1) Based on a sample of 75 people, the sample mean GPA was 2.94 with a standard deviation of 0.08

The critical value is:

2)

You wish to test the following claim (Ed at a significance level of o: : 0.10. Hazy. = 7'55 Hazy. 7E 75.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 15.2 63.9 67.5 81.8 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = C] What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = Testing a claim about a population mean: t-Test You work for a steel company that produces "lag bolts". One product is a 10-inch lag bolt. A recent re- design of a machine involved in the production of these bolts has the company wondering whether the production still produces 10-inch lag bolts. You have gathered a random sample of bolts that have been produced with this new production process. Conduct an appropriate test, at a 5% significance level (ta = @1325 % 2.1098) , to determine if the overall mean for this process is 10 inches. Data [lag bolt lengths, measured in inches): 10.04 10.03 10.00I 10.01 10.02 9.99 9.97 9.95 10.05 9.94 9.99 10.05 10.00 9.94 9.89 9.96 9.95 10.02 Sample Statistics 11218 9.98889 3 = 0.04418 HI || Testing a claim about a population mean: t-Test An overly involved "neighborhood watch" group has been investigating the length of lawns. In years past, lawns had been mowed to a mean length of 3.1 inches. A recent random sample of lawn lengths is given below. Conduct an appropriate test, at a 5% significance level, to determine if the overall mean lawn length is now higher than 3.1 inches. Data (lawn lengths, measured in inches): 3.47 4.39 4.84 2.56 2.45 3.73 3.90 3.85 3.77 2.55 4.22 3.47 1.59 3.83 2.92 4.04 3.10 2.98 3.34 Checksum: 65