It is claimed that the average amount of time boys and girls (age between 7 and 11) spend playing sports each day is the same. A child psychologist believes that boys, on average, spend more time playing sports than girls. He randomly selected 75 girls and 60 boys and observed their play time on sports. From his samples he found that girls have spent on average 2.5 hours playing sports with a standard deviation of 0.56 hour, and boys have spent on average 3.8 hours playing sports with a standard deviation of 0.84 hour. It is found that the time spent on playing sports in normally distributed for boys and girls. Is this data sufficient to support the psychologist claim? Do the test at the 5% level of significance. Assume girls belong to population 1 and boys belong to population 2. Data given in this question are: a) mu1 = 2.5, mu2 = 3.8, sigma1 = 0.56, sigma2 = 0.84. b) y-bar1 = 2.5, y-bar2 = 3.8, sigma1 = 0.56, sigma2 = 0.84. c) y-bar1 = 2.5, y-bar2 = 3.8, s1 = 0.56, s2 = 0.84. d) mu1 = 2.5, mu2 = 3.8, s1 = 0.56, s2 = 0.84.
It is claimed that the average amount of time boys and girls (age between 7 and 11) spend playing sports each day is the same. A child psychologist believes that boys, on average, spend more time playing sports than girls. He randomly selected 75 girls and 60 boys and observed their play time on sports. From his samples he found that girls have spent on average 2.5 hours playing sports with a standard deviation of 0.56 hour, and boys have spent on average 3.8 hours playing sports with a standard deviation of 0.84 hour. It is found that the time spent on playing sports in normally distributed for boys and girls. Is this data sufficient to support the psychologist claim? Do the test at the 5% level of significance. Assume girls belong to population 1 and boys belong to population 2. Data given in this question are: a) mu1 = 2.5, mu2 = 3.8, sigma1 = 0.56, sigma2 = 0.84. b) y-bar1 = 2.5, y-bar2 = 3.8, sigma1 = 0.56, sigma2 = 0.84. c) y-bar1 = 2.5, y-bar2 = 3.8, s1 = 0.56, s2 = 0.84. d) mu1 = 2.5, mu2 = 3.8, s1 = 0.56, s2 = 0.84.
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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4)
It is claimed that the average amount of time boys and girls (age between 7 and 11) spend playing sports each day is the same. A child psychologist believes that boys, on average, spend more time playing sports than girls. He randomly selected 75 girls and 60 boys and observed their play time on sports. From his samples he found that girls have spent on average 2.5 hours playing sports with a standard deviation of 0.56 hour, and boys have spent on average 3.8 hours playing sports with a standard deviation of 0.84 hour. It is found that the time spent on playing sports in normally distributed for boys and girls. Is this data sufficient to support the psychologist claim? Do the test at the 5% level of significance. Assume girls belong to population 1 and boys belong to population 2. Data given in this question are:
| a) |
mu1 = 2.5, mu2 = 3.8, sigma1 = 0.56, sigma2 = 0.84.
|
|
| b) |
y-bar1 = 2.5, y-bar2 = 3.8, sigma1 = 0.56, sigma2 = 0.84.
|
|
| c) |
y-bar1 = 2.5, y-bar2 = 3.8, s1 = 0.56, s2 = 0.84.
|
|
| d) |
mu1 = 2.5, mu2 = 3.8, s1 = 0.56, s2 = 0.84.
|
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