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Chapter 8: Q102S (page 452)
Find the numerical value of
a.6! b.c. d.e.0!
The results for the given numerical values are as follows:
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Is honey a cough remedy? Refer to the Archives of Pediatrics and Adolescent Medicine (December 2007) study of honey as a remedy for coughing, Exercise 2.31 (p. 86). Recall that the 105 ill children in the sample were randomly divided into groups. One group received a dosage of an over-the-counter cough medicine (DM); another group received a dosage of honey (H). The coughing improvement scores (as determined by the children鈥檚 parents) for the patients in the two groups are reproduced in the accompanying table. The pediatric researchers desire information on the variation in coughing improvement scores for each of the two groups.
a. Find a 90% confidence interval for the standard deviation in improvement scores for the honey dosage group.
b. Repeat part a for the DM dosage group.
c. Based on the results, parts a and b, what conclusions can the pediatric researchers draw about which group has the smaller variation in improvement scores? (We demonstrate a more statistically valid method for comparing variances in Chapter 8.)
Honey Dosage | 11 12 15 11 10 13 10 13 10 4 15 16 9 14 10 6 10 11 12 12 8 12 9 11 15 10 15 9 13 8 12 10 9 5 12 |
DM Dosage | 4 6 9 4 7 7 7 9 12 10 11 6 3 4 9 12 7 6 8 12 12 4 12 13 7 10 13 9 4 4 10 15 9 |
Sanitarium administration of malaria cases. One of the most sedate health challenges in India is malaria. Accordingly, the Indian sanitarium director's must-have鈥攖he coffers to treat the high volume of admitted malaria cases. A study published in the National Journal of Community Medicine (Vol. 1, 2010) delved into whether the malaria admission rate is more advanced in months than in others. In a sample of 192 sanitarium cases admitted in January, 32 were treated for malaria.
In an independent sample of 403 cases admitted in May (4 months latterly), 34 were treated for malaria.
a. Describe the two populations of stake in this study.
b. Give a point estimate of the contrast in the malaria admission rates in January and May.
c. Find a 90% confidence interval for the contrast in the malaria admission rates in January and May.
d. Based on the interval, part c, can you conclude that contrast exists in the authentic malaria admission rates in January and May? Simplify.
Given the following values of , , and , form a 90% confidence interval for
a.
b.
c.
d.
Independent random samples from two populations with standard deviations , respectively, are selected. The sample sizes and the sample means are recorded in the following table:
Sample 1 | Sample 2 |
a. Calculate the standard error of the sampling distribution for Sample 1.
b. Calculate the standard error of the sampling distribution for Sample 2.
c. Suppose you were to calculate the difference between the sample means . Find the mean and standard error of the sampling distribution .
d. Will the statistic be normally distributed?
Is honey a cough remedy? Refer to the Archives of Pediatrics and Adolescent Medicine (Dec. 2007) study of honey as a children鈥檚 cough remedy, Exercise 8.23 (p. 470). The data (cough improvement scores) for the 33 children in the DM dosage group and the 35 children in the honey dosage group are reproduced in the table below. In Exercise 8.23, you used a comparison of two means to determine whether 鈥渉oney may be a preferable treatment for the cough and sleep difficulty associated with childhood upper respiratory tract infection.鈥� The researchers also want to know if the variability in coughing improvement scores differs for the two groups. Conduct the appropriate analysis, using
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