10. Rabbits like to eat the cucumbers in Mimi’s garden. There are 10 cucumbers in her garden which will be ready to harvest in about 10 days. Based on her experience, the probability of a cucumber being eaten by the rabbits before harvest is 0.30. 

(a) Let X be the number of cucumbers that Mimi harvests (that is, the number of cucumbers not eaten by rabbits). As we know, the distribution of X is a binomial probability distribution. What is the number of trials (n), probability of successes (p) and probability of failures (q), respectively? 

(b) Find the probability that Mimi harvests at least 8 of the 10 cucumbers. (round the answer to 3 decimal places) Show all work. Just the answer, without supporting work, will receive no credit. 

 

11. The heights of pecan trees are normally distributed with a mean of 10 feet and a standard deviation of 2 feet. Show all work. Just the answer, without supporting work, will receive no credit. 

(a) What is the probability that a randomly selected pecan tree is between 7 and 11 feet tall? (round the answer to 4 decimal places) 

(b) Find the 40th percentile of the pecan tree height distribution. (round the answer to 2 decimal places) 

 

12. Based on the performance of all individuals who tested between July 1, 2013 and June 30, 2016, the GRE Quantitative Reasoning scores are normally distributed with a mean of 152.57 and a standard deviation of 9.02. (https://www.ets.org/s/gre/pdf/gre_guide_table1a.pdf). Show all work. Just the answer, without supporting work, will receive no credit. 

(a) Consider all random samples of 64 test scores. What is the standard deviation of the sample means? (Round your answer to three decimal places) 

(b) What is the probability that 64 randomly selected test scores will have a mean test score that is greater than 155? (Round your answer to four decimal places) 

 

13. In a study designed to test the effectiveness of acupuncture for treating migraine, 100 patients were randomly selected and treated with acupuncture. After one-month treatment, the number of migraine attacks for the group had a mean of 2 and standard deviation of 1.5. Construct a 90% confidence interval estimate of the mean number of migraine attacks for people treated with acupuncture. Show all work. Just the answer, without supporting work, will receive no credit. 

 

14. Mimi conducted a survey on a random sample of 100 adults. 58 adults in the sample chose banana as his / her favorite fruit. Construct a 95% confidence interval estimate of the proportion of adults whose favorite fruit is banana. Show all work. Just the answer, without supporting work, will receive no credit. 

 

15. A researcher claims the proportion of auto accidents that involve teenage drivers is greater than 15%. ABC Insurance Company checks police records on 300 randomly selected auto accidents and notes that teenagers were at the wheel in 50 of them. 

Assume the company wants to use a 0.05 significance level to test the researcher’s claim.

(a) Identify the null hypothesis and the alternative hypothesis. 

(b) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit. 

(c) Determine the P-value for this test. Show all work; writing the correct P-value, without supporting work, will receive no credit. 

(d) Is there sufficient evidence to support the claim that the proportion of auto accidents that involve teenage drivers is greater than 15%? Explain. 

AccountingQueen

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Status NEW Posted 13 Aug 2017 06:08 PM My Price 8.00

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