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lidiya [134]
3 years ago
9

The national mean annual salary for a school administrator is $90,00 a year (The Cincinnati Enquirer, April 7, 2012). A school o

fficial took a sample of 25 school administrators in the state of Ohio to learn about the salaries in that state to see if they differed from the national average.
A) Formulate hypotheses that can be used to determine whether the population mean annual administrator salary in Ohio differs from the national mean of $90,000.

B) The sample data for 25 Ohio administrators is contained below. What is the p-value for your hypothesis test in part A?

C) At alpha = 0.05, can your null hypothesis be rejected? What is your conclusion?

D) Repeat the preceding hypothesis test using the critical value approach?

Salary Data


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
Mathematics
1 answer:
timofeeve [1]3 years ago
6 0

Answer:31) The Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United Sates was 423 eight-ounce servings. Suppose you are curious whether the consumption of Coca-Cola beverages is higher in Atlanta. A sample of 36 individuals from the Atlanta area showed a sample mean annual consumption of 460.4 eight ounce servings with a standard deviation of s=101.9 ounces. Using a=.05, do the sample results support the conclusion that mean annual consumption of Coca-Cola beverage products is higher in Atlanta

Step-by-step explanation:29) 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 to see if they differed from the national average.

a) Formulate hypotheses that can be used to determine whether the population mean annaual administrator salary in Ohio differs from the nation mean of $90,000.

b) The sample data for 25 Ohio administrators is contained in the file named Administrator. What is the p-value for you hypothesis test in part (a)?

c) A a=.05 can your null hypothesis be rejected? What is your conclusion?

d) Repeat the preceding hypothesis test using the critical value approach.

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Answer:

The ratio of the circumference to its diameter remains the same.

Step-by-step explanation:

Given,

diameter of circle = 6 inch

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New diameter of circle = 2 x 6 = 12 inch

We know that,

The Circumference of a circle is 2 π r or π d where r is the radius of the circle and d is the diameter of the circle.

Circumference of the circle when the diameter is 6 inches.

C₁ =   6π

Ratio of circumference to diameter

Ratio = \dfrac{6\pi}{6}

Ratio =  π

When the diameter is 12 inches

C₂ = 12 π

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Now, the correct statement is the ratio of the circumference to its diameter remains the same if the diameter is doubled.

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egoroff_w [7]
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Step-by-step explanation:

Constant of proportionality is simply the ratio of y to x. In each of the given tables, the second column is y and the first is x.

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Thus, since this matches the requirements and all three rows have the same constant, Table 1 is the answer.

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Hope this helps!

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3 years ago
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