Question

Math 227. Winter 2019, H03-10390 stacy perales &1/25/19 12:26 PM Time Remaining: 01:58:37 Submit Qui This Quiz: 9 pts possib Quiz: Ch 7 Quiz This Question: 1 pt Use attest to test the claim about the population mean μ at the given level of O A. Ho H28100 Ha: μ<8100 O C. Ho us 8100 Ha, μ>8100 Η, μ-8100 Η, μ #8100 of the standardized test statistic? The What is the P-value? Click to select your answer(s) arch

Answer 1

The provided sample mean is X 7900 and the sample standard deviation is s 460, and the sample size is n 24 (1) Null and Alternative Hypotheses The following null and alternative hypotheses need to be tested: Ho: μ 8100 Ha: 8100 This corresponds to a left-tailed test, for which a t-test for one mean, with unknown population standard deviation will be used (2) Rejection Region Based on the information provided, the significance level is α-0.05, and the critical value for a left- tailed test is te1.714 The rejection region for this left-tailed test is : t <-1.714 The t-statistic is computed as follows X-Ao 7900-8100 2.13 Since it is observed that 2.13 < te--1.714, it is then concluded that the null hypothesis is rejected 0.022, and since p 0.022 〈 0.05, it is concluded Using the P-value approach: The p-value is p that the null hypothesis is rejected. It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that the population mean μ is less than 8100, at the 0.05 significance level.

a)null and alternate hypothesis
option A)
TS = -2.13
p-value = 0.022

we REJECT null hypothesis