HELP PLS

Include the 4 steps

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QUESTIONS:

Is it reasonable to consider a sample of 40 scores with for): = 65 to be a random sample from a population of scores that is normally distributed, with p = 60 and o = 10? Use a = 0.05Ztail in making your decision. An automotive engineer believes that her newly designed engine will be a great gas saver. A large number of tests on engines of the old design yielded a mean gasoline consumption of 27.5 miles per gallon, with a standard deviation of 5.2. Fifteen new engines are tested. The mean gasoline consumption is 29.6 miles per gallon. What is your conclusion? Use a = (3.051 ,3\". Archived reports show that scholars receive an average financial support of PhpSOOO per month with a standard deviation of Php2300. You think your school's scholarship program offers less than this amount so you surveyed 63 scholars in your school and found that the average financial support they get is at Php6850. With this result, were you right in thinking that your school's scholarship program offers less? Steps for solving the 2 test / 2 statistic 1. State the hypotheses and select an alpha level Null Hypothesis - H0: p = population mean Alternative Hypothesis H1: ,u at population mean 2. Draw the normal curve: label the critical value and critical region; determme the critical value refer to the z-table for the critical value 3. Calculate the test statistic Zak n- 4. Make a decision regarding Ha assess whetherzm falls within the critical region lflzml 2 lzairl, reject the null hypothesis. Ifnot, retain the null hypothesis