Question

P value = 0.336, N= 50, mean = 39.08, stdev= 5.986, SE mean = 0.847, 99% upper bound for µ = 41.116

Perform a statistical test of H0: µ = 41 versus H1 : µ < 41 at the 1% level of significance assuming ? is not known. Use 99% confidence level.

Using the P-value, give the appropriate Statistical Decision and the Practical Conclusion.

(should null hypothesis be accepted/rejected?)

Answer 1

Solution:

Given data

N= 50

Standard deviation (S) =  5.986

Mean () = 39.08

SE mean = 0.847

99% upper bound for µ = 41.116

Null hypothesis (H0) :  µ = 41

  versus

Alternative hypothesis (H1) : µ < 41

Significance level () = 1%

= 1/100

= 0.01

Here ? is not known

P - value = 0.336

Using the P-value, give the appropriate Statistical Decision and the Practical Conclusion:

Statistical Decision:

P - value >

0.336 > 0.01

Practical Conclusion:

Sine the P - value is greater than significance level therefore we fail to reject the null hypothesis (H0) that is should null hypothesis(H0) be accepted.