Let x = age in years of a rural Quebec woman at the time of her first marriage.

Q: Let x = age in years of a rural Quebec woman at the time of her first marriage.

The statistical software output for this problem is: One sample variance summary confidence interval: 2 : Variance of population 90% confidence interval results: Hence, Lower limit = 1.72 Upper limit = 3.62 Variance Sample Var. DF L. Limit U. Limit 2 2.4 40 1.7217112 3.6213702

ID: 3357152 • Letter: L

Question

Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941, the population variance of x was approximately 2 = 5.1. Suppose a recent study of age at first marriage for a random sample of 41 women in rural Quebec gave a sample variance s2 = 2.4. Use a 5% level of significance to test the claim that the current variance is less than 5.1. Find a 90% confidence interval for the population variance.

Find the requested confidence interval for the population variance. (Round your answers to two decimal places.)

lower limit upper limit

Explanation / Answer

The statistical software output for this problem is:

One sample variance summary confidence interval:
2 : Variance of population

90% confidence interval results:

Hence,

Lower limit = 1.72

Upper limit = 3.62

Variance Sample Var. DF L. Limit U. Limit 2 2.4 40 1.7217112 3.6213702

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Let x = age in years of a rural Quebec woman at the time of her first marriage.

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