Question #342169

Using thye following information: H0:=375; Ha: 375; n=100; x = 390; 2=4,900 and a =0.05. is the z-test statistic value equal to 2.14?


1
Expert's answer
2022-05-19T11:12:36-0400

The following null and alternative hypotheses need to be tested:

H0:μ=375H_0:\mu=375

H1:μ375H_1:\mu\not=375

Based on the information provided, n=100,xˉ=390,σ2=4900,n=100, \bar{x}=390, \sigma^2=4900, the significance level is α=0.05.\alpha = 0.05.

The z-statistic is computed as follows:


z=xˉμσ/n=3903754900/100=1572.14z=\dfrac{\bar{x}-\mu}{\sigma/\sqrt{n}}=\dfrac{390-375}{\sqrt{4900}/\sqrt{100}}=\dfrac{15}{7}\approx2.14

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