No explanations needed, only correct solutions, thank you:
1.
A magazine claims that the mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World. The results for samples of customer transactions for the two fast food restaurants are shown below. At a = 0.10, can you support the magazine's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. Burger Stop Fry World #1 - 58.78 #2 - 58.15 -50.79 $2 - 50.67 M, - 14 By - 13 (a) Identify the claim and state Ho and He. Which is the correct claim below? () . "The mean amount spent by a customer at Fry World is greater than the mean amount spent by a customer at Burger Stop." "The mean amount scent by a customer at Burger Stoo is not equal to the mean amount spent by a customer at Fry Work." ( C. "The mean amount scent by a customer at Burger Stoo is equal to the mean amount sent by a customer at Fry World." &D. "The mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World." What are He and Ha ? The null hypothesis, Hy, is j, Spy. The alternative hypothesis, He. is Py > 12. Which hypothesis is the claim? The altamalive hypothesis, Ha O The null hypothesis, Ho (b) Find the critical value(s) and identify the rejection region(s). Enter the critical value(s) below. Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 15 mature female pink seaperch collected in fall has a mean length of 106 millimeters and a standard deviation of 12 millimeters. A sample of 8 mature female pink seaperch collected in winter has a mean length of 105 millimeters and a standard deviation of 13 millimeters. At a =0.02, can you support the marine biologist's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. (a) Identify the claim and state Hy and Ha. Which is the correct claim below? (A. "The mean length of mature female oink seaperch is creater in the fall than in the winter." OB. "The mean length of mature female oink seaperch is creater in the winter than in the fall." WC. "The mean length of mature female oink seaperch is different in fall and winter." ()D. "The mean length of mature female pink seaperch is the same in fall and winter." What are Hy and He ? The null hypothesis, He. is H, = F2" The alternative hypothesis, H . is H, #2- Which hypothesis is the claim? O The null hypothesis, Ho The alternative hypothesis, H. (b) Find the critical value(s) and identify the rejection regionis) Enter the critical value(s) below (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)A personnel director in a particular state claims that the mean annual income is greater in one of the state's counties (county A) than it is in another county (county B). In County A, a random sample of 12 residents has a mean annual income of $42,100 and a standard deviation of $8400. In County B, a random sample of 10 residents has a mean annual income of $39,400 and a standard deviation of $5200. At a= 0.006, answer parts (a) through (e]. Assume the population variances are not equal. If convenient, use technology to solve the problem. (a) Identify the claim and state Ho and Ha- Which is the correct claim below? A. "The mean annual incomes in counties A and B are not equal." B. "The mean annual income in county A is greater than in county B." OC. "The mean annual incomes in counties A and B are equal." (D. "The mean annual income in county A is less than in county B." What are Hy and Ha? The null hypothesis, Ho. is y S p2 . The alternative hypothesis, Ha, is My > H2 Which hypothesis is the claim? O The null hypothesis, Hy The alternative hypothesis, Ha (b) Find the critical value(s) and identify the rejection region(s). Enter the critical value(s) below. O (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)
