Question

You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.       Ho:μ=53.7Ho:μ=53.7       Ha:μ≠53.7Ha:μ≠53.7...

You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.

      Ho:μ=53.7Ho:μ=53.7
      Ha:μ≠53.7Ha:μ≠53.7

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=10n=10 with a mean of ¯x=50.7x¯=50.7 and a standard deviation of s=8.7s=8.7.

What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value = ±±

What is the standardized test statistic for this sample? (Report answer accurate to three decimal places.)
standardized test statistic =

The standardized test statistic is...

in the critical region

not in the critical region



This standardized test statistic leads to a decision to...

reject the null

accept the null

fail to reject the null



As such, the final conclusion is that...

There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 53.7.

There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 53.7.

The sample data support the claim that the population mean is not equal to 53.7.

There is not sufficient sample evidence to support the claim that the population mean is not equal to 53.7.

Homework Answers

Answer #1

Solution :

Given that ,

= 50.7

= 53.7

s = 8.7

n = 10

df = n - 1 = 10 - 1 = 9

= 0.10

/ 2 = 0.10 / 2 = 0.05

t /2,df = t0.05,9 = 1.833

Critical value = 1.833

Test statistic = t = ( - ) / s / n

= (50.7 - 53.7) / 8.7 / 10 = -1.090

Test statistic = -1.090

Test statistic > critical value

The standardized test statistic is in the critical region .

Reject the null hypothesis .

There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 53.7.

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
You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.       Ho:μ=71.9Ho:μ=71.9       Ha:μ≠71.9Ha:μ≠71.9...
You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.       Ho:μ=71.9Ho:μ=71.9       Ha:μ≠71.9Ha:μ≠71.9 You believe the population is normally distributed and you know the standard deviation is σ=9.3σ=9.3. You obtain a sample mean of M=74.5M=74.5 for a sample of size n=33n=33. 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=0.10α=0.10.       Ho:μ=55.7Ho:μ=55.7       Ha:μ≠55.7Ha:μ≠55.7...
You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.       Ho:μ=55.7Ho:μ=55.7       Ha:μ≠55.7Ha:μ≠55.7 You believe the population is normally distributed and you know the standard deviation is σ=13.5σ=13.5. You obtain a sample mean of ¯x=60.9x¯=60.9 for a sample of size n=56n=56. What is the test statistic for this sample? test statistic =  (Report answer accurate to 3 decimal places.) What is the p-value for this sample? p-value =  Use Technology (Report answer accurate to 4 decimal places.) The p-value...
You wish to test the following claim (HaHa) at a significance level of α=0.20α=0.20.       Ho:μ=56.6Ho:μ=56.6       Ha:μ≠56.6Ha:μ≠56.6...
You wish to test the following claim (HaHa) at a significance level of α=0.20α=0.20.       Ho:μ=56.6Ho:μ=56.6       Ha:μ≠56.6Ha:μ≠56.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=22n=22 with a mean of ¯x=63.2x¯=63.2 and a standard deviation of s=10.7s=10.7. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = ±± What is the standardized test statistic for this sample? (Report answer accurate...
You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.       Ho:μ=77.7Ho:μ=77.7       Ha:μ<77.7Ha:μ<77.7...
You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.       Ho:μ=77.7Ho:μ=77.7       Ha:μ<77.7Ha:μ<77.7 You believe the population is normally distributed and you know the standard deviation is σ=16.5σ=16.5. You obtain a sample mean of M=74.8M=74.8 for a sample of size n=72n=72. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value...
You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.       Ho:μ=57.6Ho:μ=57.6       Ha:μ≠57.6Ha:μ≠57.6...
You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.       Ho:μ=57.6Ho:μ=57.6       Ha:μ≠57.6Ha:μ≠57.6 You believe the population is normally distributed and you know the standard deviation is σ=16.7σ=16.7. You obtain a sample mean of ¯x=53x¯=53for a sample of size n=52n=52. What is the critical value for this test? (Report answer accurate to two decimal places.) critical value = What is the standardized test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =...
You wish to test the following claim (H1H1) at a significance level of α=0.10α=0.10.       Ho:μ=79.9Ho:μ=79.9       H1:μ≠79.9H1:μ≠79.9...
You wish to test the following claim (H1H1) at a significance level of α=0.10α=0.10.       Ho:μ=79.9Ho:μ=79.9       H1:μ≠79.9H1:μ≠79.9 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=331n=331 with a mean of M=80.6M=80.6 and a standard deviation of SD=8.2SD=8.2. 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...
You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.       Ho:μ=80.9Ho:μ=80.9       Ha:μ<80.9Ha:μ<80.9...
You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.       Ho:μ=80.9Ho:μ=80.9       Ha:μ<80.9Ha:μ<80.9 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=4n=4 with mean M=72.1M=72.1and a standard deviation of SD=8.8SD=8.8. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = ____ What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value...
You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.       Ho:μ=61.2Ho:μ=61.2       Ha:μ>61.2Ha:μ>61.2...
You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.       Ho:μ=61.2Ho:μ=61.2       Ha:μ>61.2Ha:μ>61.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=125n=125 with mean ¯x=66x¯=66 and a standard deviation of s=14.1s=14.1. What is the test statistic for this sample? test statistic =  (Report answer accurate to 3 decimal places.) What is the p-value for this sample? p-value =  (Report answer accurate to 4 decimal places.) The...
You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.       Ho:μ=88.5Ho:μ=88.5       Ha:μ≠88.5Ha:μ≠88.5...
You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.       Ho:μ=88.5Ho:μ=88.5       Ha:μ≠88.5Ha:μ≠88.5 You believe the population is normally distributed and you know the standard deviation is σ=12.6σ=12.6. You obtain a sample mean of M=83M=83 for a sample of size n=53n=53. 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=0.05α=0.05.       Ho:μ≤70.8Ho:μ≤70.8       Ha:μ>70.8Ha:μ>70.8...
You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.       Ho:μ≤70.8Ho:μ≤70.8       Ha:μ>70.8Ha:μ>70.8 You believe the population is normally distributed and you know the standard deviation is σ=13.6σ=13.6. You obtain a sample mean of ¯x=74.5x¯=74.5 for a sample of size n=31n=31. What is the critical value for this test? (Report answer accurate to two decimal places.) critical value = What is the standardized test statistic for this sample? (Report answer accurate to three decimal places.) test statistic...