Question

(1 point) Test the claim that for the population of statistics final exams, the mean score is 76 using alternative hypothesis that the mean score is different from 76. Sample statistics include n=26,x¯=77, and s=18 Use a significance level of α=0.05. (Assume normally distributed population.)
The positive critical value is:
The negative critical value is:

Answer 1

ANSWER:

Given data,

Test the claim that for the population of statistics final exams, the mean score is 76 using alternative hypothesis that the mean score is different from 76. Sample statistics include n=26,x¯=77, and s=18 Use a significance level of α=0.05. (Assume normally distributed population.)

n = 26

= 77

s = 18

Test hypothesis:

Null hypothesis : : = 76

Alternative hypothesis : : 76

Test statistic:

t = (-) / (s/sqrt(n))

t = (77-76) / (18/sqrt(26))

t = 1 / 3.5300904

t = 0.28

Degree of freedom = n-1 = 26-1 = 25

α = 0.05 (two tailed)

t-critical value = 2.06 (use this URL link "https://mathcracker.com/t_critical_values#results" )

The positive critical value is: + 2.06

The negative critical value is: - 2.06

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