Arbitron Medla Research Incorporated conducted a study of the IPod listening habits of men and women. One facet of the study Involved the mean listening time. It was discovered that the mean listening time for a sample of 10 men was 35 minutes per day. The standard devlation was 10 minutes per day. The mean listening time for a sample of 13 women was also 35 minutes, but the standard devlation of the sample was 12 minutes. At the 0.10 significance level, can we conclude that there Is a difference In the varlation in the listening times for men and women? a. State the null and alternate hypotheses. and H o2#022 O Ho o?=022 and H o? =02? O Ho o?t022 and H; o? ±02? O Ho o?s02² and Hi: o?>02? b. State the decision rule. (Round your answer to 2 decimal places.) Reject Hn where F> c. Compute the value of the test statistic. (Round your answer to 2 decimal places.) The test statistic is d. Compute the p-value. (Round your answer to 4 decimal places.) p-value

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
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Arbitron Medla Research Incorporated conducted a study of the IPod listening habits of men and women. One facet of the study
Involved the mean listening time. It was discovered that the mean listening time for a sample of 10 men was 35 minutes per day. The
standard devlation was 10 minutes per day. The mean listening time for a sample of 13 women was also 35 minutes, but the standard
devlation of the sample was 12 minutes. At the 0.10 significance level, can we conclude that there Is a difference In the varlation in the
listening times for men and women?
a. State the null and alternate hypotheses.
O Ho: op? = 02² and Hi og? #02²
O Ho op? = 02² and Hi og? =02²
O Ho op?#02² and Hi of? #02²
O Ho op?soz² and Hi: oq?>02?
b. State the decision rule. (Round your answer to 2 decimal places.)
Reject Ho where F>
c. Compute the value of the test statistic. (Round your answer to 2 decimal places.)
The test statistic is
d. Compute the p-value. (Round your answer to 4 decimal places.)
p-value
Transcribed Image Text:Arbitron Medla Research Incorporated conducted a study of the IPod listening habits of men and women. One facet of the study Involved the mean listening time. It was discovered that the mean listening time for a sample of 10 men was 35 minutes per day. The standard devlation was 10 minutes per day. The mean listening time for a sample of 13 women was also 35 minutes, but the standard devlation of the sample was 12 minutes. At the 0.10 significance level, can we conclude that there Is a difference In the varlation in the listening times for men and women? a. State the null and alternate hypotheses. O Ho: op? = 02² and Hi og? #02² O Ho op? = 02² and Hi og? =02² O Ho op?#02² and Hi of? #02² O Ho op?soz² and Hi: oq?>02? b. State the decision rule. (Round your answer to 2 decimal places.) Reject Ho where F> c. Compute the value of the test statistic. (Round your answer to 2 decimal places.) The test statistic is d. Compute the p-value. (Round your answer to 4 decimal places.) p-value
e. What Is your decislon regarding Ho?
Decision:
Ho
f. Interpret the result.
We can conclude that there is
in the variation in the listening times for men and women.
Transcribed Image Text:e. What Is your decislon regarding Ho? Decision: Ho f. Interpret the result. We can conclude that there is in the variation in the listening times for men and women.
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