The national mean annual salary for a school administrator is $90,000 a year. A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state to see if they differed from the national average.

Click on the datafile logo to reference the data.

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

(a)

Choose the hypotheses that can be used to determine whether the population mean annual administrator salary in Ohio differs from the national mean of $90,000.

H0:	- Select your answer -µ > 90,000µ = 90,000µ < 90,000µ ≠ 90,000Item 1
Ha:	- Select your answer -µ > 90,000µ = 90,000µ < 90,000µ ≠ 90,000Item 2

(b)

The sample data for 25 Ohio administrators is contained in the file named Administrator. What is the p value for your hypothesis test in part (a)? If required, round your answer to four decimal places. Do not round your intermediate calculations.

(c)

At α = 0.05, can your null hypothesis be rejected?

- Select your answer -YesNoItem 4

What is your conclusion?

There is - Select your answer -sufficientinsufficientItem 5 evidence to conclude that the national mean annual salary for a school administrator in the state of Ohio - Select your answer -is higher thanis lower thandiffers fromis equal toItem 6 the national average.