Question

Consider the following hypotheses:

Answer 1

Answer:

Step-by-step explanation:

Given that a hypothesis test (right tailed) was conducted for comparing sample mean with population mean.

$H0: \bar x = 12.6\\HA: \bar x > 12.6$

Sample size n = 25

Population std dev = $\sigma = 3.2$

Std error of sample mean = sigma/sqrt n = 3.2/5 = 0.64

Sample mean = 13.4

Mean difference = 13.4-12.6 = 0.80

since population std deviation is known we can use Z test

Z= mean diff/std error = 1.25

a) p valu e= 0.10565

= 0.1057

b) Since p value is >0.10 accept H0.

C. Do not reject H0 since the p-value is greater than 0.10

c) If n =100, then we have std error of mean = 1/2 original = 0.32

Test statistic = 0.8/0.32 = 2.5

p value = 0.00621

d) Here since p <0.10, we reject null hypotehsis

B. Reject H0 since the p-value is smaller than 0.10