Question

8. A simple random sample of 28 Lego sets is obtained and the number of pieces...

8. A simple random sample of 28 Lego sets is obtained and the number of pieces in each set was counted.The sample has a standard deviation of 12.65. Use a 0.05 significance level to test the claim that the number of pieces in a set has a standard deviation different from 11.53. (For full credit need to draw the curve and shade the area)

H0 :

H1 :

Test Stat:

Conclusion:

Math   Statistics-And-Probability   
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Answer #1

Sample Size (n) = 28
Standard Deviation \sigma_0 = 11.53
Sample standard deviation (S) = 12.65


We are interested in testing the hypothesis

Now, the value of test static can be found out by following formula:


Conclusion: Since the test statistic value 32.5002 is between 14.573382730821713 and 43.19451096615604,
so, we fail to reject the null hypothesis.

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