Guinea pig survival times Here are the survival times in days of 72guinea pigs after they were injected with infectious bacteria in a medical experiment.52 Survival times, whether of machines under stress or cancer patients after treatment, usually have distributions that are skewed to the right.

(a) Make a histogram of the data and describe its main features. Does it show the expected right-skew?

(b) Now make a boxplot of the data. Be sure to check for outliers.

Short Answer

Expert verified

Part (a) A histogram will convey a rough sense of the Skewness or shape, but two numerical measures of shape will provide precise data.

Part (b) (329380403511522548) are outliner.

Step by step solution

01

Part (a) Step 1: Given information

The table is

434553565657586667737479
808081818182838384888991
919292979999100100101102102102
103104107108109113114118121123126128
137138139144145147156162174178179184
191198211214243249329380403511522598
02

Part (a) Step 2: Concept

A histogram is a graphing tool that is often used. It's used to summarise data that's either discrete or continuous and measured on an interval scale. It's commonly used to demonstrate the key aspects of data distribution in a user-friendly manner.

03

Part (a) Step 3: Explanation

The graph is

The histogram is built from the above data, and it is also seen from the above histogram that the given set of data is favorably or right side skewed, implying that the median is the measure of central tendency. A histogram will convey a rough sense of the Skewness or shape, but two numerical measures of shape will provide precise data.

04

Part (b) Step 1: Calculation

The graph is

From the above box plot, it is observed that,

1. The minimum: 43

2. Q1:82.5

3. The median: 102.5

4. Q3:151.5

5. The maximum: 598

Outliners:

82.51.5(69)=21151.5+1.5(69)=255

(329380403511522548) are outliners.

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Most popular questions from this chapter

The National Survey of Adolescent Health interviewed several thousand teens (grades 7to 12). One question asked was “What do you think are the chances you will be married in the next ten years?” Here is a two-way table of the responses by gender:

What percent of females thought that they were almost certain to be married in the next ten years?

(a) About 16% (c) About 40% (e) About 61%

(b) About 24% (d) About 45%

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The missing number is (a)76.(b)88.(c)90.(d)92.(e)96.

The figure displays computer output from Data Desk for data on the amount spent by 50 grocery shoppers.

(a) What would you guess is the shape of the distribution based only on the computer output? Explain.

(b) Interpret the value of the standard deviation.

(c) Are there any outliers? Justify your answer.

The National Survey of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was "What do you think are the chances you will be married in the next ten years?" Here is a two-way table of the responses by gender: Your percent from the previous exercise is part of-

(a) the marginal distribution of gender.

(b) the marginal distribution of opinion about marriage.

(c) the conditional distribution of gender among adolescents with a given opinion.

(d) the conditional distribution of opinion among adolescents of a given gender.

(e) the conditional distribution of “Almost certain” among females.

A study among the Pima Indians of Arizona investigated the relationship between a mother’s diabetic status and the appearance of birth defects in her children. The results appear in the two-way table below.

(a) Fill in the row and column totals in the margins of the table. (b) Compute (in percents) the conditional distributions of birth defects for each diabetic status. (c) Display the conditional distributions in a graph. Don’t forget to label your graph completely. (d) Comment on any clear associations you see.

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