Q1) A researcher wishes to test the hypothesis H₀:=16using a sample with mean =18.9, standard deviation =4.5and n =20.What is the test-statistic for this hypothesis test?(Give your answer to 1decimal place.)

Q2) A sample of n = 40observations yields a test statistic of 2.08.The test statistic has a t-distribution with n-1 degrees of freedom, and the alternative hypothesis is upper-tailed.What is the associated p-value for this test?(Give your answer to 3 decimal places)

Q3) A lecturer wishes to calculate the average time spent on an essayto within amargin of errorof1.5hours.Apilot study using a sample of 50students produces a mean of 23hours and a standard deviation of 10.5hours.What is the required sample size?

Q4) A researcher wishes to estimate a population proportion to within a margin of error of 0.05.A pilot sample of 60 observations has a sample proportion equal to 0.3.Using this sample proportion, how large a sample is needed to achieve the desired margin of error?

Q5) You wish to test the null hypothesis H₀: p =0.45 using a sample with sample proportion = 0.62 and n = 50.What is the value of the test statistic?(answer to 2 decimal places)

NB: the sample proportion has standard error