Statistical Reasoning for Everyday Life (5th Edition)
5th Edition
ISBN: 9780134679259
Author: Bennett
Publisher: PEARSON
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Chapter 4.1, Problem 30E
To determine
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A normal distribution has a mean of 50 and a standard deviation of 4. Solve the following three parts?
1. Compute the probability of a value between 44.0 and 55.0.
(The question requires finding probability value between 44 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 44, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the answer of the second part.)
2. Compute the probability of a value greater than 55.0.
Use the same formula, x=55 and subtract the answer from 1.
3. Compute the probability of a value between 52.0 and 55.0.
(The question requires finding probability value between 52 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 52, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the…
If a uniform distribution is defined over the interval from 6 to 10, then answer the followings:
What is the mean of this uniform distribution?
Show that the probability of any value between 6 and 10 is equal to 1.0
Find the probability of a value more than 7.
Find the probability of a value between 7 and 9.
The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20 and $30 per share. What is the probability that the stock price will be:
More than $27?
Less than or equal to $24?
The April rainfall in Flagstaff, Arizona, follows a uniform distribution between 0.5 and 3.00 inches.
What is the mean amount of rainfall for the month?
What is the probability of less than an inch of rain for the month?
What is the probability of exactly 1.00 inch of rain?
What is the probability of more than 1.50 inches of rain for the month?
The best way to solve this problem is begin by a step by step creating a chart. Clearly mark the range, identifying the…
Client
1
Weight before
diet (pounds)
Weight after
diet (pounds)
128
120
2
131
123
3
140
141
4
178
170
5
121
118
6
136
136
7
118
121
8
136
127
Chapter 4 Solutions
Statistical Reasoning for Everyday Life (5th Edition)
Ch. 4.1 - Average. Define and distinguish among mean,...Ch. 4.1 - Outliers. What are outliers? Describe the effects...Ch. 4.1 - Average Confusion. Briefly describe at least two...Ch. 4.1 - Weighting. What is a weighted mean, and when is it...Ch. 4.1 - Does It Make Sense? For Exercises 59, determine...Ch. 4.1 - Does It Make Sense? For Exercises 59, determine...Ch. 4.1 - Mode. In an analysis of salaries paid to sales...Ch. 4.1 - Employment Data. A survey asked people their...Ch. 4.1 - Mean Wage. To find the mean wage of restaurant...Ch. 4.1 - Mean, Median, and Mode. In Exercises 1016, find...
Ch. 4.1 - Mean, Median, and Mode. In Exercises 1016, find...Ch. 4.1 - Mean, Median, and Mode. In Exercises 1016, find...Ch. 4.1 - Mean, Median, and Mode. In Exercises 1016, find...Ch. 4.1 - Mean, Median, and Mode. In Exercises 1016, find...Ch. 4.1 - Mean, Median, and Mode. In Exercises 1016, find...Ch. 4.1 - Mean, Median, and Mode. In Exercises 1016, find...Ch. 4.1 - Cell Phone Radiation. Listed below are...Ch. 4.1 - Alphabetic States. The states of Alabama, Alaska,...Ch. 4.1 - Outlier Coke. The contents of cans of regular...Ch. 4.1 - Raising Your Grade. Suppose you have scores of 80,...Ch. 4.1 - Raising Your Grade. Suppose you have scores of 60,...Ch. 4.1 - Comparing Data. In Exercises 2225, find the mean...Ch. 4.1 - Comparing Data. In Exercises 2225, find the mean...Ch. 4.1 - Comparing Data. In Exercises 2225, find the mean...Ch. 4.1 - Prob. 25ECh. 4.1 - Weighted Mean. Compute the weighte means in...Ch. 4.1 - Class Grade. Ryan is taking an advanced math class...Ch. 4.1 - GPA. One common system for computing a grade point...Ch. 4.1 - Prob. 29ECh. 4.1 - Prob. 30ECh. 4.1 - 31. Stockholder Voting. A small company has six...Ch. 4.1 - Weighted Mean. In Exercises 3235, find the mean of...Ch. 4.1 - Weighted Mean. In Exercises 3235, find the mean of...Ch. 4.1 - Weighted Mean. In Exercises 3235, find the mean of...Ch. 4.1 - Weighted Mean. In Exercises 3235, find the mean of...Ch. 4.1 - U.S. Population Center. Imagine taking a huge flat...Ch. 4.2 - Modes. Distinguish between a uniform distribution...Ch. 4.2 - Prob. 2ECh. 4.2 - Prob. 3ECh. 4.2 - Prob. 4ECh. 4.2 - Prob. 5ECh. 4.2 - Does It Make Sense? For Exercises 58, determine...Ch. 4.2 - Does It Make Sense? For Exercises 58, determine...Ch. 4.2 - Does It Make Sense? For Exercises 58, determine...Ch. 4.2 - Prob. 9ECh. 4.2 - Distributions. In Exercises 912, describe the...Ch. 4.2 - Distributions. In Exercises 912, describe the...Ch. 4.2 - Distributions. In Exercises 912, describe the...Ch. 4.2 - Baseball Salaries. In a recent year, the 868...Ch. 4.2 - Boston Rainfall. The daily rainfall amounts (in...