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A math class is given a difficult test and they score poorly on the test. The...

  1. A math class is given a difficult test and they score poorly on the test. The instructor asks each individual student approximately how many minutes they studied for the test to see if there is some correlation between how long they studied and their test score. Here is the data for seven students:

Student

1

2

3

4

5

6

7

Minutes studied

60

85

78

90

93

45

51

Test score

78

42

68

53

62

50

76

Use a Spearman rank correlation test to determine if there is significant correlation between these two variables.

  1. State the null and alternative hypotheses.
  2. Compute the sample test statistic.
  3. Find the p-value.
  4. State the conclusion at the .05 level of significance.
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