Question

Suppose the standard deviation of a normal population is known to be 3, and Ho asserts that the mean is equal to 12. A random sample of size 36 drawn from the population yields a sample mean 12.95. What is the p-value if the alternative hypothesis says that the population mean is not 12?

Answer 1

The Standard deviation of a Normal population Matton is given as 023 The population mean is given as Mose. A random sample of size (n)= 36 drawn ut yields a sample meană=12.95. Flere our null and alternative buypothesis ру – Hoi Ma 12 against Hi M 412. As, Wednour the population standard deviation eos, 30, we use a z test statistic bere. Z2 X-Me Ta 2 12.95-12 ✓ 32 0.95 1/2 - 1990 Now, we have to find the pralue, as significant lével is not given in the Problem eve should take it as X20005, 30, we use a normal distribution calculator PCF>190) and P(7419) ta found the test. as it is a two tailed The required Pralue 2 0.0574