Mathematical Statistics and Data Analysis
Mathematical Statistics and Data Analysis
3rd Edition
ISBN: 9781111793715
Author: John A. Rice
Publisher: Cengage Learning
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Chapter 1.8, Problem 59P

a.

To determine

Find the probability that the coin chosen is the two-headed coin.

b.

To determine

Find the probability that if it is thrown another time it will come up heads.

c.

To determine

Find the probability that the coin is thrown a second time and comes up heads again.

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Consider the following hypothesis test. The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n 1 = 80 n 2 = 70 x 1 = 104 x 2 = 106 σ 1 = 8.4 σ 2 = 7.6 What is the value of the test statistic? If required enter negative values as negative numbers (to 2 decimals). What is the p-value (to 4 decimals)? Use z-table. With  = .05, what is your hypothesis testing conclusion?
Periodically, Merrill Lynch customers are asked to evaluate Merrill Lynch financial consultants and services (2000 Merrill Lynch Client Satisfaction Survey). Higher ratings on the client satisfaction survey indicate better service with 7 the maximum service rating. Independent samples of service ratings for two financial consultants are summarized here. Consultant A has 10 years of experience, whereas consultant B has 1 year of experience. Use  = .05 and test to see whether the consultant with more experience has the higher population mean service rating.   Consultant A   Consultant B   = 16     = 10   = 6.82     = 6.25   = .64     = .75   State the null and alternative hypotheses.H0:  1 -  2 Ha:  1 -  2  Compute the value of the test statistic (to 2 decimals). What is the p-value?The p-value is  What is your conclusion?
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