INFINITE POPULATION WHERE SAMPLE SIZE IS LESS THAN 30 AND POPULATION STANDARD DEVIATION IS NOT KNOWN

Problem 

  • X =[98,86,75,76,75,80,86,67,65,92,91,94,98,86,75]
  • Population standard deviation is not given
  • Hypothesized mean 85

Solution

 

Since population standard deviation is not given we find out sample standard deviation using the formula given above

Now find Z- Calculated value

Using python:

Load library and read data:

Calculate Z-Calculated value and p-value

Find z critical value from z table or use function

Display results:

Calculated value using function:

Recommendation: