The color of the Star Trek uniform represents each crew-member's work area. In the original Star Trek series, blue shirts are worn by medical and science staff, gold shirts are worn by the command division, and the red shirts were worn by engineering, security and communications division. We will statistically assess whether there is a connection between uniform color and the fatality rate. The table below shows a sample of how many crew-members in each area have died onscreen and their shirt color. Use a = 0.05 to test to see if a crew-member's fatality onscreen is dependent on their uniform color. Blue Gold Red Total Alive 41 22 31 94 a. Choose the correct null and alternative hypotheses. O Ho: There is an association between Star Trek fatalities and uniform color. Ha There is no association between Star Trek fatalities and uniform color. Ho: There is no association between Star Trek fatalities and uniform color. Ha There is an association between Star Trek fatalities and uniform color. b. Complete the following table of expected counts under the assumption that the null hypothesis is true. (Round your answers to 1 decimal place). Blue Dead Total 8 49 6 28 25 56 39 133 Gold Red = P-value= Alive c. Use appropriate technology to compute the value of the test statistic (rounded to 2 decimal places) and the P-value (rounded to 3 decimal places). x² Dead

The stated goal of a chain of service stores is to provide a lube and oil change for anyone's automobile in 15 minutes. The manager at one store thinks that there is a growing disparity among his workers in the time it takes to lube and change the oil of an automobile. To monitor this, the manager has selected a sample of 20 days and has recorded the time it took five randomly selected employees to service an automobile. The data are found below. Complete parts a through d Click the icon to view the data. a. The manager noticed that the longest time it took to service a car was 25.73 minutes. Suppose the distribution of fimes to service a car was normal, with a mean of 15. Without analyzing the sample data, use your knowledge of a normal distribution to give the manager an estimate for the population standard deviation for the time it takes to service a car. The standard deviation is minutes. (Round to two decimal places as needed.) b. Use the data to construct an x- and an R-chart.…

QUESTION 2 Researchers conducted two surveys about teens are their use of social media. The first survey asked a random sample of 800 U.S. teens about their use of Instagram. A second survey asked the same questions to a random sample of 2253 Canadian teens. In these two studies, 73% of U.S. teens and 88% of Canadian teens said that they use Instagram. Use these results to answer the following questions about the proportion of U.S. and Canadian teens that use Instagram. (Round to the nearest whole hundredth as needed). What is the difference between the proportion of U.S. teens and the proportion of Canadian teens? The standard error for these two samples is and the upper limit is Using a 99% confidence level, the lower limit is

The following table gives the proportion of samples of college students in Washington as compared to Texas who support the idea of mandatory mental health counseling once a week for all college students for one year as a prerequisite to graduate with a degree. Texas College Students Washington College Students Number of Yes 42 60 Number of No 58 40