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Question :
11.Last year, a soft drink manufacturer had 21% of the : 1414683

11.Last year, a soft drink manufacturer had 21% of the market. In order to increase their portion of the market, the manufacturer has introduced a new flavor in their soft drinks. A sample of 400 individuals participated in the taste test and 100 indicated that they like the taste. We are interested in determining if more than 21% of the population will like the new soft drink.

a.Set up the null and the alternative hypotheses.

b.Determine the test statistic.

c.Determine the *p*-value.

d.At 95% confidence, test to determine if more than 21% of the population will like the new soft drink.

12.In the past, the average age of employees of a large corporation has been 40 years. Recently, the company has been hiring older individuals. In order to determine whether there has been an **increase** in the average age of all the employees, a sample of 64 employees was selected. The average age in the sample was 45 years with a standard deviation of 16 years. Let ? = .05.

a.State the null and the alternative hypotheses.

b.Compute the test statistic.

c.Using the *p*-value approach, test to determine whether or not the mean age of all employees is significantly more than 40 years.

13.The average gasoline price of one of the major oil companies has been $2.20 per gallon. Because of cost reduction measures, it is believed that there has been a significant **reduction** in the average price. In order to test this belief, we randomly selected a sample of 36 of the company's gas stations and determined that the average price for the stations in the sample was $2.14. Assume that the standard deviation of the **population** (?) is $0.12.

a.State the null and the alternative hypotheses.

b.Compute the test statistic.

c.What is the *p*-value associated with the above sample results?

d.At 95% confidence, test the company's claim.

14.A sample of 81 account balances of a credit company showed an average balance of $1,200 with a standard deviation of $126.

a.Formulate the hypotheses that can be used to determine whether the mean of all account balances is significantly different from $1,150.

b.Compute the test statistic.

c.Using the *p*-value approach, what is your conclusion? Let ? = .05.

15.From a population of cans of coffee marked "12 ounces," a sample of 50 cans was selected and the contents of each can were weighed. The sample revealed a mean of 11.8 ounces with a standard deviation of 0.5 ounces.

a.Formulate the hypotheses to test to see if the mean of the population is at least 12 ounces.

b.Compute the test statistic.

c.Using the *p*-value approach, what is your conclusion? Let ? = .05.