A hypothesis test is conducted with H0:μ=46 and H1:μ≠46 A simple random sample of size n=68n=68 is drawn, with x¯=52, and s=15.   Determine the P-value. (Round to four decimals places.)

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A hypothesis test is conducted with H0:μ=46 and H1:μ≠46 A simple random sample of size n=68n=68 is drawn, with x¯=52, and s=15.

 

Determine the P-value. (Round to four decimals places.)

Expert Solution
Step 1

Null hypothesis:

µ=46.

Alternative hypothesis:

µ≠46.

This is a two-tailed test.

Here, the sample mean, x-bar is 52.

Population mean, µ is 46.

Sample standard deviation, s= 15.

Sample size, n is 68.

The test statistic value can be obtained as follows:

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