Question

W2015 File Home Documenti - Microsoft Word Add-Ins Insert Page Layout References Mailings Review View % Cut E Copy Paste Format Painter Clipboard Calibri (Body] - 11 A A Aa Ley 5 BI Uzbe X* Aaby- A E Font E 21 15 23 Paragraph AaBbCcDc AaBbCcDc AaBb C AaBb Cc AaB AaBb Cc AaBb CDI 1 Normal 1 No Spac... Heading 1 Heading 2 Title Subtitle Subtle Em.. Styles Change Styles Find 4ac Replace As Select Editing Suppose the mean height of women age 20 years or older in a certain country is 62.9 inches. One hundred randomly selected women in a certain city had a mean height of 62.3 inches. At the 1% significance level, do the data 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 4.5 inches Click here to view a partial table of areas under the standard normal curve. Set up the hypotheses for the one-mean z-test. HoH O The test statistic is z=0 (Round to two decimal places as needed.) The P-value is (Round to four decimal places as needed.) the null hypothesis. The data sufficient evidence to conclude that the average height of women in the city is the average height of women in the country. Enter your answer in each of the answer boxes. Page: 1 of 1 Words: 1 DE 33 170% 0 5:49 PM 4/21/2020

Answer 1

Null hypothesis;HO: 62.9 u= LE Alternative hypothesis;H1: 62.9 Sample mean: Sample size: Population standard deviation: X = 62.3 given n= 100 given o= 4.5 given a= 0.01 given 2a/2 = 2.576 Z< -2.576 or z> 2.576 Level of significance: Critical values Critical region : Test statistic: x-u = -1.333 p-value: For z= -1.333 the two tailed p-value is 0.1824 Decision: Since p-value > a fail to reject HO Conclusion: There is no sufficient evidence to conclude that the mean height of women differs