# Question

Maine Mountain Dairy claims that its 8-ounce low-fat yogurt cups contain, on average, fewer calories than the 8-ounce low-fat yogurt cups produced by a competitor. A consumer agency wanted to check this claim. A sample of 27 such yogurt cups produced by this company showed that they contained an average of 141 calories per cup. A sample of 25 such yogurt cups produced by its competitor showed that they contained an average of 144 calories per cup. Assume that the two populations are normally distributed with population standard deviations of 5.5 and 6.4 calories, respectively.

a. Make a 98% confidence interval for the difference between the mean number of calories in the 8-ounce low-fat yogurt cups produced by the two companies.

b. Test at a 1% significance level whether Maine Mountain Dairy’s claim is true.

c. Calculate the p-value for the test of part b. Based on this p-value, would you reject the null hypothesis if α = .05? What if α = .025?

a. Make a 98% confidence interval for the difference between the mean number of calories in the 8-ounce low-fat yogurt cups produced by the two companies.

b. Test at a 1% significance level whether Maine Mountain Dairy’s claim is true.

c. Calculate the p-value for the test of part b. Based on this p-value, would you reject the null hypothesis if α = .05? What if α = .025?

## Answer to relevant Questions

Explain what conditions must hold true to use the t distribution to make a confidence interval and to test a hypothesis about µ1 – µ2 for two independent samples selected from two populations with unknown but equal ...Refer to the information given in Exercise 10.18. Test at a 1% significance level if the two population means are different n1 = 55 1 = 90.740 s1 = 11.60 n2 = 50 2 = 86.30 s1 = 10.25 An insurance company wants to know if the average speed at which men drive cars is greater than that of women drivers. The company took a random sample of 27 cars driven by men on a highway and found the mean speed to be 72 ...Assuming that the two populations have unequal and unknown population standard deviations, construct a 99% confidence interval for µ1 – µ2 for the following. n1 = 48 1 = .863 s1 = .176 n2 = 46 2 = .796 s1 = .068 Refer to Exercise 10.28. Now assume that the two populations are normally distributed with unequal and unknown population standard deviations. In Exercise 28 a. Make a 90% confidence interval for the difference between the ...Post your question

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