Q1) Sample size of 31 is utilized to test Ho:u=50 vs Ha:u is not equal 50

Given mean x=48.2 and std=5.1

i) Determine the calculated value of the test statistic?

ii) What distribution does test statistic have when null hypothesis is true?

iii) Is alternative hypothesis one-tailed or two-tailed?

iv) What is the p-value? 

Q2) Researcher is interested in evaluating noise levels in decibels at area urban hospitals. She wishes to be 99% confident that her estimate is right. If standard deviation is 4.8, how large a sample is required to get desired information to be correct within 0.60 decibels? Illustrate all work.