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

C. 1.98 on edu

Explanation:

Answer 2

Option 3rd is correct

1.98

Explanation:

Using the formula:

`z = (X-\mu)/((\sigma)/(√(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 = (93.5-92)/((2)/(√(7))) = (1.5)/(0.755928946) = 1.98431348`

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