Given the following hypotheses: H0: μ = 550H1: μ ≠ 550A random sample of 11 observations is selected from a normal population. The sample mean was 556 and the sample standard deviation 7. Using the 0.01 significance level:a) State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)Reject H0 when the test statistic is _____________ the interval (_____, _____)b) Compute the value of the test statistic. (Round your answer to 3 decimal places.)Value of the test statistic _______________

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Asked Nov 18, 2019
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Given the following hypotheses:

 

H0: μ = 550

H1: μ ≠ 550

A random sample of 11 observations is selected from a normal population. The sample mean was 556 and the sample standard deviation 7. Using the 0.01 significance level:

a) State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)

Reject H0 when the test statistic is _____________ the interval (_____, _____)

b) Compute the value of the test statistic. (Round your answer to 3 decimal places.)

Value of the test statistic _______________

 

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Expert Answer

Step 1

The provided information is:

Sample size(n) 11
Sample mean ()556
Sample standard deviation (s) 7
Level of significance(a)=0.01
Hypothesized mean(4)= 550
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Sample size(n) 11 Sample mean ()556 Sample standard deviation (s) 7 Level of significance(a)=0.01 Hypothesized mean(4)= 550

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Step 2

a)

 

Decision r...

If the value of t-statistic is less than -
then
or greater than t,
reject the null hypothesis.
The critical values of t are:
tE-t
=2-1=10
E(-2.764,2.764)
Reject the null hypothesis when the test does not lie in the interval -2.764
to 2.764
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Image Transcriptionclose

If the value of t-statistic is less than - then or greater than t, reject the null hypothesis. The critical values of t are: tE-t =2-1=10 E(-2.764,2.764) Reject the null hypothesis when the test does not lie in the interval -2.764 to 2.764

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