Question

A researcher wants to know if the news station a person watches is a factor in the amount of time (in minutes) that they watch. The table below shows data that was collected from a survey.

Local	FOX	CNN
56	50	64
20	43	67
25	30	23
61	62	24
53	51	63
43	16	38
35	61	42
23

Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.01α=0.01.

H0: μ1=μ2=μ3H0: μ1=μ2=μ3
H1:H1: At least two of the means differ from each other.

1. For this study, we should use Select an answer TInterval 2-SampTTest T-Test ANOVA 1-PropZInt 2-SampTInt 1-PropZTest χ²-Test 2-PropZInt 2-PropZTest χ²GOF-Test
2. The test-statistic for this data =  (Please show your answer to 3 decimal places.)
3. The p-value for this sample =  (Please show your answer to 4 decimal places.)
4. The p-value is Select an answer less than (or equal to) alpha greater than alpha  αα
5. Base on this, we should Select an answer accept the null hypothesis fail to reject the null hypothesis reject the null hypothesis  hypothesis
6. As such, the final conclusion is that...
   • There is insufficient evidence to support the claim that station is a factor in the amount of time people watch the news.
   • There is sufficient evidence to support the claim that station is a factor in the amount of time people watch the news.

Answer 1

----------------------------------------------------------------------------------------------------------------------------------