Asked by Eliesha Wolverton on Apr 26, 2024
Verified
A random sample of n = 36 observations from a quantitative population produced a mean = 2.5 and a standard deviation s = 0.30. Suppose your research objective is to show that the population mean exceeds 2.4.
Find the standard error of the mean.
______________
Do the data provide sufficient evidence to indicate that > 2.3. Test at = 0.05.
Test statistic = ______________
Critical Value(s) = ______________
Conclusion: ______________
Interpretation: __________________________________________
Calculate the p-value for the test statistic above.
p-value = ______________
Use the p-value to draw a conclusion at the 5% significance level.
Conclusion: ______________
Compare the two conclusions. Are they the same?
______________
Find the critical value of used for rejecting H0.
______________
Calculate = P(accept H0 when = 2.5).
______________
Standard Error
The standard deviation of the sampling distribution of a statistic, often used to measure the accuracy of sample estimates of population parameters.
Test Statistic
A value calculated from sample data used to determine whether to reject the null hypothesis in hypothesis testing.
- Perform the computation of the test statistic utilizing allocated data sets and reach decisions on hypotheses by appraising critical values or p-values.
- Elucidate the outcomes of hypothesis testing in terms relevant to practical use.
- Employ the fundamentals of critical values, significance levels (α), and p-values during the process of hypothesis investigation.
Verified Answer
SD
Sylvia DooleyApr 27, 2024
Final Answer :
0.05; 2.0; 1.645; Reject H0; The population mean exceeds 2.4; 0.0228; Reject H0; Yes; 2.48; 0.3446
Learning Objectives
- Perform the computation of the test statistic utilizing allocated data sets and reach decisions on hypotheses by appraising critical values or p-values.
- Elucidate the outcomes of hypothesis testing in terms relevant to practical use.
- Employ the fundamentals of critical values, significance levels (α), and p-values during the process of hypothesis investigation.
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