# Testing a Null Hypothesis on a Random Sample of 100 In the following exercises we consider using a r

Testing a Null Hypothesis on a Random Sample of 100

In the following exercises we consider using a random sample
of 100 measurements to test null hypothesis: u=80 versus alternative
hypothesis: u>80

816 If mean x =85 and standard deviation =20, calculate the
value of the test statistic z

818 Use a rejection point to test null hypothesis versus
alternate hypothesis by setting probability of Type I error equal to 05

820 Use a rejection point to test null hypothesis versus
alternate hypothesis by setting probability of Type I error equal to 001

852 Suppose that a random sample of nine measurements from
a normally distributed population gives a sample mean of x = 257 and a sample
standard deviation of s = 3 Use rejection points to test null hypothesis : u=
3 versus alternate hypothesis: u does not equal 3 using levels of significance
a= 10, a=05, a=01, and a=001 What do you conclude at each value of a? 