6.The proprietor of a greenhouse claims that its pots of lilies average 6.0 buds, with a standard deviation of 0.4 buds. If a random sample of 12 pots of lilies from a large number of pots of lilies has a mean of 5.8 buds, does this deny the proprietor's claim of the mean number of buds at the 0.05 level of significance?

6.The proprietor of a greenhouse claims that its pots of lilies average 6.0 buds, with a standard deviation of 0.4 buds. If a random sample of 12 pots of lilies from a large number of pots of lilies has a mean of 5.8 buds, does this deny the proprietor's claim of the mean number of buds at the 0.05 level of significance?

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Description: 6.The proprietor of a greenhouse claims that its pots of lilies average 6.0 buds, with astandard deviation of 0.4 buds. If a random sample of 12 pots of lilies from a largenumber of pots of lilies has a mean of 5.8 buds, does this deny the proprieto

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
1. The fuel efficiency of a new model pick-up truck (truck) is measured in miles per gallon (mpg). A company claims that their new truck gets 25 mpg on average. A consumer group thinks the company is lying and claims that the mean mileage for all the trucks is less than 25 mpg. In a random sample, of forty-five of these trucks the mean mpg was 23.3 mpg with a standard deviation of 5.1 mpg. a. Conduct a hypothesis test to test the consumer group's claim at the 5% significance level. Be sure to state you Ho and Ha, your test statistic and p- value, whether or not you reject Ho and whether you support the claim. b. Write a complete sentence describing what a Type I error is in context. c. Write a complete sentence describing what a Type II error is in context.
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1) A half-century ago, the mean height of women in a particular country in their 20s was 63.7 inches. Assume that the heights of today's women in their 20s are approximately normally distributed with a standard deviation of 2.31 inches. If the mean height today is the same as that of a half-century ago, what percentage of all samples of 26 of today's women in their 20s have mean heights of at least 65.04 inches?