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The national mean annual salary for a school administrator is $90,000 a year (Th

ID: 3217043 • Letter: T

Question

The national mean annual salary for a school administrator is $90,000 a year (The Cincinnati Enquirer, April 7, 2012). A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state and to see if they differed from the national average. Click on the webfile logo to reference the data.

A. The sample data for 25 Ohio administrators is contained in the WEBfile named Administrator. What is the p-value for your hypothesis test in part (a)? Round your answer to four decimal places.

Salary

77600

76000

90700

97200

90700

101800

78700

81300

84200

97600

77500

75700

89400

84300

78700

84600

87700

103400

83800

101300

94700

69200

95400

61500

68800

Salary

77600

76000

90700

97200

90700

101800

78700

81300

84200

97600

77500

75700

89400

84300

78700

84600

87700

103400

83800

101300

94700

69200

95400

61500

68800

Explanation / Answer

The statistical software output for this problem is:

One sample T hypothesis test:
: Mean of variable
H0 : = 90000
HA : 90000

Hypothesis test results:

So,

p - Value = 0.0426

Variable Sample Mean Std. Err. DF T-Stat P-value Salary 85272 2207.846 24 -2.1414537 0.0426