Question

1-) A national grocer’s magazine reports the typical shopper spends 9.5 minutes in line waiting to...

1-) A national grocer’s magazine reports the typical shopper spends 9.5 minutes in line waiting to check out. A sample of 27 shoppers at the local Farmer Jack’s showed a mean of 9.1 minutes with a standard deviation of 2.2 minutes.

Is the waiting time at the local Farmer Jack’s less than that reported in the national magazine? Use the 0.010 significance level.

  1. What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

  Reject H0: µ ≥ 9.5 and fail to reject H1: µ < 9.5 when the test statistic is (less than/ greater than/ equal to) ___________ , _______________

b. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

Value of the test statistic ______________

c. What is your decision regarding H0?

  • Reject H0

  • Do not reject H0

Homework Answers

Answer #1

Solution :

= 9.5

=9.1

S =2.2

n = 27

This is the left tailed test .

The null and alternative hypothesis is ,

H0 :   > 9.5

Ha : < 9.5

Test statistic = t

= ( - ) / S / n

= (9.1 -9.5 ) / 2.2 / 27

= −0.945

Test statistic = t =  −0.945

P-value = 0.1767

= 0.01  

P-value >

0.1767 > 0.01

Fail to reject the null hypothesis .

There is not sufficient evidence to claim that the population mean μ is less than 9.5, at the 0.01 significance level.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A national grocer’s magazine reports the typical shopper spends 7 minutes in line waiting to check...
A national grocer’s magazine reports the typical shopper spends 7 minutes in line waiting to check out. A sample of 17 shoppers at the local Farmer Jack’s showed a mean of 6.4 minutes with a standard deviation of 4.3 minutes. Is the waiting time at the local Farmer Jack’s less than that reported in the national magazine? Use the 0.050 significance level. What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to...
A national grocer’s magazine reports the typical shopper spends 8 minutes in line waiting to check...
A national grocer’s magazine reports the typical shopper spends 8 minutes in line waiting to check out. A sample of 18 shoppers at the local Farmer Jack’s showed a mean of 7.1 minutes with a standard deviation of 2.7 minutes. Is the waiting time at the local Farmer Jack’s less than that reported in the national magazine? Use the 0.100 significance level. What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to...
A national grocer’s magazine reports the typical shopper spends eight minutes in line waiting to check...
A national grocer’s magazine reports the typical shopper spends eight minutes in line waiting to check out. A sample of 24 shoppers at the local Farmer Jack’s showed a mean of 7.5 minutes with a standard deviation of 3.2 minutes. Is it reasonable to conclude that the waiting time at the local Farmer Jack’s is less than that reported in the national magazine? Use the 0.05 significance level. Use the information above to solve the following questions: a. What is...
The cost of weddings in the United States has skyrocketed in recent years. As a result,...
The cost of weddings in the United States has skyrocketed in recent years. As a result, many couples are opting to have their weddings in the Caribbean. A Caribbean vacation resort recently advertised in Bride Magazine that the cost of a Caribbean wedding was less than $10,000. Listed below is a total cost in $000 for a sample of 8 Caribbean weddings. At the 0.010 significance level is it reasonable to conclude the mean wedding cost is less than $10,000...
Exercise 10-6 (LO10-4) The waiting time for customers at MacBurger Restaurants follows a normal distribution with...
Exercise 10-6 (LO10-4) The waiting time for customers at MacBurger Restaurants follows a normal distribution with a population standard deviation of 1 minute. At the Warren Road MacBurger, the quality-assurance department sampled 50 customers and found that the mean waiting time was 2.75 minutes. At the 0.05 significance level, can we conclude that the mean waiting time is less than 3 minutes? State the null hypothesis and the alternate hypothesis. State whether the decision rule is true or false: Reject...
The waiting time for customers at MacBurger Restaurants follows a normal distribution with a population standard...
The waiting time for customers at MacBurger Restaurants follows a normal distribution with a population standard deviation of 3 minute. At the Warren Road MacBurger, the quality assurance department sampled 49 customers and found that the mean waiting time was 16.25 minutes. At the 0.05 significance level, can we conclude that the mean waiting time is less than 17 minutes? Use α = 0.05. a. State the null hypothesis and the alternate hypothesis. H0: μ ≥            H1: μ...
The waiting time for customers at MacBurger Restaurants follows a normal distribution with a population standard...
The waiting time for customers at MacBurger Restaurants follows a normal distribution with a population standard deviation of 5 minute. At the Warren Road MacBurger, the quality assurance department sampled 84 customers and found that the mean waiting time was 13.75 minutes. At the 0.05 significance level, can we conclude that the mean waiting time is less than 15 minutes? Use α = 0.05. a. State the null hypothesis and the alternate hypothesis. H0: μ ≥            H1: μ...
The cost of weddings in the United States has skyrocketed in recent years. As a result,...
The cost of weddings in the United States has skyrocketed in recent years. As a result, many couples are opting to have their weddings in the Caribbean. A Caribbean vacation resort recently advertised in Bride Magazine that the cost of a Caribbean wedding was less than $10,000. Listed below is a total cost in $000 for a sample of 8 Caribbean weddings. At the 0.100 significance level is it reasonable to conclude the mean wedding cost is less than $10,000...
An automotive dealer advertised in Auto-Trend Magazine that the cost of a hybrid car was less...
An automotive dealer advertised in Auto-Trend Magazine that the cost of a hybrid car was less than $10,000. Listed below is a total cost in $000 for a sample of 8 hybrid cars. At the .05 significance level, is it reasonable to conclude the mean cost of a hybrid car is less than $10,000? 10.1 9.8 8.8 10.3 9.0 9.7 8.5 8.6 (A) State the null hypothesis and the alternate hypothesis. Use a .05 level of significance. (Enter your answers...
Chicken Delight claims that 96% of its orders are delivered within 10 minutes of the time...
Chicken Delight claims that 96% of its orders are delivered within 10 minutes of the time the order is placed. A sample of 70 orders revealed that 64 were delivered within the promised time. At the 0.01 significance level, can we conclude that less than 96% of the orders are delivered in less than 10 minutes? (a) What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) Reject Ho...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT