Question

Use technology to help you test the claim about the population mean, H. at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed Claim: > 1230; a=0.02; o = 199.18. Sample statistics: x=1249.87, n=250 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho 51230 Ha > 1230 | 0 C. Hp: Hs124987 Ha> 1249.87 OE. Ho: > 1249.87 Ha S 1249.87 O B. Ho 2 1249.87 Ha u < 1249.87 O D. Ho> 1230 He us1230 OF. Ho H21230 Ha u < 1230 Calculate the standardized test statistic The standardized test statistic is - (Round to two decimal places as needed) Determine the P-value. =(Round to three decimal places as needed) Determine the outcome and conclusion of the test. Ho-At the 2% significance level, there enough evidence to the claim lite to

Answer 1

Soluhon! We have given that n = sample size = 250 = Sample mean - 1249.87 o popuan'on standard deviation - 199.18 d = level of significance Hypothesis Here we have to test the claim u > 1230 That is here we have to test Ho 4 > 1230 This is corresponds to against = 0.02 left tailed test H: A < 1 2 30 Pest statistics Here 1= 250, which is large (n7,30), thus we have uring Z-best statistic for this test. The zo statistic is given by Zstat 7 - M N Normal (0, 1) distribution to olun M: The value under Ho ; US 1230 ZE 1249.87 - 1230 199.18 1.577 0 -- two decimal point Shat 8/8250 = 1.58

P.value; The value for lett tuiled test is Probabiliny [z < stat] ZONCO,1) dismibun'on • PLZ< 1.577] from 0 (P-value = 0.9426 p_value = 0.943 Yound to 3 decimal fº Conclusion . From Here p-va value & 0.9426 > 0.02 at 2% significance level Thus , accept Ho There is sufficient evidence to claim $31138 U > 1230

Soluhon! We have given that n = sample size = 250 = Sample mean - 1249.87 o popuan'on standard deviation - 199.18 d = level of significance Hypothesis Here we have to test the claim u > 1230 That is here we have to test Ho 4 > 1230 This is corresponds to against = 0.02 left tailed test H: A < 1 2 30 Pest statistics Here 1= 250, which is large (n7,30), thus we have uring Z-best statistic for this test. The zo statistic is given by Zstat 7 - M N Normal (0, 1) distribution to olun M: The value under Ho ; US 1230 ZE 1249.87 - 1230 199.18 1.577 0 -- two decimal point Shat 8/8250 = 1.58