Respuesta :
Answer:
Option 3rd is correct
1.98
Step-by-step explanation:
Using the formula:
[tex]z = \frac{X-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
where,
X is the sample mean, [tex]\mu[/tex] is the mean, [tex]\sigma[/tex] is the standard deviation and n is the sample size.
As per the statement:
Dion is performing a hypothesis test in which the population mean is 92 and the standard deviation is 2. His sample size is 7 with a mean of 93.5
⇒X = 93.5, n = 2 , [tex]\mu = 92[/tex] and [tex]\sigma = 2[/tex]
Substitute these given values to calculate z;
[tex]z = \frac{93.5-92}{\frac{2}{\sqrt{7}}} = \frac{1.5}{0.755928946} = 1.98431348[/tex]
Therefore, the z-statistic for the given data is, 1.98
