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Rudik [331]
4 years ago
14

Consider the following hypothesis test. H0: μ = 15 Ha: μ ≠ 15 A sample of 50 provided a sample mean of 14.11. The population sta

ndard deviation is 3. Find the value of the test statistic. (Round your answer to two decimal places.)
Mathematics
1 answer:
bearhunter [10]4 years ago
8 0

Answer: -2.10

Step-by-step explanation:

Given : H_0:\mu=15

H_a:\mu\neq15

Sample size : n= 50, since the sample size is greater than 30 , so we apply z-test.

Sample mean : \overline{x}=14.11

Standard deviation : \sigma= 3

The test statistic for population mean :-

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

i.e. z=\dfrac{14.11-15}{\dfrac{3}{\sqrt{50}}}=-2.09775011752\approx-2.10

Hence, the value of the test statistic = -2.10

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