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  3. consider the following hypothesis test. h0: ? ? 12

Consider the following hypothesis test. H0: ? ? 12 Ha: ? > 12 A sample of 25 provided...

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Question

Basic Math

Consider the following hypothesis test.

H0: ? ? 12

Ha: ? > 12

A sample of 25 provided a sample mean

x = 14

and a sample standard deviation

s = 4.37.

(a)

Compute the value of the test statistic. (Round your answer tothree decimal places.)

(b)

Use the t distribution table to compute a range for thep-value.

p-value > 0.200

0.100 < p-value <0.200    

0.050 < p-value < 0.100

0.025 < p-value < 0.050

0.010 < p-value < 0.025

p-value < 0.010

(c)

At

? = 0.05,

what is your conclusion?

Reject H0. There is sufficient evidence toconclude that ? > 12.

Do not reject H0. There is sufficientevidence to conclude that ? > 12.    

Do not reject H0. There is insufficientevidence to conclude that ? > 12.

Reject H0. There is insufficient evidence toconclude that ? > 12.

(d)

What is the rejection rule using the critical value? (If thetest is one-tailed, enter NONE for the unused tail. Round youranswer to three decimal places.)

test statistic?

test statistic?

What is your conclusion?

Reject H0. There is sufficient evidence toconclude that ? > 12.

Do not reject H0. There is sufficientevidence to conclude that ? > 12.    

Do not reject H0. There is insufficientevidence to conclude that ? > 12.

Reject H0. There is insufficient evidence toconclude that ? > 12.

Answer & Explanation Solved by verified expert
4.3 Ratings (830 Votes)
Solution Given thatPopulation mean 12Sample mean 14Sample standard deviation s 437Sample size n 25Level of significance    See Answer
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