Companies who design furniture for elementary school classrooms produce a variety of sizes for kids of different ages. suppose the heights of kindergarten children can be described by a normal model with a mean of 39.2 inches and standard deviation of 1.9 inches. in what height interval should the company expect to find the middle 70% of kindergartners?

The confidence interval of the height is

Further Explanation:

Given:

The mean height is

The standard deviation is

Explanation:

The empirical rule is used to check that the given data set is normally distributed.

Empirical rule is defined as follows,

Approximately data points will lie within the first standard deviation of the mean.

Approximately data points will lie within the two standard deviation of the mean.

Approximately data points will lie within the three standard deviation of the mean.

Here, represents the mean and represents the standard deviation.

confidence interval of the mean can be obtained by subtracting or adding one times the standard deviation from the mean,

The confidence interval of the height is

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Answer details:

Grade: College

Subject: Statistics

Chapter: Confidence Interval

Keywords: study, companies, design, furniture, elementary school, classrooms, variety, sizes, kids, different ages, height, kindergarten, children, normal model, 39.2 inches, middle , mean, repeating, indicated, normal distribution, percentile, percentage, proportion, empirical rule.