Problem 1.Name the tests for each part below answer

1. State the name of relevant hypothesis test:
   • One sample z-test for proportion p
   • One sample t-test for mean
   • Matched pairs t-test for the mean of difference _D
   • Independent two-sample t-test for difference of means ₁- ₂

1. Define parameter(s) of interest and state the null and alternative hypotheses.

No need to conduct 5 step hypothesis test.

1. The Drug Lipitor is meant to reduce total cholesterol and LDL cholesterol. In clinical trials, 19 out of 863 patients taking 10 mg of Lipitor daily complained of flulike symptoms. Is there evidence to conclude that less than 3.8% of Lipitor users experience flulike symptoms as a side effect at the = 0.01 level of significance?
2. Researchers at the University of Mississippi wanted to determine whether the reaction time (in seconds) of males is less than that of females for a go/no go study. The go/no stimulus required that student to respond to a particular stimulus and not to respond to other stimuli.
3. To test the belief that sons are not of the same height as their fathers, a student randomly selects 13 fathers who have adult male children and records the height of both the father and the son. Use the = 0.01 level of significance.
4. Carl Reinhold August Wunderlich said that the mean temperature of humans is 98.6F. Some researchers thought that the mean temperature is greater than 98.6F. They measured the temperature of 700 healthy adults, obtaining 700 measurements. The sample data resulted in a sample mean of 98.2F and a sample standard deviation of 0.7F.