Kurtis is a statistician who claims that the average salary of an employee in the city of Yarmouth is no more than $55,000 per year. Gina, his colleague, believes this to be incorrect, so she randomly selects 61 employees who work in Yarmouth and record their annual salary. Gina calculates the sample mean income to be $56,500 per year with a sample standard deviation of 3,750. Using the alternative hypothesis H1 : 55.0 appropriate hypothesis test. Round the test statistic to two decimal places and the p-value to three decimal places. Right-Tailed T-Table probability Degrees of Freedom 54 0.00040.00140.00240.00340.00440.00540.0064 56 57 58 59 60 3.562 3.135 2.943 2.816 2.719 2.641 2.576 3.558 3.132 2.941 2.814 2.7172.640 2.574 3.554 3.130 2.939 2.8122.716 2.638 2.572 3.550 3.127 2.937 2.810 2.714 2.636 2.571 3.547 3.125 2.935 2.8082.712 2.635 2.569 3.544 3.122 2.933 2.806 2.711 2.633 2.568 3.540 3.120 2.931 2.805 2.709 2.632 2.567 Provide your answer below , p-value -

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Kurtis is a statistician who claims that the average salary of an employee in the city of Yarmouth is no more than $55,000
per year. Gina, his colleague, believes this to be incorrect, so she randomly selects 61 employees who work in Yarmouth and
record their annual salary. Gina calculates the sample mean income to be $56,500 per year with a sample standard
deviation of 3,750. Using the alternative hypothesis H1 : 55.0
appropriate hypothesis test. Round the test statistic to two decimal places and the p-value to three decimal places.
Right-Tailed T-Table
probability
Degrees of
Freedom
54
0.00040.00140.00240.00340.00440.00540.0064
56
57
58
59
60
3.562 3.135 2.943 2.816 2.719 2.641 2.576
3.558 3.132 2.941 2.814 2.7172.640 2.574
3.554 3.130 2.939 2.8122.716 2.638 2.572
3.550 3.127 2.937 2.810 2.714 2.636 2.571
3.547 3.125 2.935 2.8082.712 2.635 2.569
3.544 3.122 2.933 2.806 2.711 2.633 2.568
3.540 3.120 2.931 2.805 2.709 2.632 2.567
Provide your answer below
, p-value -
Transcribed Image Text:Kurtis is a statistician who claims that the average salary of an employee in the city of Yarmouth is no more than $55,000 per year. Gina, his colleague, believes this to be incorrect, so she randomly selects 61 employees who work in Yarmouth and record their annual salary. Gina calculates the sample mean income to be $56,500 per year with a sample standard deviation of 3,750. Using the alternative hypothesis H1 : 55.0 appropriate hypothesis test. Round the test statistic to two decimal places and the p-value to three decimal places. Right-Tailed T-Table probability Degrees of Freedom 54 0.00040.00140.00240.00340.00440.00540.0064 56 57 58 59 60 3.562 3.135 2.943 2.816 2.719 2.641 2.576 3.558 3.132 2.941 2.814 2.7172.640 2.574 3.554 3.130 2.939 2.8122.716 2.638 2.572 3.550 3.127 2.937 2.810 2.714 2.636 2.571 3.547 3.125 2.935 2.8082.712 2.635 2.569 3.544 3.122 2.933 2.806 2.711 2.633 2.568 3.540 3.120 2.931 2.805 2.709 2.632 2.567 Provide your answer below , p-value -
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