For a two-tailed hypothesis test at the significance level , the null hypothesis

Question

For a two-tailed hypothesis test at the significance level , the null hypothesis Ho. -Po vill be rejected in favor of the alternative hypothesis Ha : 0 lf and only if lo lies outside the 1- level confidence interval for . Illustrate the preceding relationship by obtaining the appropriate one-mean z-interval for the data below Suppose the mean height of women age 20 years or older in a certain country is 62.7 inches. One hundred randomly selected women in a certain city had a mean height of 63.0 inches. At the 5% significance level, the data do not provide sufficient evidence to conclude that the mean height of women in the city differs from the national mean. Assume that the population standard deviation of the heights of women in the city is 4.2 inches. The confidence interval is Round to two decimal places as needed.)

Explanation / Answer

The statistical software output for this problem is:

One sample Z summary confidence interval:
: Mean of population
Standard deviation = 4.2

95% confidence interval results:

Hence,

confidence interval: (62.18, 63.82)

Mean n Sample Mean Std. Err. L. Limit U. Limit 100 63 0.42 62.176815 63.823185

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