Question

inment Chapter 09, Section 9.3, Problem 036a Your answer is partially correct. Try again. A random sample of 23 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 oft for the following test of hypothesis, using a =0.01. Ho: = 55 versus H: 55. Round your answers for the values of t to three decimal places. 0 < p-value < 0.01 Ertical -2.818 2.818 2.508 to served Click if you would like to Show Work for this questions on Show Work Question Attempts: asy pl I 2000-2020 Sons Inc. All Rights Reserved A Dion of Sans Ins GP o here to search

Answer 1

sample mean :

T= 58,5

sample standard deviation:

s= 7.5

sample size:

n = 23

level of significance:

α = 0,01

degrees of freedom:

V = n - 1= 22

Test statistic:

S t (rt-ru

V23 + (58.5-55) 75 = 2.238

From the t-distribution table

Critical value:
#ta/2.0 = + 0.005, 22 +2.818

p-value: 0.02<p-value<0.05

t_{critical left} = -2.818

t_{critical right} = 2.818

t_observed = 2.238

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