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Question: Strong chairs? A company that manufactures classroom chairs for high school students claims that the mean breaking strength of the chairs that they make is 300 pounds. One of the chairs collapsed beneath a 220-pound student last week. You wonder whether the manufacturer is exaggerating the breaking strength of the chairs.
(a) State appropriate null and alternative hypotheses in this setting. Be sure to define your parameter.
(b) Describe a Type I error and a Type II error in this setting, and give the consequences of each.
(c) Would you recommend a significance level of 0.01, 0.05, or 0.10 for this test? Justify your choice.
(d) The power of the test to detect μ = 294 using a = 0.05 is 0.71. Interpret this value in context.
(e) Explain two ways that you could increase the power of the test from (d).
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The weight (in pounds) for a population of school-aged children is normally distributed with a mean equal to 135 ± 20 pounds (1-! ± a).
for a normal distribution identify the z-score location that would seperate the distribution into 2 sections so that
What is the probability that a worker at Random drives more that 15 miles to work if the distribution of all worker's mileage is a Normal Distribution that ranges from 4 miles to 26 miles?
it is your birthday and you are waiting for someone to write you a birthday message on facebook. on average on your
the skin cancer prevention study dataset can be found at the fitzmaurice website linked to the book applied
1. for a standard normal model find the z-value that is less than the mean and for which 67 of the area under the
a discrete random variable can be described as binomial distribution if is satisfies four conditions briefly discuss
The interval 6 to 12 pounds. find the probability that a person on this diet losses more than 11 pounds in the first two months.
Suppose n people, n = 3, play "odd person out" to decide who will buy the next round of refreshments. The n people each flip a fair coin simultaneously.
At the 0.025 significance level, what is the critical value? State the null and alternative hypothesis. Draw a diagram. Provide the computation of the test statistic. State your decision in terms of the null hypothesis.
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