1.A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 15.1 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 14.1, 17.1, 18.1, 19.1, 16.1, 21.1, and 22.1 pounds. What is the sample standard deviation?

• 2.806
• 2.795
• 7.810
• 2.708

2.The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 39 sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 25 sales representatives reveals that the mean number of calls made last week was 40. The standard deviation of the sample is 3.8 calls. Using the 0.100 significance level, can we conclude that the mean number of calls per salesperson per week is more than 39?

H₀: 39

H₁: > 39

a. Compute the value of the test statistic. (Round your answer to 3 decimal places.)

Value of the test statistic________

b. What is your decision regarding H₀?

______________H₀. The mean number of calls is_____________ than 39 per week.

3.The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their weddings in the Caribbean. A Caribbean vacation resort recently advertised in Bride Magazine that the cost of a Caribbean wedding was less than $30,000. Listed is a total cost in $000 for a sample of eight Caribbean weddings. At the 0.10 significance level, is it reasonable to conclude the mean wedding cost is less than $30,000 as advertised?

30.0 28.5 28.6 29.3 28.6 30.9 29.6 29.5

a. State the null hypothesis and the alternate hypothesis. Use a 0.10 level of significance. (Enter your answers in thousands of dollars.)

? H0: ______

? H1: <_______

b. State the decision rule for 0.10 significance level. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

?Reject H0 if t <_______

c. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

? Value of the test statistic_______

d. What is the conclusion regarding the null hypothesis?

?__________H0. The cost is_____________than $30,000.