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stats Tests, Testing the mean, testing the proportion p

by | Nov 30, 2023 | questions

8 stats questions…

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Section 9.1 — 8
Consumer Reports stated that the mean time for a Chrysler Concorde to go from 0 to 60 miles per hour was 8.7 seconds.
If you want to set up a statistical test to challenge the claim of 8.7 seconds, what would you use for the null hypothesis?
The town of Leadville, Colorado, has an elevation over 10,000 feet. Suppose you wanted to test the claim that the average time to accelerate from 0 to 60 miles per hour is longer in Leadville (because of less oxygen). What would you use for the alternate hypothesis?
Suppose you made an engine modification and you think that the average time to accelerate from 0 to 60 miles per hour has been reduced. What would you use for the alternate hypothesis?
For each of the test in parts B and C, would the p-value area be on the left, on the right, or on both sides of the mean? Explain your answer in each case.

Section 9.1 — 10
Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose readings from this horse (in mg/100 ml).
93 88 82 105 99 110 84 89
The sample mean is xbar=93.8. Let x be a random variable representing glucose readings taken from Gentle Ben. We may assume that x has a normal distribution, and we know from past experience that s.d=12.5. The mean glucose level for horses should be m=85mg/100 ml. Do these data indicate that gentle ben has an overall average glucose level higher than 85? Use a=0.05.
What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?
What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. What is the value of the sample test statistic?
Find (or estimate) the P-value. Sketch the sampling distribution and show the area corresponding to the P-value.
Based on your answers in parts(a) to (c), will you reject or fail to reject the null hypothesis? Are the…

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