12	The average age at marriage in the United State is 29 for men. In a random sample of n = 64 Indiana married men, the average age at marriage was x = 27.9 with a standard deviation of s = 5.6 years.
Does this sample provide a significant evidence that the average age at marriage among Indiana men is below the national average?
State the null and alternative hypotheses and compute the test statistic. For the decision rule use = 0.05. The test statistic is,
|TS| = _______.
a	1.84	Reject H.	Conclude that the average age at marriage for Indiana men is below the national average
b	1.84	DNR H.	Do not conclude that the average age at marriage for Indiana men is below the national average
c	1.57	Reject H.	Conclude that the average age at marriage for Indiana men is below the national average
d	1.57	DNR H.	Do not conclude that the average age at marriage for Indiana men is below the national average
13	The expected fill of bottles of a beverage filled in a bottling plant is 750 milliliters (ml). A random sample of n = 9 bottles provided a sample mean of x = 750.67 with a standard deviation of s = 1.971.
Does the sample provide significant evidence that the mean fill exceeds the expected fill? Compute the test statistic (TS) and the critical value at the 5% level of significance. TS = _______.
(If TS is negative, use the absolute value.)
a	1.020	Reject H.	Conclude the mean fill is greater than the expected fill.
b	1.681	Reject H.	Conclude the mean fill is greater than the expected fill.
c	1.020	DNR H.	Do not conclude the mean fill is greater than the expected fill.
d	1.681	DNR H.	Do not conclude the mean fill is greater than the expected fill.
14	The national obesity statistics indicates that 25.6% of adults in the United States are obese. In a random sample of n = 950 adults in Indiana, the proportion who were obese was p = 0.285.
Does the sample provide significant evidence that the obesity rate in Indiana is higher than the national rate? State the null and alternative hypotheses and compute the test statistic (TS) and the probability value.
Use a 5% level of significance. P-value = ______.
a	0.0207	DNR H.	Conclude the Indiana obesity rate is not higher than the national rate.
b	0.0566	DNR H.	Do not conclude the Indiana obesity rate is higher than the national rate.
c	0.0207	Reject H.	Conclude the Indiana obesity rate is higher than the national rate.
d	0.0566	Reject H.	Do not conclude the Indiana obesity rate is higher than the national rate.