In the course of designing theater seats, the sitting heights (in mm) of a simple random sample of 12 adult women is obtained. The sample mean is 834 mm and sample standard deviation is 34.98 mm.a. Assuming that sample is obtained from a population with a normal distribution, construct a 95% confidence interval estimate for ?, the population standard deviation of sitting height of adult women.b. Does the confidence interval contain 35 mm, which is believed to be the standard deviation of sitting heights of women? In the course of designing theater seats, the sitting heights (in mm) of a simplerandom sample of 12 adult women is obtained. The sample mean is 834 mm andsample standard deviation is 34.98 mm.a. Assuming that sample is obtained from a population with a normaldistribution, construct a 95% confidence interval estimate for o, the populationstandard deviation of sitting height of adult women.b. Does the confidence interval contain 35 mm, which is believed to be thestandard deviation of sitting heights of women?

Given information: Total number of adult women(n) is 12. Meanx¯ of height of 12 women is 834 mm.…

Answered: In the course of designing theater…

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In the course of designing theater seats, the sitting heights (in mm) of a simple random sample of 12 adult women is obtained. The sample mean is 834 mm and sample standard deviation is 34.98 mm.

a. Assuming that sample is obtained from a population with a normal distribution, construct a 95% confidence interval estimate for ?, the population standard deviation of sitting height of adult women.

b. Does the confidence interval contain 35 mm, which is believed to be the standard deviation of sitting heights of women?

In the course of designing theater seats, the sitting heights (in mm) of a simple
random sample of 12 adult women is obtained. The sample mean is 834 mm and
sample standard deviation is 34.98 mm.
a. Assuming that sample is obtained from a population with a normal
distribution, construct a 95% confidence interval estimate for o, the population
standard deviation of sitting height of adult women.
b. Does the confidence interval contain 35 mm, which is believed to be the
standard deviation of sitting heights of women?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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