A company that makes cola drinks

A Company That Makes Cola Drinks States That The Mean Caffeine Per 12-Ounce Bottle Of Cola Is 35 Milligrams

A company that makes cola drinks states that the mean caffeine per 12-ounce bottle of cola is 35 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 32.8 milligrams with a standard deviation of 7.9 milligrams. At a=0.05, can you reject the company’s claim?

a) Identify H0 and Ha

b) Find the critical value(s) (round to two decimal places as needed.

A. The critical value is

B. The critical values are ±1.96

c) Find the standardized test statistic. Z= (round to two decimal places as needed)

d) Decide whether to reject or fail to reject the null hypothesis.

A. since z is the rejection region, fail to reject the null hypothesis.

B. since z is not in the rejection region, fail to reject the null hypothesis.

C.since z is in the rejection region, reject the null hypothesis.

D.since z is not in the rejection region, reject the null hypothesis.

e)At the 5% significance level, there (is or) enough evidence to (support or) the companys claim that the mean caffeine content per 12-ounce bottle of cola (is different from, , is greater than, is less than) milligrams.

1. Construct the indicated confidence intervals for the population variance : c=0.99, S2 = 0.64, n=7

2. An auto manufacturer believes that the variance of the gas mileages of its hybrid vehicles is 1.0. You work for an energy conservation agency and want to test this claim. You find that a random sample of the gas mileages of 25 of the manufacturers hybrid vehicles has a variance of 1 65. At a=0.05, do you have enough evidence to reject the manufacturer's claim?

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4. A personal director from Florida claims that the mean household income is greater in Hillsborough County than it is on Polk County. In Hillsborough County, a sample of 10 residents had a mean household income of $49,800 and a standard deviation of $4,200. In Polk County, a sample of 16 residents has a mean household income of $44,400 and a standard deviation of $8,600. At a=0.1, can you support the personnel director's claim? Assume the population variances are equal.