(Solved): 1) It is believed that the mean GPA for all biology majors is \( 3.6 \) at Mesa College. We randoml ...

1) It is believed that the mean GPA for all biology majors is \( 3.6 \) at Mesa College. We randomly select 30 biology students and find out that their sample mean GPA is \( 3.49 \) with a sample standard deviation of \( 0.4 \). Has the GPA changed? a) State the null and alternative hypotheses. b) Find the test statistic. c) Find an interval for the p-value. d) At a \( 5 \% \) significance, what is your decision? e) What is your conclusion? 2) An environmental scientist wants to test the null hypothesis that an antipollution device for cars is not effective. Under which of the following conditions would a Type I error be committed? a) The scientist concludes that the device is effective when it actually is not. b) The scientist concludes that the device is not effective when it actually is. c) The scientist concludes that the device is effective when it actually is. d) The scientist concludes that the device is not effective when it actually is not.