1. At Abraham Lincoln High School an achievement test is used for college placement. Counselors selected a simple random sample of 15 students from the school and scored their tests by hand before sending them in for computer processing. For this sample, ?̅ =525 and ?=24. Assuming that the test scores are normally distributed, construct a 99% confidence interval for μ, the population mean score for Abraham Lincoln High School. a) Are the criteria for approximate normality satisfied? Explain. b) Determine the sample mean, sample standard deviation, and sample size. c) Determine the critical value that corresponds to the 99% level of confidence.

1. At Abraham Lincoln High School an achievement test is used for college placement. Counselors selected a simple random sample of 15 students from the school and scored their tests by hand before sending them in for computer processing. For this sample, ?̅ =525 and ?=24. Assuming that the test scores are normally distributed, construct a 99% confidence interval for μ, the population mean score for Abraham Lincoln High School. a) Are the criteria for approximate normality satisfied? Explain. b) Determine the sample mean, sample standard deviation, and sample size. c) Determine the critical value that corresponds to the 99% level of confidence.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

1. At Abraham Lincoln High School an achievement test is used for college placement. Counselors
selected a simple random sample of 15 students from the school and scored their tests by hand
before sending them in for computer processing. For this sample, ?̅ =525 and ?=24.
Assuming that the test scores are normally distributed, construct a 99% confidence interval for
μ, the population mean score for Abraham Lincoln High School.

a) Are the criteria for approximate normality satisfied? Explain.

b) Determine the sample mean, sample standard deviation, and sample size.

c) Determine the critical value that corresponds to the 99% level of confidence.

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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