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A newspaper story headline reads "Gender Plays Part in Monkeys' Toy Choices, Research Finds-Like Humans, Male Monkeys Choose Balls and Cars, While Females Prefer Dolls and Pots."t The article goes on to summarize findings published in the paper "Sex Differences in Response to Children's Toys in Nonhuman Primates."t Forty-four male monkeys and 44 female monkeys were each given a variety of toys, and the time spent playing with each toy was recorded. The table gives means and standard deviations (approximate values read from graphs in the paper) for the percentage f the time that a monkey spent playing with a particular toy. Assume that it is reasonable to regard these two samples of 44 monkeys as representative of the populations of male monkeys and of female monkeys. Use a 0.05 significance level for any hypothesis tests that you carry out when answering the various parts of this exercise. (Use µ, for male monkeys and u, for female monkeys.) Percent of Time Female Monkeys Male Monkeys Sample Mean Sample Standard Sample Standard Sample in Mean Deviation Deviation Police Car 44 9 44 17 4 Тoy Doll 44 21 3 44 8. 2 Furry Dog 44 19 6 44 26 6. n USE SALT

A newspaper story headline reads "Gender Plays Part in Monkeys' Toy Choices, Research Finds-Like Humans, Male Monkeys Choose Balls and Cars, While Females Prefer Dolls and Pots."t The article goes on to summarize findings published in the paper "Sex Differences in Response to Children's Toys in Nonhuman Primates."t Forty-four male monkeys and 44 female monkeys were each given a variety of toys, and the time spent playing with each toy was recorded. The table gives means and standard deviations (approximate values read from graphs in the paper) for the percentage f the time that a monkey spent playing with a particular toy. Assume that it is reasonable to regard these two samples of 44 monkeys as representative of the populations of male monkeys and of female monkeys. Use a 0.05 significance level for any hypothesis tests that you carry out when answering the various parts of this exercise. (Use µ, for male monkeys and u, for female monkeys.) Percent of Time Female Monkeys Male Monkeys Sample Mean Sample Standard Sample Standard Sample in Mean Deviation Deviation Police Car 44 9 44 17 4 Тoy Doll 44 21 3 44 8. 2 Furry Dog 44 19 6 44 26 6. n USE SALT

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A newspaper story headline reads "Gender Plays Part in Monkeys' Toy Choices, Research Finds—Like Humans, Male Monkeys Choose Balls and Cars, While Females Prefer Dolls and Pots."† The article goes on to summarize findings published in the paper "Sex Differences in Response to Children's Toys in Nonhuman Primates."† Forty-four male monkeys and 44 female monkeys were each given a variety of toys, and the time spent playing with each toy was recorded. The table gives means and standard deviations (approximate values read from graphs in the paper) for the percentage of the time that a monkey spent playing with a particular toy. Assume that it is reasonable to regard these two samples of 44 monkeys as representative of the populations of male monkeys and of female monkeys. Use a 0.05 significance level for any hypothesis tests that you carry out when answering the various parts of this exercise. (Use ?1 for male monkeys and ?2 for female monkeys.)

(c) The furry dog was considered a "neutral" toy. Do these data provide convincing evidence that the mean percentage of the time spent playing with the furry dog is not the same for male and female monkeys? State the appropriate null and alternative hypotheses. O Ho: H1 - H2 = 0 Ha: H1 - H2 # 0 %3D Ho: H1 - H2 # 0 Hai H1- Hz = 0 O Ho: H, - H2 # 0 Ha: H1 - Mz>0 O Ho: H1- H2< 0 Hai H1 - Hz# 0 O Ho: H1 - 42 > 0 Ha: H1 - H2 # 0 Find the test statistic and P-value. (Use SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value State the conclusion in the problem context. We fail to reject Ho. These data provide convincing evidence that the mean percentage of the time spent playing with the furry dog is not the same for male and female monkeys. We reject Ho: These data provide convincing evidence that the mean percentage of the time spent playing with the furry dog is not the same for male and female monkeys. We fail to reject Ho. These data do not provide convincing evidence that the mean percentage of the time spent playing with the furry dog is not the same for male and female monkeys. We reject Ho. These data do not provide convincing evidence that the mean percentage of the time spent playing with the furry dog is not the same for male and female monkeys.
Transcribed Image Text:(c) The furry dog was considered a "neutral" toy. Do these data provide convincing evidence that the mean percentage of the time spent playing with the furry dog is not the same for male and female monkeys? State the appropriate null and alternative hypotheses. O Ho: H1 - H2 = 0 Ha: H1 - H2 # 0 %3D Ho: H1 - H2 # 0 Hai H1- Hz = 0 O Ho: H, - H2 # 0 Ha: H1 - Mz>0 O Ho: H1- H2< 0 Hai H1 - Hz# 0 O Ho: H1 - 42 > 0 Ha: H1 - H2 # 0 Find the test statistic and P-value. (Use SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value State the conclusion in the problem context. We fail to reject Ho. These data provide convincing evidence that the mean percentage of the time spent playing with the furry dog is not the same for male and female monkeys. We reject Ho: These data provide convincing evidence that the mean percentage of the time spent playing with the furry dog is not the same for male and female monkeys. We fail to reject Ho. These data do not provide convincing evidence that the mean percentage of the time spent playing with the furry dog is not the same for male and female monkeys. We reject Ho. These data do not provide convincing evidence that the mean percentage of the time spent playing with the furry dog is not the same for male and female monkeys.
A newspaper story headline reads "Gender Plays Part in Monkeys' Toy Choices, Research Finds-Like Humans, Male Monkeys Choose Balls and Cars, While Females Prefer Dolls and Pots."t The article goes on to summarize findings published in the paper "Sex Differences in Response to Children's Toys in Nonhuman Primates."f Forty-four male monkeys and 44 female monkeys were each given a variety of toys, and the time spent playing with each toy was recorded. The table gives means and standard deviations (approximate values read from graphs in the paper) for the percentage of the time that a monkey spent playing with a particular toy. Assume that it is reasonable to regard these two samples of 44 monkeys as representative of the populations of male monkeys and of female monkeys. Use a 0.05 significance level for any hypothesis tests that you carry out when answering the various parts of this exercise. (Use u, for male monkeys and for female monkeys.) Percent of Time Female Monkeys Male Monkeys Sample Standard Sample Standard Sample Sample in Mean Mean Deviation Deviation Police Car 44 9. 3 44 17 4 Toy Doll 44 21 44 8 Furry Dog 44 19 6 44 26 6. n USE SALT
Transcribed Image Text:A newspaper story headline reads "Gender Plays Part in Monkeys' Toy Choices, Research Finds-Like Humans, Male Monkeys Choose Balls and Cars, While Females Prefer Dolls and Pots."t The article goes on to summarize findings published in the paper "Sex Differences in Response to Children's Toys in Nonhuman Primates."f Forty-four male monkeys and 44 female monkeys were each given a variety of toys, and the time spent playing with each toy was recorded. The table gives means and standard deviations (approximate values read from graphs in the paper) for the percentage of the time that a monkey spent playing with a particular toy. Assume that it is reasonable to regard these two samples of 44 monkeys as representative of the populations of male monkeys and of female monkeys. Use a 0.05 significance level for any hypothesis tests that you carry out when answering the various parts of this exercise. (Use u, for male monkeys and for female monkeys.) Percent of Time Female Monkeys Male Monkeys Sample Standard Sample Standard Sample Sample in Mean Mean Deviation Deviation Police Car 44 9. 3 44 17 4 Toy Doll 44 21 44 8 Furry Dog 44 19 6 44 26 6. n USE SALT
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