B) what is the conclusion? Reject or do not reject HO. C) in context of the prob
ID: 2935045 • Letter: B
Question
B) what is the conclusion? Reject or do not reject HO. C) in context of the problem , what does your conclusion mean? zzes Quiz 10 Quiz 10 tarted: Oct 29 at 4:36pm Quiz Instructions Answer the following questions. DQuestion1 2 pts Use the following to answer all the questions for this quiz. For the United States the mean monthly Internet bill is $32. A sample of 30 households in New York showed a sample mean of $35. Use a population standard deviation of $6. We want to test whether the mean monthly Internet bill in New York is higher than the national mean of $32. We'll use O.05 as the level of significance. What is the alternative hypothesis being tested? Question 2 2 pts Compute the test statistic. Give your answer to 2 decimal placesExplanation / Answer
Solution:-
State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: < 32
Alternative hypothesis: > 32
Note that these hypotheses constitute a one-tailed test. The null hypothesis will be rejected if the sample mean is too small.
Formulate an analysis plan. For this analysis, the significance level is 0.05. The test method is a one-sample t-test.
Analyze sample data. Using sample data, we compute the standard error (SE), degrees of freedom (DF), and the t statistic test statistic (t).
SE = s / sqrt(n)
SE = 1.095
DF = n - 1 = 30 - 1
D.F = 29
t = (x - ) / SE
t = 2.74
where s is the standard deviation of the sample, x is the sample mean, is the hypothesized population mean, and n is the sample size.
Here is the logic of the analysis: Given the alternative hypothesis, we want to know whether the observed sample mean is small enough to cause us to reject the null hypothesis.
The observed sample mean produced a t statistic test statistic of 2.74.
A) Thus the P-value in this analysis is 0.0052.
B) Interpret results. Since the P-value (0.0052) is less than the significance level (0.05), we have to reject the null hypothesis.
C) From the above test we have sufficient evidence in the favor of the claim that mean monthly internet bill in New york is higher than the national mean of 32.
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