Question
Asked Dec 16, 2019
12 views
A restaurant claims the customers receive their food in less than 16 minutes. A random sample of 39 customers finds a mean wait time for food to be 15.8 minutes with a population standard deviation of 4.9 minutes. At α = 0.04, can you support the organizations’ claim using the test statistic?
 
check_circle

Expert Answer

Step 1

From the given information, the restaurant claims the customers receive their food in less than 16 minutes.

 

Null Hypothesis:

 

H0: µ=16.

 

Alternative Hypothesis:

 

Ha: µ<16.

 

Here, the alternative hypothesis is ‘less than’ case. Hence, the tail of the test is left tail test.

 

The value of test statistic is  ̵ 0.26 and it is obtained below:

 

From the given information, the sample mean is 15.8 and the population standard deviation is 4.9. The sample size is 39.

help_outline

Image Transcriptionclose

х — и Z score: 15.8 –16 4.9 39 = -0.26

fullscreen
Step 2

The critical value is  ̶ 1.75 and it is calculated below:

 

From the given information, the level of significance is 0.04.

The critical va...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: 3. Test the claim that Statistics students have a different IQ now than when they began the class- Y...

A: Null Hypothesis:There is no significant difference in mean IQ scores.Alternative Hypothesis:There is...

question_answer

Q: Use the given confidence interval to find the margin of error and the sample proportion. (0.719,0.74...

A: The margin of error and the sample proportion are calculated by using the given confidence interval ...

question_answer

Q: A system consists of two components whose lifetimes (in years) X1, X2 are inde-pendent and identical...

A: a) The expected value of x can be calculated as follows:

question_answer

Q: For the given​ data, construct a frequency distribution and frequency histogram of the data using fi...

A: Frequency distribution can be made byWidth of the interval is calculated by 

question_answer

Q: Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the ...

A: Click to see the answer

question_answer

Q: In the following problem, check that it is appropriate to use the normal approximation to the binomi...

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are sol...

question_answer

Q: Ecercise 08.17 algorithmic The international air transport association surveys business travelors to...

A: From the given information, there are 50 data values.The mean of the data set is 6 and it is obtaine...

question_answer

Q: Airline passengers arrive randomly and independently at the passenger-screening facility at a major ...

A: Given that,Airline passengers arrive randomly and independently.The mean arrival rate is 10 passenge...

question_answer

Q: 79% of U.S. adults think that political correctness is a problem in America today. You randomly sele...

A: Given information:Population proportion = 0.79Sample size (n) = 6