Mathematical Statistics with Applications
Mathematical Statistics with Applications
7th Edition
ISBN: 9780495110811
Author: Dennis Wackerly, William Mendenhall, Richard L. Scheaffer
Publisher: Cengage Learning
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Chapter 13, Problem 92SE

a.

To determine

Find an unbiased estimate of σε2.

b.

To determine

Find an unbiased estimate of σβ2.

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A pharmaceutical company has developed a drug that is expected to reduce hunger.  To test the drug, three samples of rats are selected with n=9n=9 in each sample.  The first sample receives the drug every day.  The second sample is given the drug once a week, and the third sample receives no drug at all (the control group).  The dependent variables is the amount of food eaten by each rat over a 1-month period.  These data are analyzed by an ANOVA, and the results are reported in the following summary table.  Fill in all missing values in the table.  (Hint:  Start with the df column.)   S.S. d.f. M.S. F Between       4.07 Within     2.71 TOTAL     Use the =FDIST() function in Excel to locate the p-value for this ANOVA:p-value = Report answer accurate to at least 4 decimal places.
A pharmaceutical company has developed a drug that is expected to reduce hunger.  To test the drug, three samples of rats are selected with n=8n=8 in each sample.  The first sample receives the drug every day.  The second sample is given the drug once a week, and the third sample receives no drug at all (the control group).  The dependent variables is the amount of food eaten by each rat over a 1-month period.  These data are analyzed by an ANOVA, and the results are reported in the following summary table.  Fill in all missing values in the table.  (Hint:  Start with the df column.)   S.S. d.f. M.S. F Between       4.53 Within     4.18 TOTAL     Use the =FDIST() function in Excel to locate the p-value for this ANOVA:p-value = Report answer accurate to at least 4 decimal places.If you use a significance level of α=.05α=.05, what would you conclude about these treatments? These data do not provide evidence of a difference between the treatments There is a significant…
A random sample of senior citizens living in a retirement village reported that they had an average of 1.42 face-to-face interactions per day with their neighbors. A random sample of those living in age-integrated communities reported 1.58 interactions per day. Is the difference between the two senior citizen groups significant? Please provide t critical, t obtained and your decision. Retirement Community 1 Retirement Community 2 Mean1 = 1.42 Mean2 = 1.58 s1 = 0.10 s2 = 0.78 N1 = 43 N2 = 37

Chapter 13 Solutions

Mathematical Statistics with Applications

Ch. 13.4 - It is believed that women in the postmenopausal...Ch. 13.4 - If vegetables intended for human consumption...Ch. 13.4 - One portion of the research described in a paper...Ch. 13.4 - The Florida Game and Fish Commission desires to...Ch. 13.4 - Prob. 15ECh. 13.4 - An experiment was conducted to examine the effect...Ch. 13.5 - Prob. 17ECh. 13.5 - Refer to Exercise 13.17 and consider YiYi for i ...Ch. 13.5 - Refer to the statistical model for the one-way...Ch. 13.7 - Refer to Examples 13.2 and 13.3. a Use the portion...Ch. 13.7 - Refer to Examples 13.2 and 13.4. a Use the portion...Ch. 13.7 - a Based on your answers to Exercises 13.20 and...Ch. 13.7 - Refer to Exercise 13.7. a Construct a 95%...Ch. 13.7 - Prob. 24ECh. 13.7 - Prob. 25ECh. 13.7 - Prob. 26ECh. 13.7 - Prob. 27ECh. 13.7 - Prob. 28ECh. 13.7 - Prob. 29ECh. 13.7 - Prob. 30ECh. 13.7 - Prob. 31ECh. 13.7 - Prob. 32ECh. 13.7 - Prob. 33ECh. 13.7 - Prob. 34ECh. 13.7 - Prob. 35ECh. 13.8 - Prob. 36ECh. 13.8 - Prob. 37ECh. 13.8 - Prob. 38ECh. 13.8 - Prob. 39ECh. 13.8 - Prob. 40ECh. 13.9 - Prob. 41ECh. 13.9 - The accompanying table presents data on yields...Ch. 13.9 - Refer to Exercise 13.42. Why was a randomized...Ch. 13.9 - Prob. 44ECh. 13.9 - Prob. 45ECh. 13.9 - Prob. 46ECh. 13.9 - Prob. 47ECh. 13.9 - Prob. 48ECh. 13.9 - Prob. 49ECh. 13.9 - Prob. 50ECh. 13.9 - Prob. 51ECh. 13.10 - Prob. 52ECh. 13.10 - Prob. 53ECh. 13.10 - Prob. 54ECh. 13.10 - Refer to Exercise 13.46. Construct a 95%...Ch. 13.10 - Prob. 56ECh. 13.10 - Prob. 57ECh. 13.11 - Prob. 58ECh. 13.11 - Prob. 59ECh. 13.11 - Prob. 60ECh. 13.11 - Prob. 61ECh. 13.11 - Prob. 62ECh. 13.12 - Prob. 63ECh. 13.12 - Prob. 64ECh. 13.12 - Prob. 65ECh. 13.12 - Prob. 66ECh. 13.12 - Prob. 67ECh. 13.12 - Prob. 68ECh. 13.13 - Prob. 69ECh. 13.13 - Prob. 70ECh. 13.13 - Refer to Exercise 13.42. Answer part (a) by...Ch. 13.13 - Refer to Exercise 13.45. Answer part (b) by...Ch. 13 - Prob. 73SECh. 13 - Prob. 74SECh. 13 - Prob. 75SECh. 13 - Prob. 77SECh. 13 - A study was initiated to investigate the effect of...Ch. 13 - Prob. 79SECh. 13 - A dealer has in stock three cars (models A, B, and...Ch. 13 - In the hope of attracting more riders, a city...Ch. 13 - Prob. 84SECh. 13 - Prob. 85SECh. 13 - Prob. 86SECh. 13 - Prob. 87SECh. 13 - Prob. 88SECh. 13 - Prob. 89SECh. 13 - Prob. 90SECh. 13 - Prob. 92SECh. 13 - Prob. 94SE
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