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(Round all intermediate calculations to at least 4 decimal places.) Consider the

ID: 3319606 • Letter: #

Question

(Round all intermediate calculations to at least 4 decimal places.) Consider the following hypotheses: Ho. = 16 The population is normally distributed. A sample produces the following observations: 21 11 19 18 19 12 13 Use the p-value approach to conduct the test at a 5% level of significance. Use Table 2. EClick here for the Excel Data File a. Find the mean and the standard deviation. (Round your answer to 2 decimal places.) 16.14 Mean Standard deviation 3.71 8 b. Calculate the value of the test statistic. (Round your answer to 2 decimal places.)

Explanation / Answer

We use Minitab to solve the question

Outout of minitab

One-Sample T: Sample

Test of = 16 vs 16


Variable N Mean StDev SE Mean 95% CI T P
Sample 7 16.14 4.02 1.52 (12.43, 19.86) 0.09 0.928

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Standard Deviation - 4.02

Test Statistic - 0.09

- 0.928 < p-value < 0.928

conclusion -

Pvalue > alpha , do not reject H0

Do not Reject Ho since p-value is greater / larger than alpha.