A researcher in interested in whether people can identify emotions correctly when they are extremely tired. It is known that, using a particular method of measurement, accuracy ratings of people in the general population (who are not extremely tired) are normally distributed with a mean of 82 and a variance of 20. In the present study, however, the researcher arranged to test 50 people who had no sleep the previous night and predicted they would be less accurate at identifying emotions correctly. The mean accuracy for these 50 individuals was 78. Using an alpha of 0.05, what should the researcher conclude?

A researcher in interested in whether people can identify emotions correctly when they are extremely tired. It is known that, using a particular method of measurement, accuracy ratings of people in the general population (who are not extremely tired) are normally distributed with a mean of 82 and a variance of 20. In the present study, however, the researcher arranged to test 50 people who had no sleep the previous night and predicted they would be less accurate at identifying emotions correctly. The mean accuracy for these 50 individuals was 78. Using an alpha of 0.05, what should the researcher conclude?

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 24PFA

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Question

QUESTION #4 (12 marks) A researcher in interested in whether people can identify emotions correctly when they are extremely tired. It is known that, using a particular method of measurement, accuracy ratings of people in the general population (who are not extremely tired) are normally distributed with a mean of 82 and a variance of 20. In the present study, however, the researcher arranged to test 50 people who had no sleep the previous night and predicted they would be less accurate at identifying emotions correctly. The mean accuracy for these 50 individuals was 78. Using an alpha of 0.05, what should the researcher conclude?

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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