Question

pes My Courses 9.4.79 Question Help Course Home Assignments A sample mean, sample size and population standard deviation are provided below. Use the one mean best to perform the required hypothesis test at the 5% significance level & -40,n 10, 7, H:35, H,:x>35 The test statistic is z=0 (Round to two decimal places as needed) Study Plan Gradebook StatCrunch Chapter Contents eText

Answer 1

Given data

H:H=35

$H_ {1}: \mu > 35$

= 40

T

n = 19

$\sigma$ = 7

$\mu_{o}$ = 35

Test statistic is

Z = $(\bar{x}-\mu _{o})/(\sigma/\sqrt{n})$

Z = (40 - 35 ) / (7 / 4.3589)

Z = 3.1135

Therefore the value of test statistic is Z = 3.1135

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H:H=35

$H_ {1}: \mu > 35$

critical vale at $\alpha$ = 0.05 for given test is

$z_{\alpha }$ = 1.645

option A is correct

The critical value is $z_{\alpha }$ = 1.645

Decision Rule : If  $Z > Z_{\alpha }$ , Accepet Ho

Reject the null hypothesis . The data provide sufficient evidence to conclued that the mean is greater than 35