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

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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?

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