Question

Consider the following hypotheses: HA μ <150 A sample of 80 observations results in a sample mean of 144. The population standard deviation is known to be 28. Use Table 1 a. What is the critical value for the test with α-001 and with α-005? (Negative values should be Indicated by a minus sign. Round your answers to 2 declmal places.) ue a 0.01 a 0.05 b-1. Calculate the value of the test statistic. (Negative value should be Indicated by a minus sign. Round your Intermedlate calculations to 4 declmal places and final answer to 2 declmal places.) Test statistic b-2 Does the above sample evidence enable us to reject the null th ypothesis at a 0.012 O Yes since the value of the test statistic is not less than the negative critical value. O Yes since the value of the test statistic is less than the negative critical value. O No since the value of the test statistic is not less than the negative critical value O No since the value of the test statistic is iess than the negative critical value Does the above sample evidence enable us to reject the null hypothesis at a 0.05? o Yes since the value of tne test statistic is not less than the negative critical alue O Yes since the value of the test statistic is less than the negative critical o No since the value of the test statistic is not less than the negetive critical value value.

Answer 1

Sample size,n- &t Sample mean,X- 144 Population standard deviati on, Ơ_2g Critical value for +he tent Criticalvalul 2. 33 64- Test statistic,z - 144-150 2. 8 oPion ) No, Since the value of the te)t StatisHo is not less than the ragae enitical ae. oPtion (B) the valua of the test statistic Yes, since is less than the negatrive criical value