Answered

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

Verified Answer :

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

Answer:

C. 1.98 on edu

Step-by-step explanation:

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