STATISTICS FOR ENGR.+SCI-W/ACCESS
4th Edition
ISBN: 9781260036107
Author: Navidi
Publisher: MCG
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Chapter 1.3, Problem 14E
Following are boxplots comparing the amount of econozole nitrate (in µg/cm2) absorbed into skin for a brand name and a generic antifungal ointment (from the article "Improved Bioequivalence Assessment of Topical Dermatological Drug Products Using Dermatopharmacokinetics.” B. N’Dri-Stempfer, W. Navidi, R. Guy, and A. Bunge, Pharmaceutical Research, 2009:316–328).
True or false:
- a. The median amount absorbed for the brand name drug is greater than the 25th percentile of the amount absorbed for the generic drug.
- b. The median amount absorbed for the brand name drug is greater than the median amount absorbed for the generic drug.
- c. About half the sample values for the brand name drug are between 2 and 3.
- d. There is a greater proportion of values outside the box for the brand name drug than for the generic drug.
- e. Both samples are skewed to the right.
- f. Both samples contain outliers.
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A paper gave summary quantities for blood lead level (in micrograms per deciliter) for a sample of whites and a sample of African Americans. Data consistent with the given summary quantities is given below.
Whites (W)
8.3
0.9
2.9
5.6
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1.2
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1.4
2.1
1.3
5.3
8.4
6.6
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2.9
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6.7
3.6
African Americans (AA)
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6.1
2.9
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2.1
7.5
3.4
13.6
1.4
3.7
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14.8
3.9
(a)
Calculate the values of the mean and the median for blood lead level for the sample of African Americans.
mean
median
(b)
Which of the mean or the median is larger? What characteristic of the data set explains the relative values of the mean and the median?
The median is greater than the mean. This is explained by the fact that the distribution is positively skewed.
The mean is greater than the median. This is explained by the fact that the distribution is positively skewed.
The median is greater than the mean. This is explained by the fact that the…
Chapter 1 Solutions
STATISTICS FOR ENGR.+SCI-W/ACCESS
Ch. 1.1 - Each of the following processes involves sampling...Ch. 1.1 - If you wanted to estimate the mean height of all...Ch. 1.1 - True or false: a. A simple random sample is...Ch. 1.1 - A sample of 100 college students is selected from...Ch. 1.1 - A certain process for manufacturing integrated...Ch. 1.1 - Refer to Exercise 5. True or false: a. If the...Ch. 1.1 - To determine whether a sample should be treated as...Ch. 1.1 - A medical researcher wants to determine whether...Ch. 1.1 - A medical researcher wants to determine whether...Ch. 1.2 - True or false: For any list of numbers, half of...
Ch. 1.2 - Is the sample mean always the most frequently...Ch. 1.2 - Is the sample mean always equal to one of the...Ch. 1.2 - Is the sample median always equal to one of the...Ch. 1.2 - Find a sample size for which the median will...Ch. 1.2 - For a list of positive numbers, is it possible for...Ch. 1.2 - Is it possible for the standard deviation of a...Ch. 1.2 - In a certain company, every worker received a...Ch. 1.2 - In another company, every worker received a 5%...Ch. 1.2 - A sample of 100 adult women was taken, and each...Ch. 1.2 - In a sample of 20 men, the mean height was 178 cm....Ch. 1.2 - Each of 16 students measured the circumference of...Ch. 1.2 - Refer to Exercise 12. a. If the measurements for...Ch. 1.2 - There are 10 employees in a particular division of...Ch. 1.2 - Quartiles divide a sample into four nearly equal...Ch. 1.2 - In each of the following data sets, tell whether...Ch. 1.3 - The weather in Los Angeles is dry most of the...Ch. 1.3 - Forty-five specimens of a certain type of powder...Ch. 1.3 - Refer to Table 1.2 (in Section 1.2). Construct a...Ch. 1.3 - Following are measurements of soil concentrations...Ch. 1.3 - A certain reaction was run several times using...Ch. 1.3 - Sketch a histogram for which a. The mean is...Ch. 