SAMPLE 1 Generate one random sample of size n = 15 from X ~ N (65, 10) SAMPLE 2

Question

SAMPLE 1 Generate one random sample of size n = 15 from X ~ N (65, 10)

SAMPLE 2 Generate another random sample of size n = 15 from X ~ N (60, 10)

Hypothesis test for Sample 1 & 2

Hypothesis Testing Hypothesis Testing for Mean using t for Mean using t p-value 0.0002 p-value 0.0961 Null Hypothesis: u 60 Null Hypothesis: u 65 Alternative Hypothesis Not Equal Alternative Hypothesis Not Equal Sample Size: Sample Size: n 15 15 Sample Mean: x Sample Mean: X 59.3384 67.8247 Sample Standard Deviation: S 6.0291 Sample Standard Deviation: S 12.2904 Standard Error: S -L 3.1734 Standard Error: S 1.5567 Look at the p-values you got for these two samples. What do they indicate?

Explanation / Answer

here p value indicate the probabilty of getting sample value as given if null hypothesis is true.

hence for sample one probabilty of gettina sample mean 59.3384 is 0.0961 if population mean is 65.

for sample two probabilty of gettina sample mean 67.8247 is 0.0002 if population mean is 60.

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