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State What the Given Confidence Interval Suggests About the Two μ1μ2\mu _ { 1 } - \mu _ { 2 }

question 84

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State what the given confidence interval suggests about the two population means.
-A researcher was interested in comparing the amount of time spent watching television by women and by men. Independent simple random samples of 14 women and 17 men were selected, and each person was asked how
Many hours he or she had watched television during the previous week. The summary statistics are as follows.  State what the given confidence interval suggests about the two population means. -A researcher was interested in comparing the amount of time spent watching television by women and by men. Independent simple random samples of 14 women and 17 men were selected, and each person was asked how Many hours he or she had watched television during the previous week. The summary statistics are as follows.   The following 99% confidence interval was obtained for  \mu _ { 1 } - \mu _ { 2 }  the difference between the mean amount of Time spent watching television for women and the mean amount of time spent watching television for men:  - 5.73 \text { hrs } < \mu _ { 1 } - \mu _ { 2 } < 4.13 \text { hrs. }  What does the confidence interval suggest about the population means? A)  The confidence interval limits include 0 which suggests that the two population means are unlikely to be equal. There appears to be a significant difference between the mean amount of time spent watching Television for women and the mean amount of time spent watching television for men. B)  The confidence interval includes only negative values which suggests that the mean amount of time spent watching television for women is smaller than the mean amount of time spent watching television for Men)  C)  The confidence interval includes only positive values which suggests that the mean amount of time spent watching television for women is larger than the mean amount of time spent watching television for men. D)  The confidence interval limits include 0 which suggests that the two population means might be equal. There does not appear to be a significant difference between the mean amount of time spent watching Television for women and the mean amount of time spent watching television for men. The following 99% confidence interval was obtained for μ1μ2\mu _ { 1 } - \mu _ { 2 } the difference between the mean amount of
Time spent watching television for women and the mean amount of time spent watching television for men: 5.73 hrs <μ1μ2<4.13 hrs. - 5.73 \text { hrs } < \mu _ { 1 } - \mu _ { 2 } < 4.13 \text { hrs. } What does the confidence interval suggest about the population means?

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Definitions:

Temperament

An individual's innate predisposition towards emotional reactivity and intensity, influencing their behavior and interactions with others.

Modify

Describes the act of making alterations or adjustments to something, often to improve it or to make it more suitable for a particular purpose.

Temperaments

The innate aspects of an individual's personality, such as introversion or extroversion, that are often evident from infancy and are relatively stable over time.

Chess and Thomas

Researchers known for their categorization of children's temperaments into three basic types: easy, difficult, and slow-to-warm-up.

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