Question

round to 4 decimals

Question 15 Type numbers in the boxes. Find the p-value for the hypothesis test. A random sample of size 51 is taken. The sample has a mean of 392 and a standard deviation of 83. 10 points Ho: u = 400 Ha: u< 400 The p-value for the hypothesis test is Your answer should be rounded to 4 decimal places. Question 16

Answer 1

Solution :

$\mu$= 400

$\bar x$ =392

$\sigma$ =83

n = 51

This is the left tailed test .

The null and alternative hypothesis is ,

H₀ :  $\mu$ = 400

H_a : $\mu$ <400

Test statistic = z

= ($\bar x$ - $\mu$ ) / $\sigma$ / $\sqrt$ n

= (392-400) / 83 / $\sqrt$ 51

= −0.69

P(z <-0.69 ) = 0.2451

P-value = 0.2451