Question

a data set about speed dating includes \like\ ratings of male dates made by the female dates. the summar are $n = 184$, $\overline{x}=6.83$, $s = 2.07$. use a 0.10 significance level to test the claim that the population mean of su is less than 7.00. assume that a simple random sample has been selected. identify the null and alternative hypotheses, test statistic, p - value, and state the final conclusion that addresses the original claim

what are the null and alternative hypotheses?

a. $h_0:\mu = 7.00$
$h_1:\mu<7.00$

b. $h_0:\mu = 7.00$
$h_1:\mu>7.00$

c. $h_0:\mu = 7.00$
$h_1:\mu\
eq7.00$

d. $h_0:\mu<7.00$
$h_1:\mu>7.00$

Explanation:

Step1: Determine null and alternative hypotheses

The null hypothesis \(H_0\) is a statement of equality. The claim is that the population mean \(\mu\) is less than \(7.00\). So, \(H_0:\mu = 7.00\) and \(H_1:\mu<7.00\)

Answer:

A. \(H_0:\mu = 7.00\), \(H_1:\mu<7.00\)