Many young men in North America and Europe (but not in Asia) tend to think they need more muscle to be attractive. One study presented 200 young American men with 100 images of men with various levels of muscle. Researchers measure level of muscle in kilograms per square meter (??/?2) of fat‑free body mass. Typical young men have about 20 ??/?2 . Each subject chose two images, one that represented his own level of body muscle and one that he thought represented “what women prefer.” The mean gap between self‑image and “what women prefer” was 2.35 ??/?2 .Suppose that the “muscle gap” in the population of all young men has a Normal distribution with standard deviation 2.5 ??/?2 . Give a 90% confidence interval for the mean amount of muscle young men think they should add to be attractive to women. (Enter your answers rounded to four decimal places.)lower limit=                    upper limit=

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Asked Nov 4, 2019
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Many young men in North America and Europe (but not in Asia) tend to think they need more muscle to be attractive. One study presented 200 young American men with 100 images of men with various levels of muscle. Researchers measure level of muscle in kilograms per square meter (??/?2) of fat‑free body mass. Typical young men have about 20 ??/?2 . Each subject chose two images, one that represented his own level of body muscle and one that he thought represented “what women prefer.” The mean gap between self‑image and “what women prefer” was 2.35 ??/?2 .

Suppose that the “muscle gap” in the population of all young men has a Normal distribution with standard deviation 2.5 ??/?2 . Give a 90% confidence interval for the mean amount of muscle young men think they should add to be attractive to women. (Enter your answers rounded to four decimal places.)

lower limit=                    
upper limit=
 
 
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Expert Answer

Step 1

It is given that,

Sample mean = 2.35.

Population standard deviation, sigma is 2.5.

The sample size, n is 200.

Step 2

The z-critical value for 90% confidence interval is approximately 1.645.

...

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Image Transcriptionclose

CI t z 2.5 =2.35 1.645 200 - 2.35 0.2908 (2.0592, 2.6408)

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