A university claims that the mean time professors are in their offices for students is at least 6.5 hours each week. A random sample of twelve professors finds that the mean time in their offices is 6.2 hours each week. With a sample standard deviation of 0.49 hours from a normally distributed data set, can the university's claim be supported at a=0.05? Homework Help: 6VD. Hypothesis test example, sample standard deviation (5:12) 6DE. When to use z and when to use t distribution (DOCX) Yes, since the p-value is greater than alpha, the null is not rejected, The claim is the null, so is supported " No, since the p-value is less than alpha, the null is rejected. The claim is the null, so is not supported Yes since the p-value is less than alpha, the null is not rejected. The claim is the null, so is supported No. since the p-value is greater than alpha, the null is rejected. The claim is the null so is not supported