T test Say we had the following: Population: µ=100, s=15 Sample: N=100, x105 Question: Is there a difference between the population mean(µ=100) and sample mean (x =105)? Is there a statistical...

Steps in T Test

Extracted text: T test Say we had the following: Population: µ=100, s=15 Sample: N=100, x105 Question: Is there a difference between the population mean(µ=100) and sample mean (x =105)? Is there a statistical difference between 100 and 105? *Z test or T test? Since o is unknown, test is appropriate. The population standard deviation (6) is unknown.Instead, we use Sx (SD of estimated population) for the T test) Hypothesis testing for comparison of two means. X-µ s/VN Tobt :Tot value from the given data (evidence score) Steps in T Test Step1: Determine the Null and Alternative Hypothesis Họ: µ= Step 2: Two-tailed Step 3: Select significant level a Step 4: T test Step 5: Find the critical value and determine if Tobt falls in the “reject" or "fail to reject" region of the Null hypothesis. Step 6: Calculate the Test statistic N= u = S = Step 7-9: State the conclusion based on the result of the step 5. There is a statistically significant difference between the two means if the Null hypothesis is rejected (include a scientific notation.) There is NO statistically significant difference between the two means if the Null hypothesis is NOT rejected (fail to reiect, include a scientific notation.)