For a collected data of 10 random samples , we have
0.700 , mean is 0.742, SD is 0.040 . Test the statistic:
n=10μ=0.700xˉ=0.742σ=0.040Test−statisticX=xˉ−μσ/n=0.742−0.7000.040/10=0.0420.0126=3.334n = 10 \\ μ = 0.700 \\ \bar{x}=0.742 \\ σ = 0.040 \\ Test-statistic \\ X = \frac{\bar{x}-μ}{σ/ \sqrt{n}} \\ = \frac{0.742-0.700}{0.040/ \sqrt{10}} \\ = \frac{0.042}{0.0126} \\ = 3.334n=10μ=0.700xˉ=0.742σ=0.040Test−statisticX=σ/nxˉ−μ=0.040/100.742−0.700=0.01260.042=3.334
Answer: 3.334
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