Problem

Systolic blood pressure levels above $120 \mathrm{~mm} \mathrm{Hg}$ are considered to be high. For the 100 systolic blood pressure levels listed in the accompanying data set, the mean is $120.38000 \mathrm{~mm} \mathrm{Hg}$ and the standard deviation is $15.08948 \mathrm{~mm} \mathrm{Hg}$. Assume that a simple random sample has been selected. Use a 0.10 significance level to test the claim that the sample is from a population with a mean greater than $120 \mathrm{~mm} \mathrm{Hg}$. Click the icon to view the data set of systolic blood pressure levels. Identify the null and alternative hypotheses. (Type integers or decimals. Do not round.)

Solution

Step 1 :Identify the null and alternative hypotheses.

Step 2 :The null hypothesis (H0) is a statement of no effect, relationship, or difference in our experiment or observation. In this case, the null hypothesis would be that the mean systolic blood pressure is equal to 120 mm Hg.

Step 3 :The alternative hypothesis (H1) is the statement that we want to test and provides an alternative to the null hypothesis. In this case, the alternative hypothesis would be that the mean systolic blood pressure is greater than 120 mm Hg.

Step 4 :Final Answer: The null hypothesis (H0) is that the mean systolic blood pressure is equal to 120 mm Hg. The alternative hypothesis (H1) is that the mean systolic blood pressure is greater than 120 mm Hg.

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Source: https://solvelyapp.com/problems/18765/

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