Suppose that the sample size is n = 600, and you find that 60% of the sample of students at your university (360 out of 600) use the Chrome web browser. Use the five-step p-value approach to try to determine whether there is evidence that the market share for the Chrome web browser at your university is greater than the worldwide market share of 56.43%. (Use the 0.05 level of significance.) c. Discuss the effect that sample size has on hypothesis testing. d. What do you think are your chances of rejecting any null hypothesis concerning a population proportion if a sample size of n = 20 is used?

What evidence supports the conclusion that the SLC24A5 gene contributes to the production of melanin in humans in the same way it does in fish? Select all that apply. Hint: Review the section of the paper entitled “Conservation of golden gene structure and function in vertebrate evolution.” A)Injection of golden zebrafish larva with human SLC24A5 messenger RNA (mRNA) restores the fish’s ability to make melanin. B.)The slc24a5 protein produced by the gene in the zebrafish is 68 – 69% similar to the SLC24A5 protein in humans. C)At least 93% of East Asians share the same G allele of the SLC24A5 gene with Africans, yet East Asians are usually light skinned. D)The zebrafish slc24a5 gene and the human SLC24A5 gene are both expressed at high levels in skin and eyes.

(1 point) Determine the average rate of change of the following function between the given values of the variable: f(x) = x4 - - X; x = -2, x = 3 Average rate of change = .

Question Suppose three point masses are placed in the xy-plane as follows (assume coordinates are given in meters): mi = 5 kg, placed at (-2, -3) m2 = 3 kg, placed at (2,3) 'm3 = 2 kg, placed at (-3, -2) Find the center of mass of the system. Write your answer as an ordered pair Provide your answer below:

let f(x)= x^2-5, g(x)= 2x^3+x and p(x)= f(x)g(x). a) computedp/dx b) compute f'(x)g'(x)

Suppose that a company is developing a new touch-screen cell phone. Historically, 70% of their new phones have resulted in high consumer demand, whereas 30% have resulted in low consumer demand. The company has the decision of choosing between two models with different features that require different amount of investment and have different sales potential. Estimated profit/loss are shown in the payoff table below. State of Nature High demand, ($) Low demand, ($) Model 1 300,000 -40,000 Model 2 275,000 -15000 Now suppose the firm conducts a market research study to obtain sample information and better understand the nature of consumer demand. The market research cost $10,000 Analysis of past market research studies, conducted prior to introducing similar products, has found that the survey response will be either high or low. There is a 69% chance that the survey will return a high survey response (results) and there is a 31% chance that the survey will result in lo-demand response (results). The relevant conditional probabilities are as follows: P (high consumer demand, high survey response = 0.913) P (low consumer demand, low survey response = 0.087) P (high consumer demand, high survey response = 0.226) P (low consumer demand, low survey response = 0.774) Calculate the expected value of sample information (EVSI). Develop a decision tree and analyze using QM for Windows. Determine the optimal solution.