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A local newscaster reports that the average rainfall in the month of June is approximately 91...

A local newscaster reports that the average rainfall in the month of June is approximately 91 mm. However, a meteorologist wishes to test this claim, believing that the average rainfall in June is actually higher than 91 mm. He collects data on the average June rainfall for 10 randomly selected years, and computes a mean of 94 mm. Assuming that the population standard deviation is known to be 18.4, and that rainfall is normally distributed, determine each of the following:

a) What are the appropriate hypotheses:

H0:μ=91,HA:μ≠91
H0:X¯=91,HA:X¯>91
H0:μ=91,HA:μ>91
H0:X¯=91,HA:X¯≠91

b) Calculate the appropriate test statistic.

Round your answer to at least 3 decimal places.

   

c) What is the appropriate conclusion that can be made, at the 5% level of significance?

There is sufficient evidence to reject the null hypothesis, and therefore conclude that the mean rainfall in June is more than 91 mm.
There is insufficient evidence to reject the null hypothesis, and therefore no significant evidence that the mean rainfall in June is different from 91 mm.
Math   Statistics-And-Probability   
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