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Inessa05 [86]
2 years ago
11

Brett is performing a hypothesis test in which the population mean is 310 and the standard deviation is 20. his sample data has

a mean of 295 and a sample size of 50. which of the following correctly depicts the z-statistic for brett’s data? –5.30 –0.11 4.28 6.27
Mathematics
2 answers:
zlopas [31]2 years ago
7 0

According to the given data and applying it's formula, the z-statistic is of z = -5.30.

<h3>What is the z-statistic formula?</h3>

It is given by:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • \sigma is the standard deviation of the population.
  • n is the sample size.

In this problem, the values of the parameters are given by:

\overline{x} = 295, \mu = 310, \sigma = 20, n = 50

Hence, the z-statistic is given by:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{295 - 310}{\frac{20}{\sqrt{50}}}

z = -5.30.

The z-statistic is of z = -5.30.

More can be learned about z-statistic at  brainly.com/question/26454209

vova2212 [387]2 years ago
6 0

The z-statistic for Brett's data is found to be as given by: Option A: -5.30 (approx).

<h3>How to find the value of z-statistic for population mean?</h3>

Suppose we're specified that:

  • The sample mean = \overline{x}
  • The population mean = \mu
  • The population standard deviation = \sigma
  • The sample size = n

Then the z-statistic for this data is found as:

Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}}

For this case, we've got:

  • The sample mean = \overline{x} = 295
  • The population mean = \mu = 310
  • The population standard deviation = \sigma = 20
  • The sample size = n = 50

Thus, we get:

Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{295 - 310}{20/\sqrt{50}} \approx -5.30

Thus, the z-statistic for Brett's data is found to be as given by: Option A: -5.30 (approx).

Learn more about z-statistic here:

brainly.com/question/1640298

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