Question

You wish to test the following claim (H1H1) at a significance level of α=0.01α=0.01.       Ho:μ=82.5Ho:μ=82.5       H1:μ≠82.5H1:μ≠82.5...

You wish to test the following claim (H1H1) at a significance level of α=0.01α=0.01.

      Ho:μ=82.5Ho:μ=82.5
      H1:μ≠82.5H1:μ≠82.5

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=449n=449 with mean M=81.7M=81.7 and a standard deviation of SD=10.7SD=10.7.

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 is...

  • less than (or equal to) αα
  • greater than αα



This 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 82.5.
  • There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 82.5.
  • The sample data support the claim that the population mean is not equal to 82.5.
  • There is not sufficient sample evidence to support the claim that the population mean is not equal to 82.5.

Homework Answers

Answer #1

Solution :

The null and alternative hypothesis are

H0 : = 82.5 ......... Null hypothesis

Ha :    82.5 .......... Alternative hypothesis

Here, n = 449, = 81.7, s = 10.7

The test statistic t is,

t =  

= [81.7 - 82.5]/[10.7 /449]

= -1.584

The value of the test​ statistic t = -1.584

Now ,

d.f. = n - 1 = 449 - 1 = 448

sign in Ha indicates that the test is TWO TAILED.

t = -1.584

So , using calculator ,

p value = 0.1138

Since,

p value is greater than the significance level 0.01 .

Decision: Fail to Reject the null hypothesis H0

Conclusion :

There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 82.5.

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 (H1H1) at a significance level of α=0.01α=0.01.       Ho:μ=71.3Ho:μ=71.3       H1:μ>71.3H1:μ>71.3...
You wish to test the following claim (H1H1) at a significance level of α=0.01α=0.01.       Ho:μ=71.3Ho:μ=71.3       H1:μ>71.3H1:μ>71.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=33n=33 with mean M=78.3M=78.3 and a standard deviation of SD=18.3SD=18.3. 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 (H1H1) at a significance level of α=0.01α=0.01.       Ho:μ=79.5Ho:μ=79.5       H1:μ<79.5H1:μ<79.5...
You wish to test the following claim (H1H1) at a significance level of α=0.01α=0.01.       Ho:μ=79.5Ho:μ=79.5       H1:μ<79.5H1:μ<79.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=637n=637 with mean ¯x=79x¯=79and a standard deviation of s=10.3s=10.3. 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 (H1H1) at a significance level of α=0.01α=0.01.       Ho:μ=65.1Ho:μ=65.1       H1:μ>65.1H1:μ>65.1...
You wish to test the following claim (H1H1) at a significance level of α=0.01α=0.01.       Ho:μ=65.1Ho:μ=65.1       H1:μ>65.1H1:μ>65.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=740n=740 with mean M=66.1M=66.1 and a standard deviation of SD=17.1SD=17.1. 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 (H1H1) at a significance level of α=0.002α=0.002.       Ho:μ=63.9Ho:μ=63.9       H1:μ<63.9H1:μ<63.9...
You wish to test the following claim (H1H1) at a significance level of α=0.002α=0.002.       Ho:μ=63.9Ho:μ=63.9       H1:μ<63.9H1:μ<63.9 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 82.5 57.8 79.7 47.4 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 is......
You wish to test the following claim (H1H1) at a significance level of α=0.01α=0.01.       Ho:μ=69.9Ho:μ=69.9       H1:μ>69.9H1:μ>69.9...
You wish to test the following claim (H1H1) at a significance level of α=0.01α=0.01.       Ho:μ=69.9Ho:μ=69.9       H1:μ>69.9H1:μ>69.9 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 77.2 76.4 66.7 68.1 66 69.2 81.3 76.2 74.9 70.9 78.3 70.2 76.2 73.2 68.8 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?...
You wish to test the following claim (H1H1) at a significance level of α=0.002α=0.002.       Ho:μ=89.3Ho:μ=89.3       H1:μ≠89.3H1:μ≠89.3...
You wish to test the following claim (H1H1) at a significance level of α=0.002α=0.002.       Ho:μ=89.3Ho:μ=89.3       H1:μ≠89.3H1:μ≠89.3 You believe the population is normally distributed and you know the standard deviation is σ=13.2σ=13.2. You obtain a sample mean of ¯x=94x¯=94 for a sample of size n=75n=75. 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 (H1H1) at a significance level of α=0.002α=0.002.       Ho:μ=89.3Ho:μ=89.3       H1:μ≠89.3H1:μ≠89.3...
You wish to test the following claim (H1H1) at a significance level of α=0.002α=0.002.       Ho:μ=89.3Ho:μ=89.3       H1:μ≠89.3H1:μ≠89.3 You believe the population is normally distributed and you know the standard deviation is σ=13.2σ=13.2. You obtain a sample mean of ¯x=94x¯=94 for a sample of size n=75n=75. 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 (H1H1) at a significance level of α=0.05α=0.05.       Ho:μ=73.9Ho:μ=73.9       H1:μ≠73.9H1:μ≠73.9...
You wish to test the following claim (H1H1) at a significance level of α=0.05α=0.05.       Ho:μ=73.9Ho:μ=73.9       H1:μ≠73.9H1:μ≠73.9 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 86 74.3 81.7 80.5 90.3 75.7 79.7 85.7 69.9 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...
You wish to test the following claim (H1H1) at a significance level of α=0.002α=0.002.       Ho:μ=51.3Ho:μ=51.3       H1:μ<51.3H1:μ<51.3...
You wish to test the following claim (H1H1) at a significance level of α=0.002α=0.002.       Ho:μ=51.3Ho:μ=51.3       H1:μ<51.3H1:μ<51.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=627n=627 with mean ¯x=49.8x¯=49.8 and a standard deviation of s=8.9s=8.9. 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 (H1H1) at a significance level of α=0.05α=0.05.       Ho:μ=89.5Ho:μ=89.5       H1:μ>89.5H1:μ>89.5...
You wish to test the following claim (H1H1) at a significance level of α=0.05α=0.05.       Ho:μ=89.5Ho:μ=89.5       H1:μ>89.5H1:μ>89.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=61n=61 with mean M=92.6M=92.6 and a standard deviation of SD=12.3SD=12.3. 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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT