The principal randomly selected six students to take an aptitude test. Their scores were 79 88 83 80 72 78 Assume that the population is normally distributed. a. Check assumptions and choose an appropriate interval procedure. b. Use the TI function 1-var-stats to find the sample mean and the sample standard deviation. c. Find a 90% confidence interval for the mean score for all students by using the formula. d. Interpret the confidence interval.

The principal randomly selected six students to take an aptitude test. Their scores were 79 88 83 80 72 78 Assume that the population is normally distributed. a. Check assumptions and choose an appropriate interval procedure. b. Use the TI function 1-var-stats to find the sample mean and the sample standard deviation. c. Find a 90% confidence interval for the mean score for all students by using the formula. d. Interpret the confidence interval.

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

The principal randomly selected six students to take an aptitude test. Their scores were
79 88 83 80 72 78
Assume that the population is normally distributed.
a. Check assumptions and choose an appropriate interval procedure.
b. Use the TI function 1-var-stats to find the sample mean and the sample standard deviation.
c. Find a 90% confidence interval for the mean score for all students by using the formula.
d. Interpret the confidence interval.

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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