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Heights of 20-year-old women vary approximately according to a Normal distribution with µ = 163.3 cm...

Heights of 20-year-old women vary approximately according to a Normal distribution with µ = 163.3 cm and σ = 6.5 cm.  

  1. Would a sample mean of 170 cm be different from the population mean at an alpha of 0.05? Be sure to give your p-value and explain.
Math   Statistics-And-Probability   
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Answer #1

This is the two tailed test .

The null and alternative hypothesis is

H0 : = 163.3

Ha : 163.3

Test statistic = z

= ( - ) /    / n

= (170 - 163.3) / 6.5 / 20

Test statistic = 4.61

P-value = 0.000

P-value <

Reject the null hypothesis .

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