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.3 - Variation Matters. Consider two grocery stores at...Ch. 4.3 - Variation Measures. Briefly distinguish between...Ch. 4.3 - Quartiles and Percentiles. Briefly describe how...Ch. 4.3 - Standard Deviation. Describe the process of...Ch. 4.3 - Does It Make Sense? For Exercises 58, determine...Ch. 4.3 - Does It Make Sense? For Exercises 58, determine...Ch. 4.3 - Does It Make Sense? For Exercises 58, determine...Ch. 4.3 - Does It Make Sense? For Exercises 58, determine...Ch. 4.3 - Prob. 9ECh. 4.3 - Range and Standard Deviation. Exercises 916 each...Ch. 4.3 - Range and Standard Deviation. Exercises 916 each...Ch. 4.3 - Range and Standard Deviation. Exercises 916 each...Ch. 4.3 - Range and Standard Deviation. Exercises 916 each...Ch. 4.3 - Range and Standard Deviation. Exercises 916 each...Ch. 4.3 - Range and Standard Deviation. Exercises 916 each...Ch. 4.3 - Range and Standard Deviation. Exercises 916 each...Ch. 4.3 - Prob. 17ECh. 4.3 - Comparing Variation. In Exercises 1720, find the...Ch. 4.3 - Prob. 19ECh. 4.3 - Comparing Variation. In Exercises 1720, find the...Ch. 4.3 - Calculating Percentiles. A statistics professor...Ch. 4.3 - Calculating Percentiles. A data set consists of...Ch. 4.3 - Understanding Standard Deviation. The following...Ch. 4.3 - Understanding Standard Deviation. The following...Ch. 4.3 - Comparing Data Sets. For each of Exercises 2528,...Ch. 4.3 - Comparing Data Sets. For each of Exercises 2528,...Ch. 4.3 - Comparing Data Sets. For each of Exercises 2528,...Ch. 4.3 - Comparing Data Sets. For each of Exercises 2528,...Ch. 4.3 - Manufacturing. You are in charge of a...Ch. 4.3 - Prob. 30ECh. 4.3 - Prob. 31ECh. 4.3 - Prob. 32ECh. 4.4 - False Positive and False Negative. Professional...Ch. 4.4 - Positive Test Result. A professional soccer player...Ch. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Does It Make Sense? For Exercises 58, determine...Ch. 4.4 - Does It Make Sense? For Exercises 58, determine...Ch. 4.4 - Does It Make Sense? For Exercises 58, determine...Ch. 4.4 - Does It Make Sense? For Exercises 58, determine...Ch. 4.4 - Prob. 9ECh. 4.4 - Passing Percentages. The table below shows the...Ch. 4.4 - Test Scores. The table below shows eighth-grade...Ch. 4.4 - Test Scores. Consider the following table...Ch. 4.4 - Prob. 13ECh. 4.4 - Prob. 14ECh. 4.4 - Basketball Records. Consider the following...Ch. 4.4 - Better Drug. Two drugs, A and B, were tested on a...Ch. 4.4 - Prob. 17ECh. 4.4 - Disease Test. Suppose a test for a disease is 80%...Ch. 4.4 - Prob. 19ECh. 4.4 - Drug Trials. (This problem is based on an example...Ch. 4.4 - HIV Risks. The New York State Department of Health...Ch. 4 - Chocolate Chips. Listed below are counts of the...Ch. 4 - Prob. 2CRECh. 4 - a. What is the standard deviation for a data set...Ch. 4 - When you add the earthquake magnitudes 2.45, 3.62,...Ch. 4 - Prob. 2CQCh. 4 - Prob. 3CQCh. 4 - Prob. 4CQCh. 4 - Prob. 5CQCh. 4 - Prob. 6CQCh. 4 - A histogram is constructed for a large set of...Ch. 4 - Prob. 8CQCh. 4 - Prob. 9CQCh. 4 - Identify the names of the components that...
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- Client 1 Weight before diet (pounds) Weight after diet (pounds) 128 120 2 131 123 3 140 141 4 178 170 5 121 118 6 136 136 7 118 121 8 136 127 a) Determine the mean change in patient weight from before to after the diet (after – before). What is the 95% confidence interval of this mean difference?arrow_forwardIn order to find probability, you can use this formula in Microsoft Excel: The best way to understand and solve these problems is by first drawing a bell curve and marking key points such as x, the mean, and the areas of interest. Once marked on the bell curve, figure out what calculations are needed to find the area of interest. =NORM.DIST(x, Mean, Standard Dev., TRUE). When the question mentions “greater than” you may have to subtract your answer from 1. When the question mentions “between (two values)”, you need to do separate calculation for both values and then subtract their results to get the answer. 1. Compute the probability of a value between 44.0 and 55.0. (The question requires finding probability value between 44 and 55. Solve it in 3 steps. In the first step, use the above formula and x = 44, calculate probability value. In the second step repeat the first step with the only difference that x=55. In the third step, subtract the answer of the first part from the…arrow_forwardIf a uniform distribution is defined over the interval from 6 to 10, then answer the followings: What is the mean of this uniform distribution? Show that the probability of any value between 6 and 10 is equal to 1.0 Find the probability of a value more than 7. Find the probability of a value between 7 and 9. The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20 and $30 per share. What is the probability that the stock price will be: More than $27? Less than or equal to $24? The April rainfall in Flagstaff, Arizona, follows a uniform distribution between 0.5 and 3.00 inches. What is the mean amount of rainfall for the month? What is the probability of less than an inch of rain for the month? What is the probability of exactly 1.00 inch of rain? What is the probability of more than 1.50 inches of rain for the month? The best way to solve this problem is begin by creating a chart. Clearly mark the range, identifying the lower and upper…arrow_forward
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