The claim is a mean is 116 and you want to prove it is less. Test the hypothesis with a p-value calculation using a 5% level of significance. Your sample of 133 had a mean of 107.88 and standard deviation of 29.
a) Number of Tails: One-tail; P-value: 0.023; Evidence: Strong evidence; Reject or Not: Reject
b) Number of Tails: Two-tail; P-value: 0.046; Evidence: Weak evidence; Reject or Not: Reject
c) Number of Tails: One-tail; P-value: 0.023; Evidence: Strong evidence; Reject or Not: Not
d) Number of Tails: Two-tail; P-value: 0.046; Evidence: Weak evidence; Reject or Not: Not