You wish to test the following claim (H1H1) at a significance level of α=0.01α=0.01. Ho:μ=74.4Ho:μ=74.4 H1:μ≠74.4H1:μ≠74.4...

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

Ho:μ=74.4Ho:μ=74.4
H1:μ≠74.4H1:μ≠74.4

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=273n=273 with a mean of M=77.4M=77.4 and a standard deviation of SD=16.7SD=16.7.

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 =

The test statistic is...

in the critical region
not in the critical region

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 74.4.
There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 74.4.
The sample data support the claim that the population mean is not equal to 74.4.
There is not sufficient sample evidence to support the claim that the population mean is not equal to 74.4.

Expert Solution

The test statistic is in the critical region

This test statistic leads to a decision 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 74.4.

orchestra answered 1 year ago

You wish to test the following claim (H1) at a significance level of α=0.01. Ho:μ=50.6 H1:μ<50.6...

You wish to test the following claim (H1) at a significance level of α=0.01. Ho:μ=50.6 H1:μ<50.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 42.1 26.9 40.1 40.6 28.7 26.4 7.8 22.9 51.2 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 three decimal...

A) You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ=62.3Ho:μ=62.3...

A) You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ=62.3Ho:μ=62.3 Ha:μ<62.3Ha:μ<62.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=36n=36 with a mean of M=60.1M=60.1 and a standard deviation of SD=14.5SD=14.5. 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=0.01α=0.01. Ho:μ=66.2Ho:μ=66.2...

You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ=66.2Ho:μ=66.2 Ha:μ>66.2Ha:μ>66.2 You believe the population is normally distributed and you know the standard deviation is σ=11.3σ=11.3. You obtain a sample mean of M=69.2M=69.2 for a sample of size n=27n=27. 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=0.10α=0.10. Ho:μ=72.7Ho:μ=72.7 H1:μ>72.7H1:μ>72.7...

You wish to test the following claim (H1H1) at a significance level of α=0.10α=0.10. Ho:μ=72.7Ho:μ=72.7 H1:μ>72.7H1:μ>72.7 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=104n=104 with a mean of M=74.1M=74.1 and a standard deviation of SD=6.9SD=6.9. 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=57.7Ho:μ=57.7 H1:μ≠57.7H1:μ≠57.7...

You wish to test the following claim (H1H1) at a significance level of α=0.002α=0.002. Ho:μ=57.7Ho:μ=57.7 H1:μ≠57.7H1:μ≠57.7 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=98n=98 with mean M=60.9M=60.9 and a standard deviation of SD=7.7SD=7.7. 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...

You wish to test the following claim (H1H1) at a significance level of α=0.002α=0.002. Ho:μ=75.1Ho:μ=75.1 H1:μ>75.1H1:μ>75.1...

You wish to test the following claim (H1H1) at a significance level of α=0.002α=0.002. Ho:μ=75.1Ho:μ=75.1 H1:μ>75.1H1:μ>75.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 77 87.3 81.7 96.8 113.2 82.2 81.2 84.6 4a. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = 4b. 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=0.001α=0.001. Ho:μ=56.7Ho:μ=56.7 H1:μ>56.7H1:μ>56.7...

You wish to test the following claim (H1H1) at a significance level of α=0.001α=0.001. Ho:μ=56.7Ho:μ=56.7 H1:μ>56.7H1:μ>56.7 You believe the population is normally distributed and you know the standard deviation is σ=7.5σ=7.5. You obtain a sample mean of ¯x=58.6x¯=58.6 for a sample of size n=66n=66. 3a. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = 3b. 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=0.01α=0.01. For the...

You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0Ho:μd=0 Ha:μd<0Ha:μd<0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: pre-test post-test 51 -25.8 49.5 51.4 56.5 110.7 35.5 22.7 45.2 67.4 46.8 27.1 41 10...

You wish to test the following claim (H1) at a significance level of α=0.02. Ho:μ=52.5 H1:μ<52.5...

You wish to test the following claim (H1) at a significance level of α=0.02. Ho:μ=52.5 H1:μ<52.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 12.7 27.2 1.3 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 = The p-value is... less...

You wish to test the following claim (H1H1) at a significance level of α=0.01 Ho:p1=p2Ho:p1=p2 H1:p1...

You wish to test the following claim (H1H1) at a significance level of α=0.01 Ho:p1=p2Ho:p1=p2 H1:p1 You obtain 52.4% successes in a sample of size n1=563 from the first population. You obtain 53.8% successes in a sample of size n2=797 from the second population. 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...

Question