Given the following hypothesis: H0 : 10 H1 : > 10 For a random sample of 10 obse
ID: 2934853 • Letter: G
Question
Given the following hypothesis: H0 : 10 H1 : > 10 For a random sample of 10 observations, the sample mean was 13 and the sample standard deviation 3.40. Using the 0.010 significance level: (a) State the decision rule. (Round your answer to 3 decimal places.) Reject H0 if t > (b) Compute the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) Value of the test statistic 2.790 (c) What is your decision regarding the null hypothesis? H0. There is evidence to conclude that the population mean is greater than 10.
Explanation / Answer
The statistical software output for this problem is:
One sample T summary hypothesis test:
: Mean of population
H0 : = 10
HA : > 10
Hypothesis test results:
Hence,
a) Reject Ho if t > 2.821
b) Test statistic = 2.790
c) Decision: Do Not Reject Ho
d) There is not enough evidence to conclude that the population mean is greater than 10.
Mean Sample Mean Std. Err. DF T-Stat P-value 13 1.0751744 9 2.790245 0.0105Related Questions
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