Question 975352
standard deviation is 6.1155

This is a two-tailed  test determining whether the sample sd= population sd

or the ratio of 37.4/49= 0.763 (using the variances) differs significantly from 1. The test statistic follows a Chi-Square distribution with 48 degrees of freedom. Because the value can be in either direction from 1, both ends of the distribution are considered.

Test statistic=(n−1)(s/(sigma)2
This is (48)(6.1155-7)^2=37.548
Chi square distribution is followed with 48 degrees of freedom.

The critical values are about 30 on the low end and about 69 on the upper end.  We fail to reject the null hypothesis and conclude there is insufficient evidence to reject Ho that says the sample sd=population sd.  

0.10<p.  Note, with rounding, 0.05<p<0.10 might be obtained, especially with 36.64.

C is the answer.  If you were ever guessing, A and D as written are always wrong.