Question

In: Statistics and Probability

A life insurance salesperson claims the average worker in the city of Winnipeg has no more...

A life insurance salesperson claims the average worker in the city of Winnipeg has no more than $25,000 of personal life insurance. To test this claim, you randomly sample 100 workers in Winnipeg. You find that this sample of workers averages $26,250 of personal life insurance. The population standard deviation is $12,000.

Determine whether the test shows enough evidence to reject the null hypothesis posed by the salesperson. Assume α = 0.05.

The value of the test statistic is?

Solutions

Expert Solution


Related Solutions

A life insurance salesperson claims the average worker in the city of Rome has no more...
A life insurance salesperson claims the average worker in the city of Rome has no more than $25,000 of personal life insurance. To test this claim, you randomly sample 100 workers in Rome. You find that this sample of workers has a mean $26,650 of personal life insurance. The population standard deviation is $12,000. Determine whether the test shows enough evidence to reject the null hypothesis posed by the salesperson. Assume α = 0.05. a) State null and alternative hypothesis...
Life insurance experts have been claiming that the average worker in the city of Cincinnati has...
Life insurance experts have been claiming that the average worker in the city of Cincinnati has no more than $25,000 of personal life insurance. An insurance researcher believes that this is not true and sets out to prove that the average worker in Cincinnati has more than $25,000 of personal life insurance. To test this claim, she randomly samples 100 workers in Cincinnati and interviews them about their personal life insurance coverage. She discovers that the average amount of personal...
The life insurance industry maintains that the average worker in Saskatoon has no more than $25,000...
The life insurance industry maintains that the average worker in Saskatoon has no more than $25,000 of personal life insurance. You believe this to be too low. You sample 100 workers in Saskatoon at random and find the sample average to be $26,650 of personal life insurance. The population standard deviation is known to be $12,000. Use α=0.05 throughout. Test your belief using a significance level of 5%. Explain, in the context of this question, what is meant by a...
The life insurance industry maintains that the average worker in Saskatoon has no more than $25,000...
The life insurance industry maintains that the average worker in Saskatoon has no more than $25,000 of personal life insurance.  You believe this to be too low.  You sample 100 workers in Saskatoon at random and find the sample average to be $26,650 of personal life insurance.  The population standard deviation is known to be $12,000.  Use α=0.05 throughout. (6) Test your belief using a significance level of 5%. (6)  Explain, in the context of this question, what is meant by a Type I error,...
The number of successful claims on life insurance policies for an insurance company has been determined...
The number of successful claims on life insurance policies for an insurance company has been determined to follow a Poisson process with an average rate of 5 claims per week. If the amount of money paid on each policy is uniformly distributed between $2,000 and $10,000, what is the mean of the total amount of money that the company pays out in a four-week period?
On February 1, a salesperson for Metropolitan Life Insurance met with the Drakes at their home....
On February 1, a salesperson for Metropolitan Life Insurance met with the Drakes at their home. The Drakes lived in a 55+ retirement community with a homeowners association that prohibited door-to-door sales. After facing a persuasive sales pitch about the importance of providing for the surviving spouse and their kids and grandkids, the Drakes signed a contract to purchase a life insurance policy for a total of $3000 per year. A down payment of $100 was required, with the remainder...
A lightbulb manufacturer has developed a new lightbulb that it claims has an average life of...
A lightbulb manufacturer has developed a new lightbulb that it claims has an average life of more than 1,000 hours. A random sample of 50 lightbulbs was taken and had a mean of 1,065 hours and standard deviation of 125 hours. Perform a hypothesis test with a level of significance of 0.01. Perform steps 2 and 3 of the hypothesis test. Perform step 4 of the hypothesis test using the information from the last question. Perform step 5 of the...
An insurance company has determined that each week an average of 9 claims are filed in...
An insurance company has determined that each week an average of 9 claims are filed in its Atlanta branch. What is the probability that during the next week at least 18 claims will be filed? How to solve this problem without Excel? Thanks
when is life insurance proceeds subject to creditor claims
when is life insurance proceeds subject to creditor claims
The average claims to an insurance company is 3 claims per day. a. Find what is...
The average claims to an insurance company is 3 claims per day. a. Find what is the probability that in a week there will be at least 5 days, 2 or 3 or 4 demands. b. Determine the probability that in a month, at least 15 days and at most 22 days, the number of demands this between 3 and 6 demands.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT