An employment information service claims the mean annual salary for senior level product engineers is $97,000. The annual salaries (in Annual Salaries dollars) for a random sample of 16 senior level product engineers are 100,746 96,319 93,516 112,673 shown in the table to the right. At a = 0.01, test the claim that the mean 82,442 74,212 77,034 81,025 salary is $97,000. Complete parts (a) through (e) below. Assume the 102,361 76, 136 104,053 103,953 population is normally distributed. 91,063 82, 155 85,012 110,274 . . . (a) Identify the claim and state Ho and Ha. Ho Ha (Type integers or decimals. Do not round.) The claim is the hypothesis. (b) Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are to = (Use a comma to separate answers as needed. Round to two decimal places as needed.)(a) Identify the claim and state Ho and Ha. Ho: Ha: (Type cimals. Do not round.) The c H hypothesis. (b) U: 02 o find the critical value(s) and identify the rej The c is/are to p (Use parate answers as needed. Round to two de Choo hich shows the rejection region.(a) Identify the claim and state Ho and Ha. Ho: Ha: (Type integ s. Do not round.) The claim i: to (Use a com e answers as needed. R Choose the S shows the rejection regi A. B.(a) Identify the claim and state Ho and Ha. Ho: Hai (Type cimals. Do not round.) The c hypothesis. H (b) U: to find the critical value(s) and identify the The c 02 is/are to = (Use parate answers as needed. Round to two p Choo hich shows the rejection region. A(a) Identify the claim and state H0 and Ha. \"o= BED \"at BBB (Type integers or decimals. Do not round.) The claim is the |:| hypothesis. (b) Use technoloi. ilue(s) and identify the rejection region The critical value null (Use a comma tc needed. Round to two decimal places Choose the grap alternative action region. A. '1'\".- R. C. Choose the graph which shows the rejection region. O A. O B. O C. O D. + + + + - to to t to - to 0 to - to 0 to -4 to -4 (c) Find the standardized test statistic, t. The standardized test statistic is t= (Round to two decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis. Ho because the standardized test statistic in the rejection region. (e) Interpret the decision in the context of the original claim. There enough evidence at the % level of significance to the claim that the mean annual salary for senior level product engineers is $ (Type integers or decimals. Do not round.)(d) Decide whether to reject or fail to reject the null hypothesis. Ho because the standardized test statistic in the rejection region. (e) Interpret the decision in the context of the original claim There enough evidence at the % level of signif the claim that the mean annual salary for is senior level product engineers is gers or decimals. Do not round.) is not(d) Dec ject or fail to reject the null hypothesis. is use the standardized test statistic in the rejection region. is not (e) Inte in the context of the original claim. There enough evidence at the % level of significance to the claim that the mean annual salary for senior level product engineers is $ . (Type integers or decimals. Do not round.)(d) Decide whether to reject or fail to reject the null hypothesis. support Ho because the standardized test statistic in reject (e) Interpret the decision in the context of the original claim. There enough evidence at the % level of significance to the claim that the mean annual salary for senior level product engineers is $ . (Type integers or decimals. Do not round.)0 to 0 -4 equal to (c) Find the standardized test stat not equal to The standardized test statistic is t (Round to two decimal places as greater than (d) Decide whether to reject or fai greater than or equal to Ho because the st the rejection region. less than (e) Interpret the decision in the co less than or equal to There enough evidence a the claim that the mean annual salary for senior level product engineers is $ . (Type integers or decimals. Do not round.)