Question

claim: the mean systolic blood pressure of all healthy adults is less than 121 mm hg. sample data: for 273 healthy adults, the mean systolic blood pressure level is 119.09 mm hg and the standard deviation is 15.73 mm hg. complete parts (a) and (b). a. express the original claim in symbolic form. let the parameter represent a value with respect to systolic blood pressure of a healthy adult. μ < 121 (type an integer or a decimal. do not round.) b. identify the null and alternative hypotheses. h₀: h₁: (type integers or decimals. do not round.)

Explanation:

Step1: Understand the claim

The claim is about the population mean ($\mu$) of systolic blood pressure of all healthy adults. The claim states it is less than 121 mm Hg.

Step2: Define null and alternative hypotheses

The null hypothesis ($H_0$) is a statement of equality. The alternative hypothesis ($H_1$) is the claim we are testing. Since the claim is $\mu< 121$, the null hypothesis will be the opposite of the alternative hypothesis for a one - tailed test.

Answer:

a. $\mu < 121$
b. $H_0:\mu\geq121$; $H_1:\mu < 121$