- Reviewing the EPS forecasting performance data for Analysts A and B, you want to investigate whether the larger average forecast errors of Analyst A are due to chance or to a higher underlying mean value for Analyst A. Assume that the forecast errors of both analysts are normally distributed and that the samples are independent. A. Formulate null and alternative hypotheses consistent with determining whether the population mean value of Analyst A's forecast errors (µ1) are larger than Analyst B's (µ2). B. Identify the test statistic for conducting a test of the null hypothesis formulated in Part A. C. Identify the rejection point or points for the hypothesis tested in Part A, at the 0.05 level of significance.

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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- Reviewing the EPS forecasting performance data for Analysts A and B, you want to
investigate whether the larger average forecast errors of Analyst A are due to chance or to
a higher underlying mean value for Analyst A. Assume that the forecast errors of both
analysts are normally distributed and that the samples are independent.
A. Formulate null and alternative hypotheses consistent with determining whether the
population mean value of Analyst A's forecast errors (µ1) are larger than Analyst B's ().
B. Identify the test statistic for conducting a test of the null hypothesis formulated in
Part A.
C. Identify the rejection point or points for the hypothesis tested in Part A, at the 0.05
level of significance.
D. Determine whether or not to reject the null hypothesis at the 0.05 level of
significance.
Transcribed Image Text:- Reviewing the EPS forecasting performance data for Analysts A and B, you want to investigate whether the larger average forecast errors of Analyst A are due to chance or to a higher underlying mean value for Analyst A. Assume that the forecast errors of both analysts are normally distributed and that the samples are independent. A. Formulate null and alternative hypotheses consistent with determining whether the population mean value of Analyst A's forecast errors (µ1) are larger than Analyst B's (). B. Identify the test statistic for conducting a test of the null hypothesis formulated in Part A. C. Identify the rejection point or points for the hypothesis tested in Part A, at the 0.05 level of significance. D. Determine whether or not to reject the null hypothesis at the 0.05 level of significance.
The following information relates to Questions 6–7
Performance in Forecasting Quarterly Earnings per Share
Number of
Mean Forecast Error
Standard Deviations
Forecasts
(Predicted - Actual)
of Forecast Errors
Analyst A
101
0.05
0.10
Analyst B
121
0.02
0.09
Transcribed Image Text:The following information relates to Questions 6–7 Performance in Forecasting Quarterly Earnings per Share Number of Mean Forecast Error Standard Deviations Forecasts (Predicted - Actual) of Forecast Errors Analyst A 101 0.05 0.10 Analyst B 121 0.02 0.09
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