Question

In: Statistics and Probability

It is believed that the average amount of money spent per U.S. household per week on...

It is believed that the average amount of money spent per U.S. household per week on food is about $98, with standard deviation $10. A random sample of 100 households in a certain affluent community yields a mean weekly food budget of $100. We want to test the hypothesis that the mean weekly food budget for all households in this community is higher than the national average. Are the results significant at the 5% level?

a) No, we should fail to reject Ho.

b) Yes, we should reject Ho.

Review Later

Question 5

Based on information from a large insurance company, 67% of all damage liability claims are made by single people under the age of 25. A random sample of 51 claims showed that 43 were made by single people under the age of 25. Does this indicate that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company? State the null and alternate hypothesis.

a) Ho: p = .84, Ha: p < .84

b) Ho: p = .84, Ha: p > .84

c) Ho: p = .67, Ha: p < .67

d) Ho: p = .67, Ha: p > .67

e) Ho: p = .67, Ha: p ≠ .67

Solutions

Expert Solution

4)

5)

d) Ho: p = .67, Ha: p > .67


Related Solutions

The average amount of money spent for lunch per person in the college cafeteria is $5.67...
The average amount of money spent for lunch per person in the college cafeteria is $5.67 and the standard deviation is $2.76. Suppose that 45 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible. What is the distribution of X ? X ~ N( , ) What is the distribution of ¯ x ? ¯ x ~ N( , ) For a single randomly selected lunch...
The average amount of money spent for lunch per person in the college cafeteria is $7.14...
The average amount of money spent for lunch per person in the college cafeteria is $7.14 and the standard deviation is $2.14. Suppose that 18 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible. What is the distribution of XX? XX ~ N(,) What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) For a single randomly selected lunch patron, find the probability that this patron's lunch...
The average amount of money spent for lunch per person in the college cafeteria is $6.63...
The average amount of money spent for lunch per person in the college cafeteria is $6.63 and the standard deviation is $2.54. Suppose that 18 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. What is the distribution of XX? XX ~ N(,) What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) For a single randomly selected lunch patron, find the probability that this patron's...
The director of special events for Sun City believed that the amount of money spent on...
The director of special events for Sun City believed that the amount of money spent on fireworks displays on the 4th of July was predictive of attendance at the Fall Festival held in October. She gathered the following data to test her suspicion. 4th of July ($000) Fall Festival (000) 4th of July ($000) Fall Festival (000) 10.9 9.7 9.0 9.5 8.5 6.4 10.5 9.7 12.1 12.3 7.5 6.6 9.0 10.2 10.0 10.1 5.5 6.0 6.0 6.1 12.0 11.1 12.4...
The director of special events for Sun City believed that the amount of money spent on...
The director of special events for Sun City believed that the amount of money spent on fireworks displays on the 4th of July was predictive of attendance at the Fall Festival held in October. She gathered the following data to test her suspicion. 4th of July ($000) Fall Festival (000) 4th of July ($000) Fall Festival (000) 12.6 10.2 9.0 9.5 8.5 6.4 12.8 12.7 10.2 11.7 7.5 6.6 9.0 10.2 10.0 10.1 5.5 6.0 6.0 6.1 12.0 11.1 11.4...
The director of special events for Sun City believed that the amount of money spent on...
The director of special events for Sun City believed that the amount of money spent on fireworks displays on the 4th of July was predictive of attendance at the Fall Festival held in October. She gathered the following data to test her suspicion. 4th of July ($000) Fall Festival (000) 4th of July ($000) Fall Festival (000) 10.9 9.7 9.0 9.5 8.5 6.4 10.5 9.7 12.1 12.3 7.5 6.6 9.0 10.2 10.0 10.1 5.5 6.0 6.0 6.1 12.0 11.1 12.4...
The number of hours spent per week on household chores by all adults has a mean...
The number of hours spent per week on household chores by all adults has a mean of 28.6 hours and a standard deviation of 8.8 hours. The probability, rounded to four decimal places, that the mean number of hours spent per week on household chores by a sample of 64 adults will be more than 26.75 is:
Assume that the average amount of money spent on video games is normally distributed with a...
Assume that the average amount of money spent on video games is normally distributed with a population standard deviation of 12.42 AED. Your friend wants to estimate the expenditure on video games, takes a sample of 10 students, and finds that the mean expenditure is 50.77 AED. a. Estimate with 99% confidence the average amount of expenditure on video games. b. How many students you need to sample in order to be within 5 AED, with 95% confidence? c. Assume...
1. The mean amount of money that U.S adults spend on food in a week is...
1. The mean amount of money that U.S adults spend on food in a week is $140 and standard deviation is $42. Random samples of size 40 are drawn from this population and the mean of each sample is determined. a. Find the mean and standard deviation of the sampling distribution of sample means. b. What is the probability that the mean amount spent on food in a week for a certain sample is more than $143? c. What is...
The average number of hours slept per week for college seniors is believed to be about...
The average number of hours slept per week for college seniors is believed to be about 60 hours. A researcher asks 10 random seniors at a University how many hours they sleep per week. Based on the following results, should the researcher conclude that college seniors do or do not sleep an average of 60 hours per week? Data (average number of hours slept per week): 70; 45; 55; 60; 65; 55; 55; 60; 50; 55 A: What is the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT