Question

For this week's discussion, come up with a word problem to test a hypothesis. First, describe...

For this week's discussion, come up with a word problem to test a hypothesis. First, describe a word problem. Then, state the null and alternative hypothesis. Third, select the distribution, either the normal distribution or t distribution, to be used for the test. Finally, state what test is conducted among the following tests: a two-tailed, left-tailed or right-tailed test?

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PROBLEM:- Mean height and standard deviation of male population in Canada are 70 inches and 8 inches. A researcher sampled 50 males in a college and found that the sample mean is 68 inches. Test the claim that the true average height is less than 70 inches in canada.

Solution

Null hypothesis

Alternate hypothesis

We will use normal distribution because the sample size is greater than 30 and the population standard deviation is known.

It is a left tailed hypothesis because we want to test whether the true average is less than the population mean or not. So, it is a left tailed hypothesis  

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