Please help solve p value and part b!!! write step by step!

A sample of 12 radon detectors of a certain type was selected, and each was exposed to 100 pCi/L of radon. The resulting readings were as follows: 103.5 107.9 100.3 105.8 99.8 96.7 97.1 92.6 91.4 105.2 91.1 91.5 LA USE SALT (a) Does this data suggest that the population mean reading under these conditions differs from 100? (Use a = 0.05.) State the appropriate null and alternative hypotheses. O Ho: M = 100 Ha: u 100 OH: M = 100 Ha: H # 100 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = -0.808 P-value = State the conclusion in the problem context. O Do not reject the null hypothesis. There is sufficient evidence to conclude that the population mean reading under these conditions differs from 100 pci/L. O Do not reject the null hypothesis. There is not sufficient evidence to conclude that the population mean reading under these conditions differs from 100 pci/L. Reject the null hypothesis. There is sufficient evidence to conclude that the population mean reading under these conditions differs from 100 pci/L. O Reject the null hypothesis. There is not sufficient evidence to conclude that the population mean reading under these conditions differs from 100 pci/L. (b) Suppose that prior to the experiment a value of o = 7.5 had been assumed. How many determinations would then have been appropriate to obtain S = 0.10 for the alternative u = 95? (You will need to use the appropriate table in the Appendix of Tables to answer this question.) determinations