Question

systolic blood pressure levels above 120 mm hg are considered to be high. for the 100 systolic blood pressure levels listed in the accompanying data set, the mean is 120.74000 mm hg, and the standard deviation is 14.70688 mm 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 mm hg.
click the icon to view the data set of systolic blood pressure levels.
identify the null and alternative hypotheses.
h₀
h₁
(type integers or decimals. do not round.)

Explanation:

Step1: Define null hypothesis

The null hypothesis \(H_0\) is a statement of no effect or equality. Here, it is \(H_0:\mu = 120\) (assuming the population mean \(\mu\) is equal to the threshold value of 120 mm Hg).

Step2: Define alternative hypothesis

The claim is that the sample is from a population with a mean greater than 120 mm Hg. So the alternative hypothesis \(H_1:\mu> 120\) (where \(\mu\) is the population mean of systolic blood - pressure levels).

Answer:

\(H_0:\mu = 120\)
\(H_1:\mu>120\)