Reference no: EM132907285

For each of the questions show all of your work and complete each of the following steps:

a) Identify the claim and state the null and alternative hypothesis mathematically

b) Find the critical values and identify the rejection regions

c) Find the standardized test statistic

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

e) Interpret the decision in the context of the original claim

1. A travel association says the mean daily lodging cost for a family traveling in California is the same as in Florida. The mean daily lodging cost for 35 families traveling in California is $136 and the standard deviation is $25. The mean daily lodging cost for 35 families traveling in Florida is $140 and the standard deviation is $30. At a significance level of 0.10, is there enough evidence to reject the travel association's claim?

2. A restaurant association says that households in the United States headed by people under the age of 25 spend less on food away from home than households headed by peoples ages 55-64. The mean amount spent by 30 households headed by people under the age of 25 is $1526 and the standard deviation is $225. The mean amount spent by 30 households headed by people ages 55-64 is $2136 and the standard deviation is $350. Can you support the restaurant association's claim with a significance level of 0.05?

3. Ford Motor Company's website states it is the fastest car manufacturer in the world. The time it took for Ford to finish production of 100 cars was compared to General Motor's production time. For 5 randomly selected Ford manufacturing facilities, the mean time of completion was 15 hours with a standard deviation of 4.3 hours. For 5 randomly selected GM manufacturing facilities, the mean completion time was 20 hours with a standard deviation of 7.5 hours. At a significance level of 0.05, can you reject Ford's claim? Assume the population variances of equal.

4. Using the information from question 3, how would your results differ if the population variances were not equal? Show all work.

5. In a survey of 15,200 college students, 5335 said they had smoked in the last 30 days. In another survey of 12,900 college students taken four years later, 3444 said they had smoked in the last 30 days. At a significance level of 0.01, can you reject the claim that the proportion of college students who said they had smoked in the last 30 days has not changed?

6. A medical group studied the ailments of adults with diabetes. Of 8,750 adults who are diabetic, 2100 have high cholesterol. Of 12,350 adults who are not diabetic, 1482 have high cholesterol. At a significance level of 0.05, can you reject the claim that the proportions of adults who have high cholesterol are the same for the two groups?