Question 1: A random sample of19observations taken from a population that is normally distributed produced a sample mean of42.4and a standard deviation of8. Find the range for thep-value and the critical and observed values oftfor each of the following tests of hypotheses using,=0.01.

Use thetdistribution table to find a range for thep-value.

Round your answers for the values oftto three decimal places.

a.H0:=46versusH1:<46.

Enter your answer; the range for the p-value for the item a) of the question statement, lower bound

<p-value <

Enter your answer; the range for the p-value for the item a) of the question statement, upper bound

t critical=

Enter your answer; t_critical

t observed=

Enter your answer; t_observed

b.H0:=46versusH1:46.

Enter your answer; the range for the p-value for the item b) of the question statement, lower bound

<p-value <

Enter your answer; the range for the p-value for the item b) of the question statement, upper bound

t critical left=

Enter your answer; t_critical left

t critical right=

Enter your answer; t_critical right

t observed=

Question 2:A random sample of550observations produced a sample proportion equal to0.36. Find the critical and observed values ofzfor the following test of hypotheses using=0.02.

H0:p=0.30versusH1:p0.30.

Round your answers to two decimal places.

z critical left=

Enter your answer; z_critical left

z critical right=

Enter your answer; z_critical right

z observed