1The scores of the top ten finishers in a mens golf tourname

1.The scores of the top ten finishers in a men’s golf tournament are listed. Find the mean. 65 66 67 66 67 70 67 70 71 68

2.The occurrence of a certain spotted leaf is thought to have a binomial distribution. The probability that an individual lead will have a spot is p=0.65. Find the probability that among 10 randomly selected leaves, at least 4 leaves will have one spot.

3.The probability that an adult person in a certain population lived one year is 0.9984. An insurance company charged $1440 for a term life insurance with a return of premium rider to insure a member for one year. The death benefit is $300,000. The company sells 1200 policies.

   What is the expected gain for the company on each policy for one year?

   What is the mean number of death in this group of 1200 policy holders?

   What is the most number of policyholders that can die for the company to make a profit?

   Use the poisson distribution to estimate the probability that the company makes a profit from 1200 policies sold

4.List two properties of a good estimator

unbaised

relatively efficient

biased

consistent

inconsistent

5.the length of time it takes college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 7.0 minutes and a standard deviation of 1 minute. Find the probability that a randomly selected college student will fin d a parking spot in the library parking lot in less than 6.5 minutes

6.Find the P value for testing the claim at M<120 if the test statistic of T=-2.32 and N=28

7.The population of adults have IQ scores which are normally distibuted. Use a=0.01 to find the Critical Value of Z for testing the claim that the proportion of adults with IQ scores above 120 is equal to 30%

8.X=N(100,15) Find the nineteenth percentile

9. Given that x=N(75.5,12.5) Find P(z>70.4)

10. A consumer claims that the mean lifetime of a brand of fluorescent bulbs is less than 1500 hours. She selects 25 bulbs and find the mean lifetime to be 1480 hours with a standard deviation 80 hours. Assume that the life of these bulbs if normally distributed. If you were to test the consumer’s claim at the 0.05 significance level, what would you conclude?

do not reject, these is not enough evidence from sample data to support the claim

reject, there is enough evidence from sample data to support the claim

do not reject, there is nto enough evidence from sampel data to warrant rejecting the claim

Reject, there is enough evidence from sample data to warrant rejection the claim

11. 51 students spend on average $1250.80 each year for school supplies witha standard deviation of $325.50. Use a=0.05 to test the claim that mean yearly cost of school supplies is less than $1320.75.

What is the hypothesis claim

What is the TV of the correct random variable for this test

What is the CV of the correct random variable for this test

d. What is the correct decision using the CV method

E. What is the summary statement

12. A simple random camel has n=51 and S=7.5. Use a 95% confidence level to find the confidence interval for the variance 0^2.

To calculate x^2Right the area to the right of x^2right and the degrees of freedom are

Use the correct table to find x^2 right

To calculate x^2left, the area to the right of x2left, and the degrees of freedom are

Use the correct table to find x^2 left

Find the confidence interval



13. In the above problem, use a=5% to test the claim that the population variance, 0^2 had not changed from 60 mins^2.

Write the hypothesis claim

What is the test value

Find the critical values

What is the decision

What is the summary statement?

Solution