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1) Using table G, find the values for CHI-square left and right if alpha = 0.01 and n = 23. 2) Find the 90% confidence interval for the variance and standard deviation if a sample of 15 has a standard...

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1) Using table G, find the values for CHI-square left and right if alpha = 0.01 and n = 23.
2) Find the 90% confidence interval for the variance and standard deviation if a sample of 15 has a standard deviation of 2.3. Assume the variable is normally distributed.
3) Find the 95% confidence interval for the variance and standard deviation of the ounces of Mike’s hard cider that a machine dispenses in 12 ounce cups. Assume the variable is normally distributed. The raw data are: 12.3, 12.1, 12.2, 11.8, 12.0, 12.5, 11.7, and 11.9.
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Stat Assignment 6A XXXXXXXXXXUsing table G, find the values for CHI-square left and right if alpha = 0.01 and n = 23. XXXXXXXXXXFind the 90% confidence interval for the variance and standard deviation if a sample of 15 has a standard deviation of 2.3. Assume the variable is normally distributed. XXXXXXXXXXFind the 95% confidence interval for the variance and standard deviation of the ounces of Mike’s hard cider that a machine dispenses in 12 ounce cups. Assume the variable is normally distributed. The raw data are: 12.3, 12.1, 12.2, 11.8, 12.0, 12.5, 11.7, and 11.9. Stat Assignment 6B XXXXXXXXXXThe average production of peanuts in W. Virginia is 3000 pounds per acre. A new plant food is test on 60 acres and the mean yield is 3120 pounds per acre for these plots with a standard deviation of 578 pounds. At Alpha = 0.05, can one conclude that the average production has increased with the new food? XXXXXXXXXXA researcher claims that the yearly consumption of soft drinks is 52 gallons per person. In a sample of 50 randomly selected folks who drink soft drinks, the mean was 56.3 gallons and the standard deviation was 3.5 gallons. At Alpha = .01, is the researcher’s claim valid?

Answered Same Day Dec 31, 2021

Solution

David answered on Dec 31 2021
101 Votes
Stat Assignment 6A
1) Using table G, find the values for CHI-square left and right if alpha = 0.01 and n = 23.
A1) Value of chi square right =41.638
Value of chi square left=10.196
2) Find the 90% confidence interval for the variance and standard deviation if a sample of 15
has a standard deviation of 2.3. Assume the variable is normally distributed.
A2) The 90% confidence interval for variance is given by:
{
2
2
2
2 )1(
,
)1(

SnSn 
}
From the data given to us, n=15 S^2=5.29
Thus the CI is { (14*5.29)/23.685),(14*5.29)/6.571}
Thus the CI={3.1269,11.27142}
Confidence interval for standard deviation: {1.7683, 3.3572}
3) Find the 95% confidence interval for the variance and standard deviation of the ounces of
Mike’s hard cider that a...
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