Question

Question 1: A random sample of 22 observations taken from a population that is normally distributed produced a sample mean of 58.5 and a standard deviation of 7.5.

Find the range for the p-value and the critical and observed values of t for the following test of hypothesis, using α = 0.01 .

H 0 :   μ = 55 versus H 1 :   μ > 55 .

Use the t distribution table to find a range for the p-value.

Question 2:

A random sample of 19 observations taken from a population that is normally distributed produced a sample mean of 42.4 and a standard deviation of 8. Find the range for the p-value and the critical and observed values of t for each of the following tests of hypotheses using, α = 0.01 .

Use the t distribution table to find a range for the p-value.

Round your answers for the values of t to three decimal places.

a. H 0 :   μ = 46 versus H 1 :   μ < 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

Question 3:

A random sample of 550 observations produced a sample proportion equal to 0.36. Find the critical and observed values of z for the following test of hypotheses using α = 0.02 .

H 0 :   p = 0.30 versus H 1 :   p ≠ 0.30 .

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 =

b. H 0 :   μ = 46 versus H 1 :   μ ≠ 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

Round your answers for the values of t to three decimal places.

Enter your answer; the range for the p-value, lower bound < p-value <Enter your answer; the range for the p-value, upper bound

t _critical =Enter your answer; t_critical

t _observed =Enter your answer; t_observed

Answer 1

my dear student as per HOMEWORKLIB RULES I have solved the first problem. Thank you.