A nutritionist for a university wants to determine an average BMI of its students by taking a random sample of 50 students. The standard deviation of the BMIs of population of students is unknown. She is willing to accept a Type I error rate of 0.05. The mean BMI for the sample is 26 and the standard deviation is 3. What is the appropriate statistical decision with respect to the null hypothesis that the mean BMI for students at the university is 25, and the alternative hypothesis that the mean BMI is different from 25? Select answer from the options below Accept the null hypothesis and conclude that the population mean BMI is equal to 25. Reject the null hypothesis and conclude that the population mean BMI is different from 25. Fail to reject the null hypothesis and conclude that the population mean BMI is greater than 25. Fail to reject the null hypothesis; there is not enough evidence to conclude that the population mean BMI is different from 25.
