Question

Students compared drive-through times at a couple of fast food restaurants in their town to see...

Students compared drive-through times at a couple of fast food restaurants in their town to see if Wendy’s is faster than Hot n’ Now. They kept track of the time (in seconds) for people to go through the drive-through at Wendy'sand Hot 'n Now from the time of ordering until they exited the pick-up window during lunch time. The results are shown below.

Sample size

Sample mean

Sample SD

Wendy’s

27

93.7

46.7

Hot n’ Now

29

203

89.6

1.Write down the null and alternative hypothesis using symbols.

2.Calculate a theory-based t-statistic to test whether the average drive-through time for Wendy’s is faster than that of Hot n’ Now.

3.Based on the t-statistic, what can we conclude?

4.What is the type of error possible in this situation.

5.Construct a 95% CI for the difference in the average drive-through times between Wendy’s and Hot n’ Now. Interpret this interval.

Homework Answers

Answer #1

Ans:

1)

2)

Test statistic:

t=(93.7-203)/sqrt((46.7^2/27)+(89.6^2/29))

t=-5.78

df=27-1=26

p-value=tdist(5.78,26,1)=0.0000

c)As,p-value<0.05,Reject the null hypothesis.

There is sufficient evidence to conclude that Wendy’s is faster than Hot n’ Now.

d)as we rejected null hypothesis,we could make type I error.

e)t*=tinv(0.05,26)=2.056

Margin of error=2.056*sqrt((46.7^2/27)+(89.6^2/29))=38.9

Point estimate=93.7-203=-109.3

lower limit=-109.3-38.9=-148.2

upper limit=-109.3+38.9=-70.4

We are 95% confident that average difference in drive through times lies between -148.2 and -70.4

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 trade magazine routinely checks the​ drive-through service times of​ fast-food restaurants. An 80​% confidence interval...
A trade magazine routinely checks the​ drive-through service times of​ fast-food restaurants. An 80​% confidence interval that results from examining 586 customers in one​ fast-food chain's​ drive-through has a lower bound of 165.7 seconds and an upper bound of 168.9 seconds. What does this​ mean? one can be ___% confident that the mean drive through service time of this fast food chain is between ___ seconds and ___ seconds.
Sparagowski & Associates conducted a study of service times at the drive-up window of fast-food restaurants....
Sparagowski & Associates conducted a study of service times at the drive-up window of fast-food restaurants. The average service time at McDonald's restaurants was 2.97 minutes. Service time such as these frequently follow an exponential distribution. for x ³ 0 P( x <= x0 ) = 1 - e-x0/mu for x >= 0 e = 2.718282 µ = 2.97 minutes a) What is the probability that a customer's service time is between 2 and 3 minutes? Recall that Lambda is...
The mean waiting time at the​ drive-through of a​ fast-food restaurant from the time an order...
The mean waiting time at the​ drive-through of a​ fast-food restaurant from the time an order is placed to the time the order is received is 85.8 seconds. A manager devises a new​drive-through system that he believes will decrease wait time. As a​ test, he initiates the new system at his restaurant and measures the wait time for 10 randomly selected orders. The wait times are provided in the table to the right. Complete parts​ (a) and​ (b) below. 101.1...
A. The mean waiting time at the drive-through of a fast-food restaurant from the time an...
A. The mean waiting time at the drive-through of a fast-food restaurant from the time an order is placed to the time the order is received is 84.3 seconds. A manager devises a new drive-through system that he believes will decrease wait time. He initiates the new system at his restaurant and measures the wait time for ten randomly selected orders. The wait times are provided in the table below. Based on the given data, is the new system effective?...
The mean waiting time at the​ drive-through of a​ fast-food restaurant from the time an order...
The mean waiting time at the​ drive-through of a​ fast-food restaurant from the time an order is placed to the time the order is received is 87.9 seconds. A manager devises a new​ drive-through system that he believes will decrease wait time. As a​ test, he initiates the new system at his restaurant and measures the wait time for 10 randomly selected orders. The wait times are provided in the table to the right. Complete parts​ (a) and​ (b) below....
The mean waiting time at the​ drive-through of a​ fast-food restaurant from the time an order...
The mean waiting time at the​ drive-through of a​ fast-food restaurant from the time an order is placed to the time the order is received is 85.3 seconds. A manager devises a new​ drive-through system that she she believes will decrease wait time. As a​ test, she she initiates the new system at her her restaurant and measures the wait time for 10 randomly selected orders. The wait times are provided in the table to the right. Complete parts​ (a)...
The mean waiting time at the drive-through of a fast-food restaurant from the time an order...
The mean waiting time at the drive-through of a fast-food restaurant from the time an order is placed to the time the order is received is 84.2 seconds. A manager devises a new drive-through system that she believes will decrease wait time. As a test, she initiates the new system at her restaurant and measures the wait time for 10 randomly selected orders. The wait times are provided in the table to the right. Complete parts (a) and (b) below....
The mean waiting time at the​ drive-through of a​ fast-food restaurant from the time an order...
The mean waiting time at the​ drive-through of a​ fast-food restaurant from the time an order is placed to the time the order is received is 85.5 85.5 seconds. A manager devises a new​ drive-through system that she she believes will decrease wait time. As a​ test, she she initiates the new system at her her restaurant and measures the wait time for 10 10 randomly selected orders. The wait times are provided in the table to the right. Complete...
The mean waiting time at the​ drive-through of a​ fast-food restaurant from the time an order...
The mean waiting time at the​ drive-through of a​ fast-food restaurant from the time an order is placed to the time the order is received is 87.6 seconds. A manager devises a new​ drive-through system that he believes will decrease wait time. As a​ test, he initiates the new system at his restaurant and measures the wait time for 10 randomly selected orders. The wait times are provided in the table to the right. Complete parts​ (a) and​ (b) below....
A magazine assessed 1855 drive-thru visits at quick-service restaurants. One benchmark that was measured was the...
A magazine assessed 1855 drive-thru visits at quick-service restaurants. One benchmark that was measured was the service time. A summary of the results (in seconds) for two of the chains is shown below. Chain n x s Taco Bell 308 158.03 33.7 McDonald's 317 189.49 41.3 (a) To estimate the difference in service times, what procedure is appropriate? Paired t confidence interval for a mean difference2-sample t test for a difference in means    Paired t test for a mean difference2-sample z...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT