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urtis is a statistician who claims that the average salary of an employee in the city of Yarmouth is no more than 55 000 er

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urtis is a statistician who claims that the average salary of an employee in the city of Yarmouth is no more than 55 000 er year Gina his colleague believes this to be incorrect so she randomly selects 61 employees who work in Yarmouth a ecord their annual salary Gina calculates the sample mean income to be 56 500 per year with a sample standard leviation of 3 750 Using the alternative hypothesis Ha 55 000 find the test statistic t and the p value for the 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 55 56 57 58 59 60 0 0004 0 0014 0 0024 0 0034 0 0044 0 0054 0 0064 3 562 3 135 2 943 2 816 2 719 2 641 2 576 3 558 3 132 2 941 2 814 2 717 2 640 2 574 3 554 3 130 2 939 2 812 2 716 2 638 2 572 3 550 3 127 2 937 2 810 2 714 2 636 2 571 3 547 3 125 2 935 2 808 2 712 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

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