Answer:
Value of the test statistic, [tex]z_{test} = - 1.17[/tex]
Step-by-step explanation:
Null hypothesis, [tex]H_{0}: \mu = 53.9[/tex]
Alternative hypothesis, [tex]H_{a} : \mu \neq 53.9[/tex]
Sample mean, [tex]\bar{X} = 53.7[/tex]
Sample size, n = 110
Standard deviation, [tex]\sigma = 1.8[/tex]
Significance level, [tex]\alpha = 0.02[/tex]
The value of the test statistics is given by the formula:
[tex]z_{test} = \frac{\bar{X} - \mu}{\frac{\sigma}{\sqrt{n} } } \\z_{test} = \frac{53.7 - 53.9}{\frac{1.8}{\sqrt{110} } } \\z_{test} = - 1.17[/tex]
