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 eight 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 =0.05?

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 greater 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 less than alpha, the null is rejected. The claim is the null, so is not supported