Assume that a randomly selected subject is given a bone density test. Those test scores are normally distnbuted with a mean of U and a Stahdard devianON OI Draw a graph and find the probability of a bone density test score greater than 0.83. Sketch the region. Choose the correct graph below. O A. OB. OC. OD.

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O E. Ho: H270 %3D the administrator's claim that the mean score for the state's eighth graders on the exam is more than 270.

The graph of a normal curve is given. Use the graph to identify the value of u and o. 470 485 500 5i5 530 545 560 575 590 The value of u is The value of o is

Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna). (Reference: Hummingbirds, K. Long, W. Alther.) Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is  = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and ? = 0.64 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is ? = 4.30 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.30 grams? Use ? = 0.10. (a)  What is the level of significance? (Enter a number.)State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? H0: ? = 4.3 g; H1: ? < 4.3 g; left-tailed H0: ? < 4.3 g; H1: ? = 4.3 g; left-tailed…

In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.At five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts (in miles per hour) for January and April are recorded below. Weather Station 1 2 3 4 5 January 139 120 126 64 78 April 108 113 102 88 61 Does this information indicate that the peak wind gusts are higher in January than in April? Use ? = 0.01. (Let d = January − April.) (a) What is the level of significance?=__ What is the value of the sample test statistic? (Round your answer to three decimal places.)=___

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Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna). (Reference: Hummingbirds, K. Long, W. Alther.) Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is  = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and ? = 0.64 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is ? = 4.30 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.30 grams? Use ? = 0.10. (a)  What is the level of significance? (Enter a number.)State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? H0: ? = 4.3 g; H1: ? ≠ 4.3 g; two-tailedH0: ? < 4.3 g; H1: ? = 4.3 g; left-tailed    H0:…

The post-lunch dip is the drop in mental alertness after a midday meal. Does an extract of the leaves of the ginkgo tree reduce the post-lunch dip? Assign healthy people aged 18 to 40 years to take either ginkgo extract or a placebo pill. After lunch, ask them to read seven pages of random letters and place an X over every e. Count the number of misses per line read. M. K. Pawlik, "The effect of ginkgo biloba on the post-lunch dip and chemosensory function," MS thesis, Purdue University, 2002. What is a placebo and why was one group given a placebo? A placebo is a treatment pill that is presented to the individuals as a control treatment. A placebo is a lower-strength version of the pill that allows researchers to account for any physiological effect of taking the pill. O A placebo is an inert pill that allows researchers to account for any psychological effect of taking the pill. A placebo is a different pill that allows researchers to account for any variational effect of taking the…