Answer this question by solving by hand and showing your work. At a large tech company, the attitudes of workers are reg

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Answer this question by solving by hand and showing your work.At a large tech company, theattitudes of workers are regularly measured with a standardizedtest. The scores on the testrange from 0 to 100, with higher scores indicating greatersatisfaction with their job. The meanscore over all of the company’s employees was 74, with a standarddeviation of 𝜎 = 8. Some
time ago, the company adopted a policy of telecommuting. Underthis policy, workers couldspend one day per week working from home. After the policy had beenin place for six months, arandom sample of 80 workers was given the test to see whether theirmean level of satisfactionhad improved since the policy was put into effect. The sample meanwas 56. Assume thestandard deviation is still 𝜎 = 8. Do the data provide evidence tosupport the theory thatworking from home will increase the mean level of satisfaction ofemployees at the 𝛼 = 0.05level?a. What are your null and alternative hypotheses?b. What test is appropriate here (z or t?; one-tailed or twotailed?) Why?c. What is your test statistic?d. What is your critical value?e. What is your final decision: do you reject the null or fail toreject the null?