Introductory Statistics
Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Chapter 6, Problem 56P

X~N(4,5) Find the maxium of x in the bottom quartile.

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Microsoft Excel snapshot for random sampling: Also note the formula used for the last column 02 x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51)) A B 1 No. States 2 1 ALABAMA Rand No. 0.925957526 3 2 ALASKA 0.372999976 4 3 ARIZONA 0.941323044 5 4 ARKANSAS 0.071266381 Random Sample CALIFORNIA NORTH CAROLINA ARKANSAS WASHINGTON G7 Microsoft Excel snapshot for systematic sampling: xfx INDEX(SD52:50551, F7) A B E F G 1 No. States Rand No. Random Sample population 50 2 1 ALABAMA 0.5296685 NEW HAMPSHIRE sample 10 3 2 ALASKA 0.4493186 OKLAHOMA k 5 4 3 ARIZONA 0.707914 KANSAS 5 4 ARKANSAS 0.4831379 NORTH DAKOTA 6 5 CALIFORNIA 0.7277162 INDIANA Random Sample Sample Name 7 6 COLORADO 0.5865002 MISSISSIPPI 8 7:ONNECTICU 0.7640596 ILLINOIS 9 8 DELAWARE 0.5783029 MISSOURI 525 10 15 INDIANA MARYLAND COLORADO
Suppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was $3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16, start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined. 1.What percent of the refunds are more than $3,500? 2. What percent of the refunds are more than $3500 but less than $3579? 3. What percent of the refunds are more than $3325 but less than $3579?
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…

Chapter 6 Solutions

Introductory Statistics

Ch. 6 - Two thousand students took an exam. The scores on...Ch. 6 - Using the information from Example 6.12, answer...Ch. 6 - A bottle of water contains 12.05 fluid ounces with...Ch. 6 - A normal distribution has a mean of 61 and a...Ch. 6 - X~N(1,2)=Ch. 6 - A company manufactures rubber balls. The mean...Ch. 6 - X~N(-4, 1) What is the median?Ch. 6 - X~N(3,5)=Ch. 6 - X~N(2,1)=Ch. 6 - What does a z-score measure?Ch. 6 - What does standardizing a normal distribution do...Ch. 6 - Is X ~N(0, 1) a standardized normal distribution?...Ch. 6 - What is the z-score of x = 12, if it is two...Ch. 6 - What is the z-score of x = 9, if it is 1.5...Ch. 6 - What is the z-score of x = —2, if it is 2.78...Ch. 6 - What is the z-score of x = 7, if it is 0.133...Ch. 6 - Suppose X~ N(2, 6). What value of x has a z-score...Ch. 6 - Suppose X~ N(8, 1). ‘What value of x has a z-score...Ch. 6 - Suppose X ~N(9, 5). What value of x has a z-score...Ch. 6 - Suppose X~ N(2, 3). That value of x has a z-score...Ch. 6 - Suppose X ~N(4, 2). What value of x is 1.5...Ch. 6 - Suppose X ~N(4, 2). What value of x is two...Ch. 6 - Suppose X ~N(8, 9). What value of x is 0.67...Ch. 6 - Suppose X ~N(—1, 2). What is the z-score of x = 2?Ch. 6 - Suppose X ~N( 12, 6). What is the z-score of x =...Ch. 6 - Suppose X ~N(9, 3). What is the z-score of x = 9?Ch. 6 - Suppose a normal distribution has a mean of six...Ch. 6 - In a normal distribution, x = 5 and z = —1.25....Ch. 6 - In a normal distribution, x = 3 and z = 0.67. This...Ch. 6 - In a normal distribution, x = —2 and z = 6. This...Ch. 6 - In a normal distribution, x = —5 and z = —3.14....Ch. 6 - In a normal distribution, x= 6 and z —1.7. This...Ch. 6 - About what percent of x values from a normal...Ch. 6 - About what percent of the x values from a normal...Ch. 6 - About what percent of x values lie between the...Ch. 6 - Suppose X N( 15, 3). Between what x values does...Ch. 6 - Suppose X~ N(—3, 1). Between what x values does...Ch. 6 - Suppose X ~N(—3, 1). Between what x values does...Ch. 6 - About what percent of x values lie between the...Ch. 6 - About what percent of x values lie between the...Ch. 6 - About what percent of x values lie between the...Ch. 6 - About what percent of x values lie between the...Ch. 6 - Use the following information to answer the next t...Ch. 6 - Use the following information to answer the next t...Ch. 6 - How would you represent the area to the left of...Ch. 6 - What is the area to the right of one? Figure 6.13Ch. 6 - Is P(x < 1) equal to P(x1) ? ‘by?Ch. 6 - How would you represent the area to the left of...Ch. 6 - What is the area to the right of three? Figure...Ch. 6 - If the area to the left of x in a normal...Ch. 6 - If the area to the tight of x in a normal...Ch. 6 - Use the following information to answer the next...Ch. 6 - Use the following information to answer the next...Ch. 6 - Use the following information to answer the next...Ch. 6 - Use the following information to answer the next...Ch. 6 - X~N(6, 2) Find the probability that x is between...Ch. 6 - X~N(—3, 4) Find the probability that x is between...Ch. 6 - X~N(4,5) Find the maxium of x in the bottom...Ch. 6 - Use the following information to answer the next...Ch. 6 - Find the probability that a CD player will last...Ch. 6 - Find the 70th percentile of the distribution for...Ch. 6 - Use the following information to answer the next r...Ch. 6 - Use the following information to answer the next r...Ch. 6 - The length of time to find it takes to find a...Ch. 6 - The heights of the 430 National Basketball...Ch. 6 - The systolic blood pressure (given In millimeters)...Ch. 6 - Kyle’s doctor told him that the z-score for his...Ch. 6 - Height and weight are two measurements used to...Ch. 6 - In 2005, 1,475,623 students heading to college...Ch. 6 - Use the following information (0 answer the next...Ch. 6 - Use the following information (0 answer the next...Ch. 6 - Use the following information to answer the next...Ch. 6 - Use the following information to answer the next...Ch. 6 - Use the following information to answer the next...Ch. 6 - According to a study done by De Anza students, the...Ch. 6 - IQ is normally distributed with a mean of 100 and...Ch. 6 - The percent of fat calories that a person In...Ch. 6 - Suppose that the distance of fly balls hit to the...Ch. 6 - In China, four-ear-olds average three bows a day...Ch. 6 - In the 1992 presidential election, Alaska's 40...Ch. 6 - Suppose that the duration of a particular type of...Ch. 6 - Tern Vogel, an amateur motorcycle racer, averages...Ch. 6 - Thuy Dau, Ngoc Bui, Sam Su, and Lan Voung...Ch. 6 - Suppose that Ricardo and Anita attend different...Ch. 6 - Table 6.4 shows a sample of the maximum capacity...Ch. 6 - An expert witness for a paternity lawsuit...Ch. 6 - A NUMMI assembly Line, which has been operating...Ch. 6 - We flip a coin 100 times (n = 100) and note that...Ch. 6 - A $1 scratch off lotto ticket will be a inner one...Ch. 6 - Facebook provides a variety of statistics on its...
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