In: Statistics and Probability
1. You wish to test the following claim (Ha) at a significance
level of α=0.10.
Ho:μ=53.2
Ha:μ<53.2
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=33 with
a mean of M=48.9 and a standard deviation of SD=7.4.
a) What is the critical value for this test? (Report answer
accurate to three decimal places.)
critical value =
b) What is the test statistic for this sample? (Report answer
accurate to three decimal places.)
test statistic =
2) Test the claim that the proportion of men who own cats is
smaller than 20% at the .05 significance level. Based on a sample
of 45 people, 12% owned cats
a) The test statistic is: (to 2 decimals)