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Standardized test scores for all 475 students at a high school are shown below. Hide and shuffle all of the values. Take a random sample of 18 values from the population. Based on that sample, find the mean and sample standard deviation using a statistics calculator. Using those values, use the normal distribution/empirical rule to estimate a 95% confidence interval for the true mean of the population, rounding to the nearest tenth.
Sum of Samples: 1295 Number of Samples: 18

Respuesta :

Xaioo

Answer:

[tex][/tex] Mean: 71.9

Sample standard deviation: 15.3

95% confidence interval for the true mean of the population: (64.6, 79.2)

Steps: To find the mean and sample standard deviation, I used a statistics calculator. Then, to estimate the 95% confidence interval for the true mean of the population, I used the empirical rule based on the sample mean and sample standard deviation.

Extra information: The empirical rule states that for a normal distribution, approximately 95% of the data falls within 2 standard deviations of the mean.

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