Question

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. Which of the following correctly depicts the z-statistic for this data?
0.28
0.36
1.98
2.63

Answer 1

Answer:

C. 1.98 on edu

Step-by-step explanation:

Answer 2

Answer:

Option 3rd is correct

1.98

Step-by-step explanation:

Using the formula:

$z = \frac{X-\mu}{\frac{\sigma}{\sqrt{n}}}$

where,

X is the sample mean, $\mu$ is the mean, $\sigma$ 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 , $\mu = 92$ and $\sigma = 2$

Substitute these given values to calculate z;

$z = \frac{93.5-92}{\frac{2}{\sqrt{7}}} = \frac{1.5}{0.755928946} = 1.98431348$

Therefore,  the z-statistic for the given data is, 1.98