1.3 - The figure below is a histogram showing the...Ch. 1.3 - The histogram below presents the compressive...Ch. 1.3 - Refer to Table 1.4 (in Section 1.3). a. Using the...Ch. 1.3 - Refer to Table 1.5 (in Section 1.3). a. Using the...Ch. 1.3 - The following table presents the number of...Ch. 1.3 - Which of the following statistics cannot be...Ch. 1.3 - A sample of 100 resistors has an average...Ch. 1.3 - Following are boxplots comparing the amount of...Ch. 1.3 - Following are summary statistics for two data...Ch. 1.3 - Match each histogram to the box plot that...Ch. 1.3 - Prob. 17ECh. 1.3 - Match each scatterplot to the statement that best...Ch. 1.3 - Prob. 19ECh. 1 - A vendor converts the weights on the packages she...Ch. 1 - Refer to Exercise 1. The vendor begins using...Ch. 1 - The specification for the pull strength of a wire...Ch. 1 - A coin is tossed twice and comes up heads both...Ch. 1 - The smallest number on a list is changed from 12.9...Ch. 1 - There are 15 numbers on a list, and the smallest...Ch. 1 - There are 15 numbers on a list, and the mean is...Ch. 1 - The article The Selection of Yeast Strains for the...Ch. 1 - Concerning the data represented in the following...Ch. 1 - True or false: In any boxplot, a. The length of...Ch. 1 - For each of the following histograms, determine...Ch. 1 - In the article Occurrence and Distribution of...Ch. 1 - The article Vehicle-Arrival Characteristics at...Ch. 1 - The cumulative frequency and the cumulative...Ch. 1 - The article Hydrogeochemical Characteristics of...Ch. 1 - Water scarcity has traditionally been a major...Ch. 1 - Prob. 18SECh. 1 - The article The Ball-on-Three-Ball Test for...
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- A paper gave summary quantities for blood lead level (in micrograms per deciliter) for a sample of whites and a sample of African Americans. Data consistent with the given summary quantities is given below. Whites (W) 8.3 0.9 2.9 5.6 5.8 5.4 1.2 1.0 1.4 2.1 1.3 5.3 8.4 6.6 5.2 3.6 2.9 2.7 6.7 3.8 African Americans (AA) 4.8 1.4 0.9 10.8 2.4 0.6 5.0 5.4 6.1 2.9 5.0 2.1 7.5 3.4 13.4 1.4 3.9 3.3 14.8 4.1 (a) Calculate the values of the mean and the median for blood lead level for the sample of African Americans. meanmedian (b) Which of the mean or the median is larger? What characteristic of the data set explains the relative values of the mean and the median? The mean is greater than the median. This is explained by the fact that the distribution is positively skewed.The median is greater than the mean. This is explained by the fact that the distribution is positively skewed. The median is greater than the mean. This is explained by the fact that the…arrow_forwardTwo rival manufacturers of penlight batteries claimed that their product lasts longer than the other. Thirty samples of Brand A and thirty-four of Brand B were tested. The following are the lengths of lives of such batteries recorded in hours. Use . Brand A384142363941433536384239404344 354039374042443837414038424541 Brand B3840414339414043393840434439404142 3940454038424140363741424036384140 A teacher wants to find out if there is a significant difference in the academic performance of two groups of students. One group meets thrice a week while the other meets twice a week. Below are the final exam scores of the two groups. Use . 3x/wk8085747565668077759566557985 2x/wk669887848556592553456652arrow_forward. A professor at the University of Iowa was interested in evaluating whether domestic dispute calls were more dangerous to officers than other types of calls. Collecting information on call for service and whether the call resulted in officer injury. The data is displayed in the contingency table below. Type of Call Domestic Dispute Not a Domestic Dispute Officer Injury No 128 675 Yes 245 786 Using the information to complete Table 1 and answer the questions below. Table 1. Chi-square Category Observed Expected O – E (O – E)2 (O – E)2/E No, Domestic 128 163.31 -35.31 1246..796 7.64 No, Not Domestic 675 639.69 35.31 1246.796 1.95 Yes, Domestic 245 209.69 35.31 11506.85 5.951.52 Yes, Not Domestic 786 821.31 -35.31 1246.796 Using an alpha level of 0.05, are domestic calls more dangerous for officers than other types of calls? Compute…arrow_forward
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