Statistics Math questions.

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10 questions about Statistics Math.


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1.Young men in certain countries tend to think they need more muscle to be attractive. One study presented 200 young men from a certain country with 100 images of men with various levels of muscle. Researchers measure level of muscle in kilograms per square meter (kg/m2) of fat-free body mass. Typical young men have about 20 kg/m2. 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 2.72 kg/m2. Suppose that the muscle gap in the population of all young men has a Normal distribution with standard deviation 2.5 kg/m2. If young men thought that their own level of muscle was about what women prefer, the mean "muscle gap" in the study described above would be 0. We suspect (before seeing the data) that young men think women prefer more muscle than they themselves have. (a) State null and alternative hypotheses for testing this suspicion. A: H0: μ = 0 Ha: μ > 0 B: H0: μ = 2.35 Ha: μ > 2.35 C: H0: μ = 0 Ha: μ ≠ 0 D: H0: μ = 0 Ha: μ < 0 (b) What is the value of the test statistic z? (Round your answer to two decimal places.) z= (c) You can tell just from the value of z that the evidence in favor of the alternative is very strong (that is, the P-value is very small). Explain why this is true. (Select all that apply.) A: Because large values of the statistic show that the data is consistent with the null hypothesis. B: Because large values of the statistic show that the data is not consistent with the null hypothesis. C: Because large values of the statistic show that the observed result would be likely to occur if the alternative hypothesis were true. D: Because large values of the statistic show that the observed result would be unlikely to occur if the null hypothesis were true. 2. Successful hotel managers must have personality characteristics often thought of as feminine (such as "compassionate") as well as those often thought of as masculine (such as "forceful"). The Bem Sex-Role Inventory (BSRI) is a personality test that gives separate ratings for female and male stereotypes, both on a scale of 1 to 7. A sample of 144 male general managers of three-star and four-star hotels had mean BSRI masculinity score x = 5.24. The mean score for the general male population is μ = 5.18. Do hotel managers, on the average, differ significantly in femininity score from men in general? Assume that the standard deviation of scores in the population of all male hotel managers is the same as the σ = 0.73 for the adult male population. (a) State null and alternative hypotheses in terms of the mean femininity score μ for male hotel managers. A: H0: μ = 5.18 Ha: μ ≠ 5.18 B: H0: x = 5.18 Ha: x ≠ 5.18 C: H0: x Ha: x = 5.18 > 5.18 D: H0: μ Ha: μ = 5.18 > 5.18 (b) Find the z test statistic. (Round your answer to two decimal places.) (c) What is the P-value for your z? (Round your answer to four decimal places.) What do you conclude about male hotel managers? (Assume a 99% confidence level.) A: There is evidence that hotel managers have greater mean femininity scores than the general male population. B: There is evidence that hotel managers have different mean femininity scores than the general male population. C: There is not enough evidence to conclude that hotel managers have greater mean femininity scores than the general male population. D: There is not enough evidence to conclude that hotel managers have different mean femininity scores than the general male population. 3. The one-sample t statistic for testing the hypotheses below from a sample of n = 17 observations has the value t = 1.85. H0: μ = 0 Ha: μ > 0 (a) What are the degrees of freedom for this statistic? df = (b) Give the two critical values t* from Table C that bracket t. (Enter your answers to three decimal places.) ____< t* 32,500 B: H0: μ ≠ 32,500 Ha: μ = 32,500 C:H0: μ = 32,500 Ha: μ ≠ 32,500 D:H0: μ = 32,500 Ha: μ < 32,500 What is the value of the test statistic. (Round your answer to two decimal places.) z= What is the P-value of the test? (Round your answer to four decimal places.) P-value = What is your conclusion? A:There is enough evidence to conclude that the wood's mean strength differs from 32,500 pounds. B:There is not enough evidence to conclude that the wood's mean strength differs from 32,500 pounds. 8. The one-sample t statistic from a sample of n = 7 observations for the two-sided test of the following hypotheses has the value t = 1.80. H0: μ = 50 Ha: μ ≠ 50 (a) What are the degrees of freedom for t? df = (b) Locate the two critical values t* from Table C that bracket t. (Enter your answers to three decimal places.) ____ < t*
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1.Young men in certain countries tend to think they need more muscle to be attractive.
One study presented 200 young men from a certain country with 100 images of men with
various levels of muscle. Researchers measure level of muscle in kilograms per square
meter (kg/m2) of fat-free body mass. Typical young men have about 20 kg/m2. 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 2.72 kg/m2. Suppose that the muscle gap in the
population of all young men has a Normal distribution with standard deviation 2.5 kg/m2.
If young men thought that their own level of muscle was about what women prefer, the
mean "muscle gap" in the study described above would be 0. We suspect (before seeing
the data) that young men think women prefer more muscle than they themselves have.
(a) State null and alternative hy...


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