Question

In: Statistics and Probability

For the following use the Spearman rank correlation coefficient to test the claim. The overall scores...

For the following use the Spearman rank correlation coefficient to test the claim. The overall scores and the prices for 10 randomly selected computers. The score is based on overall quality of the computer. At a .05 sig. can you conclude there is a correlation between price and score? Utilize excel to show your work.

Score

91

94

99

89

86

81

72

85

94

98

86

Price (in dollars)

1250

1500

1495

1150

1195

1685

989

1175

1350

1425

1300

a.Identify and state the null and alternate hypothesis,

b. find the test statistic

c. decide whether to reject the null hypothesis

d. form an analysis of your findings.

Solutions

Expert Solution

a. H0: there is no correlation between score and price vs H1: not H0

b.to test the above-mentioned hypotheses, we use the test statistic

   follows distribution under H0.

here observed t=1.685

c)critical value of t=

=2.22

Hence |observed t|=1.685<2.22

hence we do not reject null hypothesis.

d)Hence price does not depend on quality based score of the computer.


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