Consider Ho: M = 45 versus H₁: μ< 45. a. A random sample of 25 observations produced a sample mean of 41.4. Using a = 0.05, would you reject the null hypothesis? The population is known to be normally distributed with o = 9. b. Another random sample of 25 observations taken from the same population produced a sample mean of 43.3. Using a = 0.05, would you reject the null hypothesis? The population is known to be normally distributed with = 9.

156% of studentss entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 183 of the 286 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a = -0.10 a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: 7 v ||Select an answer V (please enter a decimal) H [?v||Select an answer v (Please enter a decimal) c. The test statistic 7v (please show your answer to 3 decimal places.) d. The p-value (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer vthe null hypothesis. g. Thus, the final conclusion is that ,

Given the following null and alternative hypotheses, conduct a hypothesis test using an alpha equal to 0.05. (Note: The population standard deviations are assumed to be known.) H0: µ1 ≤ µ2 HA: µ1 > µ2 The sample means for the two populations are shown as follows: sample mean 1 = 144,  sample mean 2 = 129 population standard deviation 1 = 11,  population standard deviation 2 = 16 sample size 1 = 40, sample size 2 = 50 Answer:  Decision Rule : Reject H0 if  Zcal > citical value Z =  Test statistic: (Z calculated) Zcal =    (use 4 decimal places)Conclusion:    H0.

The dean of a university estimates that the mean number of classroom hours per week for​ full-time faculty is 11.0. As a member of the student​ council, you want to test this claim. A random sample of the number of classroom hours for eight​full-time faculty for one week is shown in the table below. At α=0.10​, can you reject the​ dean's claim? Assume the population is normally distributed.   12.3     9.1     11.8     6.7     6.2     10.6     14.6     9.1    What is the P value?    Reject or fail to reject Ho?    At α=0.10​, can you reject the​ dean's claim?

Laura asks whether the type of school students attend (private versus public) results in different performance on a test. A sample of N=100 students from a private school produce a mean of 71.30 on a test, and the mean of the population of public school students is µ=75.62 with ?௫ =28. a. Write the alternative hypothesis. b. Write the null hypothesis. c. With α=.05, what is zcrit? d. Compute zobt e. What should Laura conclude?

a sample is selected from a normal population with u=40 and σ =12. If the sample mean of M=36 corresponds to z=-2.00, then the sample size is n=64. is it true or false

We test the null hypothesis Ho:μ = 10 against the alternative Ha:μ<10 for a normal population with σ = 4. A random sample of 16 observations is drawn from the population, and we find the sample mean of these observations to be x̅ = 12. The P-value is?

A sample of 30 observations is selected from a normal population. The sample mean is 59, and the population standard deviation is 8. Conduct the following test of hypothesis using the 0.02 significance level.H0: μ = 62H1: μ ≠ 62 a. Is this a one- or two-tailed test? (One-tailed or Two-tailed) b. What is the decision rule? (Reject H0 if −2.326 < z < 2.326 or Reject H0 if z < −2.326 or z > 2.326) c. What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)The value of the test statistic is d. What is your decision regarding H0? (Reject H0 or Fail to reject H0)  e-1. What is the p-value? (Round your z value to 2 decimal places and final answer to 4 decimal places.)The p-value is e-2. Interpret the p-value? (Round your z value to 2 decimal places and final answer to 2 decimal places.)There is a  % chance of finding a z value this large by "sampling error" When H0 is true.

We have specified the “tailedness” of a hypothesis test for a population mean with null hypothesis H0: μ = μ0. a. draw the ideal power curve. b. explain what your curve in part (a) portrays. left-tailed