Can someone please provide an example of a t test One popula

Can someone please provide an example of a t test? One population, one quantitative variable, a specific value for hypothesis.

Solution

In a \"survey\" there were n = 57 men. Is the mean pulse rate for college age men equal to 72 at alpha = 0.05?

Step 1:

Null hypothesis: ? = 72
Alternative hypothesis: ? ?72

Step 2:

Significamce level = alpha = 0.05

Step 3:

test statistic t = (x bar - ? )/sd/sqrt(n)

Here is the data for the test

x bar = 70.42

? = 72

s = 9.948

n = 57

Hence, t statistic = (70.42 - 72)/9.948/sqrt(57) = -1.2

Step 4:

p value corresponding to t statistic = -1.2 and n-1 = 56 is 0.236

Step 5:

Conclusion:

As p value > 0.236, we accept null hypothesis

=> mean pulse rate for college age men equal to 72