distributed. An experiment consists of tossing 100 dimes repeatedly and noting the number of heads each time. The graph of the number of heads turns out to be very nearly a normal curve, with a mean of 50 and a standard deviation of 5. (Enter your answers as whole numbers.) (a) Within what limits would you expect the number of heads to be 68% of the time? lower limit heads upper limit heads (b) What percent of the time would you expect the number of heads to be between 40 and 60? % (c) Suppose that a particular dime arouses your suspicion by turning up heads too often. You toss this dime 100 times. How many times will it have to turn up heads in order for you to be almost 100% certain that it is not a fair coin? (Hint: Most of the data in a normal distribution fall within 3 standard deviations of the mean.)
distributed. An experiment consists of tossing 100 dimes repeatedly and noting the number of heads each time. The graph of the number of heads turns out to be very nearly a normal curve, with a mean of 50 and a standard deviation of 5. (Enter your answers as whole numbers.) (a) Within what limits would you expect the number of heads to be 68% of the time? lower limit heads upper limit heads (b) What percent of the time would you expect the number of heads to be between 40 and 60? % (c) Suppose that a particular dime arouses your suspicion by turning up heads too often. You toss this dime 100 times. How many times will it have to turn up heads in order for you to be almost 100% certain that it is not a fair coin? (Hint: Most of the data in a normal distribution fall within 3 standard deviations of the mean.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Assume that the results are
An experiment consists of tossing 100 dimes repeatedly and noting the number of heads each time. The graph of the number of heads turns out to be very nearly a normal curve, with a mean of 50 and a standard deviation of 5. (Enter your answers as whole numbers.)
(a) Within what limits would you expect the number of heads to be 68% of the time?
(b) What percent of the time would you expect the number of heads to be between 40 and 60?
%
(c) Suppose that a particular dime arouses your suspicion by turning up heads too often. You toss this dime 100 times. How many times will it have to turn up heads in order for you to be almost 100% certain that it is not a fair coin? (Hint: Most of the data in a normal distribution fall within 3 standard deviations of the mean.)
more than times
lower limit | heads |
upper limit | heads |
(b) What percent of the time would you expect the number of heads to be between 40 and 60?
%
(c) Suppose that a particular dime arouses your suspicion by turning up heads too often. You toss this dime 100 times. How many times will it have to turn up heads in order for you to be almost 100% certain that it is not a fair coin? (Hint: Most of the data in a normal distribution fall within 3 standard deviations of the mean.)
more than times
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