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If, in a sample of n = 16 selected from a normal population, X= 57 and S=20, what is your statistical decision if the level of significance, a, is 0.10, the null hypothesis, Ho, is μ = 50, and the alternative hypothesis, H₁, is µ ‡ 50? Click here to view page 1 of the table of the critical values of t. Click here to view page 2 of the table of the critical values of t *** Determine the critical value(s). The critical value(s) is(are) (Round to four decimal places as needed. Use a comma to separate answers as needed.)
If, in a sample of n = 20 selected from a normal population, X= 51 and S = 12, what are the critical values of t if the level of significance, a, is 0.05, the null hypothesis, Ho, is μ = 50, and the alternative hypothesis, H₁, is μ #50? Click here to view page 1 of the critical values for the t Distribution. Click here to view page 2 of the critical values for the t Distribution. The critical values of t are t (Round to four decimal places as needed.)
You are the manager of a restaurant for a fast-food franchise. Last month, the mean waiting time at the drive-through window for branches in your geographical region, as measured from the time a customer places an order until the time the customer receives the order, was 3.8 minutes. You select a random sample of 64 orders. The sample mean waiting time is 4.02 minutes, with a sample standard deviation of 0.8 minute. Complete parts (a) and (b) below. a. At the 0.01 level of significance, is there evidence that the population mean waiting time is different from 3.8 minutes? State the null and alternative hypotheses. Ho H H₁ H (Type integers or decimals.) Determine the test statistic. The test statistic is (Round to two decimal places as needed.). State the conclusion. Ho. There is time is different from 3.8 minutes. evidence to conclude that the population mean waiting b. Because the sample size is 64, do you need to be concerned about the shape of the population distribution when conducting the t test in (a)? Explain. Choose the correct answer below. OA. Yes, because n is equal to 64, the sampling distribution of the t test cannot be determined.
The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLS is equal to 7,459 hours. The population standard deviation is 92 hours. A random sample of 64 light bulbs indicates a sample mean life of 7,436 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,459 hours? b. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. c. Compare the results of (a) and (c). What conclusions do you reach? a. Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H₁- Hou H₁: μ What is the test statistic? ZSTAT (Round to two decimal places as needed.) What is/are the critical value(s)? = (Round to two decimal places as needed. Use a comma to separate answers as needed.). What is the final conclusion? OA. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,459 hours. B. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,459 hours. OC. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,459 hours. There in mat fininat dan in noi that the life in diffent from 7 An n Deiant 11
The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLS is equal to 7,459 hours. The population standard deviation is 92 hours. A random sample of 64 light bulbs indicates a sample mean life of 7,436 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,459 hours? b. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. c. Compare the results of (a) and (c). What conclusions do you reach? OC. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,459 hours. O D. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,459 hours b. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. sus (Round to one decimal place as needed.) c. Compare the results of (a) and (c). What conclusions do you reach? A. The results of (a) and (c) are the same: there is sufficient evidence to prove that the mean life is different from 7,459 hours. B. The results of (a) and (c) are not the same: there is sufficient evidence to prove that the mean life is different from 7,459 hours. OC. The results of (a) and (c) are the same: there is not sufficient evidence to prove that the mean life is different from 7,459 hours. D. The results of (a) and (c) are not the same: there is not sufficient evidence to prove that the mean life is different from 7,459 hours.