Question

Use technology to help you test the claim about the population mean, , at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed Claim: > 1180; &#0.08; 6 = 204.07. Sample statistics: X-1208.65, n = 275 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho:2 1180 OB. Ho: > 1180 H:< 1180 H:Hs 1180 O C. Ho: H = 1208.65 OD. Ho: > 1208.65 H: <1208.65 HS 1208.65 O E. Ho: S 1180 OF HO HS 1208.65 H: > 1180 H:> 1208.65 Calculate the standardized test statistic The standardized test statistic is I. (Round to two decimal places as needed.) Determine the P-value P-(Round to three decimal places as needed.) Determine the outcome and conclusion of the test. Ho. At the 8% significance level, there enough evidence to the claim.

Answer 1

9 We have: a= 0.08 o=204.07 x = 1208.65 and n=275 The null and alternative hypothesis E• Hoo M 2 1180 Hii > 1180

The Standardized test statistic is x-M 1208.65-1180 = 2.33 olun 204.07/1275 P-value P(z>2.33) = |- P(Z32.33) P-value 1- 0.ggolo 0.009 since, p-value (0.08 Reject Ho. At the 8% significance lever, there is sufficient Evidence to support the claim.

Percentage Points for the Standard Normal distribution The table gives percentage points x defined by the equation 1 _/2t2 dt P= - vare 120 x 0 х Р х P x P x P x P x P x 50% 0.0000 5.0% 1.6449 3.0% 1.8808 2.0% 2.0537 1.0% 2.3263 45% 0.1257 4.8% 1.6646 2.9% 1.8957 1.9% 2.0749 0.9% 2.3656 40% 0.2533 4.6% 1.6849 2.8% 1.9110 1.8% 2.0969 0.8% 2.4089 35% 0.3853 4.4% 1.7060 2.7% 1.9268 1.7% 2.1201 0.7% 2.4573 30% 0.5244 4.2% 1.7279 2.6% 1.9431 1.6% 2.1444 0.6% 2.5121 0.10% 3.0902 0.09% 3.1214 0.08% 3.1559 0.07% 3.1947 0.06% 3.2389 25% 0.6745 4.0% 1.7507 2.5% 1.9600 1.5% 2.1701 0.5% 2.5758 20% 0.8416 3.8% 1.7744 2.4% 1.9774 1.4% 2.1973 0.4% 2.6521 15% 1.0364 3.6% 1.7991 2.3% 1.9954 1.3% 2.2262 0.3% 2.7478 10% 1.2816 3.4% 1.8250 2.2% 2.0141 1.2% 2.2571 0.2% 2.8782 5% 1.6449 3.2% 1.8522 2.1% 2.0335 1.1% 2.2904 0.1% 3.0902 0.05% 3.2905 0.01% 3.7190 0.005% 3.8906 0.001% 4.2649 0.0005% 4.4172