A random sample of 25 observations is selected from a normally distributed population.The sample variance is 10.In the 95% confidence interval for the population variance,the upper limit is:

A) 19.353
B) 17.331
C) 17.110
D) 6.097

Question

sleet zappy · Accepted Answer

Final Answer : A, Explanation :  The upper limit of the 95% confidence interval for the population variance is calculated using the chi-square distribution. For a sample size of 25, the degrees of freedom is 24. The upper critical value for chi-square at 0.025 significance level (for a two-tailed test) is approximately 39.364. The formula for the upper limit is (n-1)s^2/χ²(α/2), which gives (24*10)/39.364 = 19.353.

A random sample of 25 observations is selected from a normally distributed population.The sample variance is 10.In the 95% confidence interval for the population variance,the upper limit is:

A) 19.353
B) 17.331
C) 17.110
D) 6.097

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A random sample of 25 observations is selected from a normally distributed population.The sample variance is 10.In the 95% confidence interval for the population variance,the upper limit is:A) 19.353B) 17.331C) 17.110D) 6.097

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Related questions

A random sample of 25 observations is selected from a normally distributed population.The sample variance is 10.In the 95% confidence interval for the population variance,the upper limit is:

A) 19.353
B) 17.331
C) 17.110
D) 6.097