Exam 10: Hypothesis Tests Based on a Single Sample

A heat transfer process designed to cool a large electric motor must maintain the temperature as steadily as possible.The allowable variance for the process is 0.3969.Ten measurements of effluent temperature from the process have a variance of 0.4563.Assuming the underlying distribution is normal, does the sample indicate that the variance for the process is larger than allowed? State the critical value (CV), test statistic (TS), and decision from the test.(Use α = 0.05.)

A massive server farm uses temperature-sensitive electronic equipment.The cooling system malfunctions over the weekend, and some of the equipment is damaged.The owners file a claim with their insurance company claiming that 7% of the units were affected throughout the facility.Investigators randomly sample 80 of the units from random locations throughout the server floor.They find 5 defective units.Does it appear that the company's claim is accurate (neither too high nor too low)? State the p-value and decision.(Use α = 0.05.)

A random sample of 20 U.S.adults finds they have an average height of 170.12 cm with sample standard deviation 9.8 cm.Find the TS, p-value, and decision for testing whether the average height of an American adult differs from 175 cm using a 0.05 level of significance.

Consider a significance test for a null hypothesis versus a two-sided alternative with a z-test statistic.Give a value of z that will give a result significant at the 5% level but not at the 1% level.

Which type of error would be considered a "false alarm"?