Question

You are conducting a study to see if the mean doctor's salary (in thousands of dollars) is significantly more than 89. A random sample of 25 doctors' salary in thousands of dollars is shown below. Test the claim using a 10% level of significance. Give answer to at least 4 decimal places.

Salary

101.92

98.09

83.69

91.38

85.25

101.42

95.04

92.04

88.78

87.62

91.69

95.96

85.73

85.03

98.07

92.53

92.25

94.99

87.8

79.93

86.72

83.56

86.01

89.64

88.14

What are the correct hypotheses?

H₀:

thousand dollars

H₁:

thousand dollars

Based on the hypotheses, find the following:

Test Statistic =

Critical-value =

Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The arrows can only be dragged to t-scores that are accurate to 1 place after the decimal point (these values correspond to the tick marks on the horizontal axis). Select from the drop down menu to shade to the left, to the right, between or left and right of the t-score(s).

Shade:

. Click and drag the arrows to adjust the values.

-1.5

The correct decision is to

The correct summary would be:

that the population mean doctor's salary (in thousands of dollars) is significantly more than 89.

Answer 1

The statistical software output for this problem is:

Hence,

Ho: = 89

H1: > 89

Test statistic = 1.3322

Critical value = 1.3178

Decision: Reject Ho

Summary: There is sufficient evidence to support the claim that the population mean doctor's salary (in thousands of dollars) is significantly more than 89.