Using a 95% confidence level, determine the margin of error, E, and a confidence interval for the average time Americans spend watching television each day. Report the confidence interval using interval notation. Round solutions to two decimal places, if necessary. The margin of error is given by E=. A 95% confidence interval is given by .

Determine the critical value(s) for a right-tailed hypothesis test for a mean with the given characteristics. Round any z-value solution to two decimal places. Round any t-value solution to four decimal places.

• The significance level of the test is 5%
• The sample size is 44
• The population standard deviation () is known to be 5.3

Should the t or z distribution be used for the above scenario?

• The Student's t distribution should be used
• The standard normal (z) distribution should be used

The critical value(s) for the test are given by ? t z =

A regulation golf ball should weigh 47 grams. A company produces golf balls for the PGA. To help ensure a high degree of accuracy, a random sample of 22 golf balls is drawn from the production line every 60 minutes and each golf ball is measured for accuracy. If the average weight of the sample is found to be significantly different than 47 grams, then the production line is shut down for inspection. The mean weight of a recent sample of 22 golf balls was found to be 43.17 grams. Use the p-value method to test the hypothesis that the mean weight of a golf ball produced by this company is different than 47 grams, using a significance level of 1%. Assume that the distribution of weights of all golf balls produced by this company is known to be approximately normally distributed with a standard deviation of 8.3 grams. State the null and alternative hypothesis for this test. H0:H0:? = > < p = p p p p > p < H1:H1:? = > < p = p p p p > p < Determine if this test is left-tailed, right-tailed, or two-tailed.

• two-tailed
• right-tailed
• left-tailed

Should the standard normal (z) distribution or Student's (t) distribution be used for this test?

• The standard normal (z) distribution should be used
• The Student's t distribution should be used

Determine the test statistic for the hypothesis test. Round the solution to two decimal places. Determine the p-value for the hypothesis test. Round the solution to four decimal places. Determine the appropriate conclusion for this hypothesis test.

• The sample data do not provide sufficient evidence to reject the null hypothesis that the mean golf ball weight produced by this company is 47 grams and thus we conclude that the production line is operating correctly and does not need inspection.
• The sample data provide sufficient evidence to reject the null hypothesis that the mean golf ball weight produced by this company is 47 grams and thus we conclude that the production line needs to be shut down and inspected.
• The sample data do not provide sufficient evidence to reject the alternative hypothesis that mean golf ball weight of golf balls produced by this company is significantly different than 47 ounces and thus we conclude that the production line needs to be shut down and inspected.
• The sample data provide sufficient evidence to reject the alternative hypothesis that mean golf ball weight of golf balls produced by this company is significantly different than 47 ounces and thus we conclude that the production line is operating correctly and does not need inspection.

Hospital emergency rooms (ERs) have a bad reputation for long wait times. To improve their image, many hospitals have worked hard to reduce their ER wait times and frequently advertise their improved, low ER wait times. Raulerson Hospital recently advertised a 12 minute or less wait time at their ER. An accreditation agency is suspicious of this low advertised wait time and would like to test the hospital's claim. A random sample of 94 ER visits to Raulerson Hospital was examined and the mean wait time of the sample was found to be 12.05 minutes. Using a significance level of 0.5%, can the accreditation agency conclude that the hospital's claim about ER wait times is false? Assume that the standard deviation of the wait times of all ER visits at Raulerson Hospital is known to be 1.67 minutes. Use the critical value method. State the null and alternative hypothesis for this test. H0:H0:? = > < p = p p p p > p < H1:H1:? = > < p = p p p p > p < Determine if this test is left-tailed, right-tailed, or two-tailed.

• left-tailed
• two-tailed
• right-tailed

Should the standard normal (z) distribution or Student's (t) distribution be used for this test?

• The Student's t distribution should be used
• The standard normal (z) distribution should be used

Determine the critical value(s) for this hypothesis test. Round the solution(s) to two decimal places. If more than one critical value exists, enter the solutions using a comma-separated list. Determine the test statistic. Round the solution to two decimal places. Determine the appropriate conclusion for this hypothesis test.

• The sample data do not provide sufficient evidence to reject the null hypothesis that the mean ER wait time at is 12 less minutes and thus we conclude that the hospital's claim that the mean ER wait time is 12 or less minutes is likely true.
• The sample data provide sufficient evidence to reject the null hypothesis that the mean ER wait time at is 12 less minutes and thus we conclude that the hospital's claim that the mean ER wait time is 12 or less minutes is likely false.
• The sample data do not provide sufficient evidence to reject the alternative hypothesis that the mean ER wait time at is greater than 12 minutes and thus we conclude that the hospital's claim that the mean ER wait time is 12 minutes or less is likely false.
• The sample data provide sufficient evidence to reject the alternative hypothesis that the mean ER wait time at is greater than 12 minutes and thus we conclude that the hospital's claim that the mean ER wait time is 12 minutes or less is likely true.