Question

a. what type of test will be used in this problem? a test for the mean using the t - distribution (t - test) b. identify the null and alternative hypotheses? $h_o: mu leq 891$ $h_a: mu > 891$ c. is the original claim located in the null or alternative hypothesis? alternative hypothesis d. calculate your test statistic. write the result below, and be sure to round your final answer to two decimal places. 2.87

Explanation:

Step1: Recall t - test statistic formula

The formula for the one - sample t - test statistic is $t=\frac{\bar{x}-\mu_0}{s/\sqrt{n}}$. However, since the value of the test statistic is already given as 2.87 in part d, we assume that the necessary calculations (using sample mean $\bar{x}$, hypothesized mean $\mu_0 = 891$, sample standard deviation $s$ and sample size $n$) have been done.

Answer:

a. A test for the mean using the t - distribution (t - test)
b. $H_0:\mu\leq891$, $H_a:\mu > 891$
c. Alternative Hypothesis
d. 2.87