Question

A manufacturing company is comparing the time needed to build a product using two different assembly...

A manufacturing company is comparing the time needed to build a product using two different assembly methods, A and B. Sample data compiled from each method appears below. Using the 5% significance level, test the claim that the mean time needed for Method A is less than that of Method B (claim: μA < μB) by choosing the correct answer below.

  • Test statistic: ‒2.64, Critical value(s): ‒1.645, Conclusion: The data support the claim that the mean time for Method A is less than Method B.

  • Test statistic: 2.64, Critical value(s): 1.645, Conclusion: The data do not allow rejection of the claim that the mean time for Method A is less than Method B.

  • Test statistic: 1.28, Critical value(s): ‒1.645, Conclusion: The data do not support the claim that the mean time for Method A is less than Method B.

  • Test statistic: ‒2.64, Critical value(s): ±1.96, Conclusion: The data allows rejection of the claim that the mean time for Method A is less than Method B.

Sample Size Mean Time Population Standard Deviation
Method A 32 units 6.54 minutes 0.9 minutes
Method B 38 units 7.17 minutes 1.1 minutes
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

The statistical software output for this problem is :

Critical value = -1.645

Test statistics = -2.64

Test statistic: ‒2.64, Critical value(s): ‒1.645, Conclusion: The data support the claim that the mean time for Method A is less than Method B.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Assembly Time: In a sample of 40 adults, the mean assembly time for a child's swing...
Assembly Time: In a sample of 40 adults, the mean assembly time for a child's swing set was 1.77 hours with a standard deviation of 0.76 hours. The makers of the swing set claim the average assembly time is less than 2 hours. Test their claim at the 0.01 significance level. (a) What type of test is this? This is a left-tailed test. This is a two-tailed test.     This is a right-tailed test. (b) What is the test statistic? Round...
A restaurant claims the customers receive their food in less than 16 minutes. A random sample...
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 standard deviation of 4.9 minutes. At α = 0.04, what type of test is this and can you support the organizations’ claim using the test statistic? Claim is the alternative, reject the null so support the claim as test statistic (-0.25) is in the rejection region defined by...
In a sample of 45 adults, the mean assembly time for a child's swing set was...
In a sample of 45 adults, the mean assembly time for a child's swing set was 1.76 hours with a standard deviation of 0.79 hours. The makers of the swing set claim the average assembly time is less than 2 hours. Test their claim at the 0.01 significance level. (a) What type of test is this? This is a right-tailed test. This is a two-tailed test.     This is a left-tailed test. (b) What is the test statistic? Round your answer...
In a sample of 35 adults, the mean assembly time for a child's swing set was...
In a sample of 35 adults, the mean assembly time for a child's swing set was 1.76 hours with a standard deviation of 0.72 hours. The makers of the swing set claim the average assembly time is less than 2 hours. Test their claim at the 0.01 significance level. (a) What type of test is this? This is a two-tailed test. This is a left-tailed test. This is a right-tailed test. (b) What is the test statistic? Round your answer...
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb...
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 720 hours. A random sample of 51 light bulbs as a mean of 712.8 hours with a population standard deviation of 62 hours. At an α=0.05, can you support the company’s claim using the test statistic? @See text pages 368-370 A. Claim is the null, fail to reject the null and support claim as test statistic (-0.83) is not in the...
You wish to test the following claim ( H 1 ) at a significance level of...
You wish to test the following claim ( H 1 ) at a significance level of α = 0.005 . H o : μ = 78.7 H 1 : μ < 78.7 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 7 with a mean of ¯ x = 74.8 and a standard deviation of S D = 5.4 . What is the critical value for...
A market analyst wants to compare the grocery bill between two states, Georgia and Alabama. She...
A market analyst wants to compare the grocery bill between two states, Georgia and Alabama. She asked her staff to visit 35 random supermarket locations in Georgia and 32 random supermarket locations in Alabama. The results are given below. Using the 10% significance level, test the claim that the average grocery bill is higher in Georgia than in Alabama (claim: μG > μA) by choosing the correct answer choice below. Sample Size Average Grocery Bill Population Standard Deviation Georgia (G)...
A market analyst wants to compare the grocery bill between two states, Georgia and Alabama. She...
A market analyst wants to compare the grocery bill between two states, Georgia and Alabama. She asked her staff to visit 35 random supermarket locations in Georgia and 32 random supermarket locations in Alabama. The results are given below. Using the 10% significance level, test the claim that the average grocery bill is higher in Georgia than in Alabama (claim: μG > μA) by choosing the correct answer choice below. Sample Size Average Grocery Bill Population Standard Deviation Georgia (G)...
You wish to test the following claim (Ha) at a significance level of α=0.002α=0.002.       Ho:μ=57.9       Ha:μ<57.9...
You wish to test the following claim (Ha) at a significance level of α=0.002α=0.002.       Ho:μ=57.9       Ha:μ<57.9 You believe the population is normally distributed and you know the standard deviation is σ=12.7σ=12.7. You obtain a sample mean of M=54.2M=54.2 for a sample of size n=69n=69. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =...
You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001.       Ho:μ=67.9Ho:μ=67.9       Ha:μ<67.9Ha:μ<67.9...
You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001.       Ho:μ=67.9Ho:μ=67.9       Ha:μ<67.9Ha:μ<67.9 You believe the population is normally distributed and you know the standard deviation is σ=10.2σ=10.2. You obtain a sample mean of M=64.7M=64.7 for a sample of size n=36n=36. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT