(a) the test statistic (b) the critical z score
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- Q1. (a) The data shown in Table 1 are the average petrol consumption of sedan cars in kilometre per litre (KPL), rounded to one decimal place. A01 B23 С45 D67 E89 18.2 18.2 18.2 20.4 18.2 14.9 14.9 14.9 16.1 14.9 17.2 17.2 17.2 15.9 17.2 14.3 14.3 14.3 20.3 14.3 10.5 10.5 10.5 18.2 10.5 17.2 17.2 17.2 15.9 17.2 17.5 17.5 13.5 17.2 9.5 15.8 9.5 14.3 14.3 15.4 15.9 13.5 9.5 12.7 15.6 11.6 13.3 11.6 13.4 11.6 18.5 13.3 20.8 13.3 21.3 11.9 10.8 18.5 14.7 11.9 16.1 14.5 11.9 11.8 18.9 14.5 11.9 12.3 10.5 13.9 18.9 17.5 15.8 18.9 18.2 15.6 11.6 10.8 14.9 13.3 18.2 14.5 13.3 15.8 10.8 Table 1. Answer the following questions using the corresponding data sets A01, B23, C45, D67 and E89 that consist of the last digit of your Student ID card. For example, a student ID of 1907174 will use data set C45 while a student ID of 2201910 will use data set A01.Zachary works as a quality control engineer at Ford Motor Company. One of his job responsibilities is estimating the proportion of defective engines coming off a production line. The production line setting allows for a defective rate of 5%. In a periodical quality checkup, Zachary selected 100 engines that came off the production line. What is the chance Zachary will find more than 10 defective engines? The corresponding Z score is _____Compute a confidence interval (95% interval, 2-tailed) for a mean. Data: sample mean = 38.5; sample standard deviation=8; N= 22. CL=
- Age discrimination: the following table presents the number of employees, by age group, who were promoted, or not promoted, in a sample drawn from a certain industry during the past year.The p-value for a t-statistic was .008. What is the best way to report the level of significance? p<.008 p<.05 p<.01 p<.001Determine the margin of error for the confidence interval for the mean: 23 +1.7 The margin of error is
- B.) Find the critical? value(s) and identify the rejection? region(s). C.) Find the standardized test statistic. D.) Decide whether to reject or fail to reject the null hypothesis. E.) Interpret the decision in the context of the original claim.The cross-tabulation data given below show the number of people who rated a customer service representative as friendly and polite based on whether the representative greeted them first. Complete parts a through d below. Friendliness/Politeness Staff Greeting No No Yes Yes 12 15 6 19 a. Write the hypotheses for the chi-square test for independence. Ho Greeting and Customer Service Rating are independent H₁: Greeting and Customer Service Rating are dependent b. Find the expected frequencies. Friendliness/Politeness Staff Greeting No Yes No Grand Total 18 Yes 34 Grand Total 27 25 52 (Type integers or decimals rounded to two decimal places as needed.)Select the correct box plot for the given data
- Using the t-table, find the critical value for a left-tailed test with a significance level of 10% and a sample size of 25.calculate the z-score of the dataA statistician changes her level of significance from .001 to .05. What impact will this change have on her risk of making a Type I and Type II error? Is the change in the level of significance a good decision? Why or why not?