The National Sleep Foundation surveyed representative samples of adults in six different countries toask questions about sleeping habits.t Each person in a representative sample of 250 adults in each ofthese countries was asked how much sleep they get on a typical work night. For the United States, thesample mean was 391 minutes, and for Mexico, the sample mean was 426 minutes. Suppose that thesample standard deviations were 20 minutes for the U.S. sample and 44 minutes for the Mexico sample.The report concludes that on average, adults in the United States get less sleep on work nights thanadults in Mexico. Is this a reasonable conclusion? Support your answer with an appropriate hypothesistest. (Use a = 0.05. Use 4, for Mexico and H2 for the United States.)A USE SALTState the appropriate null and alternative hypotheses.O Ho: H1 - H2 + 0O Ho: H1 - H2 = 0H3: 41 - 42 * 0O Ho: H1 - H2 = 0H3: H1 - H2 > 0H3: 4 - H2 > 0o > H - 'n :°H O0 < 7H - IH :°H OHa: H1 - H2 = 0Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value tothree decimal places.)t =P-value =State the conclusion in the problem context.O We fail to reject Họ. It is reasonable to conclude that on average, adults in the United Statesget less sleep on work nights than adults in Mexico.We fail to reject Hg. It is not reasonable to conclude that on average, adults in the UnitedStates get less sleep on work nights than adults in Mexico.O we reject Ho. It is not reasonable to conclude that on average, adults in the United States getless sleep on work nights than adults in Mexico.We reject Ho. It is reasonable to conclude that on average, adults in the United States get lesssleep on work nights than adults in Mexico.

we have given that n1=250 ,n2=250 ,xbar1=391 ,xbar2=426 ,s1=20 ,s2=44 alpha=0.05

The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions about sleeping habits.t Each person in a representative sample of 250 adults in each of these countries was asked how much sleep they get on a typical work night. For the United States, the sample mean was 391 minutes, and for Mexico, the sample mean was 426 minutes. Suppose that the sample standard deviations were 20 minutes for the U.S. sample and 44 minutes for the Mexico sample. The report concludes that on average, adults in the United States get less sleep on work nights than adults in Mexico. Is this a reasonable conclusion? Support your answer with an appropriate hypothesis test. (Use a = 0.05. Use 4, for Mexico and 42 for the United States.) A USE SALT State the appropriate null and alternative hypotheses. O Ho: H1 - H2 *0 0 - H - H :"H O Ho: H1 - H2 - 0 0 = H - In :0H O Hi H - 42 >0 0 > H - n :°H O Hi H - H2 > 0 O Hoi H1 - H2 > 0 H: H1 - H2 - 0 Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) P-value State the conclusion in the problem context. O We fail to reject Ho. It is reasonable to conclude that on average, adults in the United States get less sleep on work nights than adults in Mexico. We fail to reject Ho. It is not reasonable to conclude that on average, adults in the United States get less sleep on work nights than adults in Mexico. O we reject Ho. It is not reasonable to conclude that on average, adults in the United States get less sleep on work nights than adults in Mexico. We reject Ho. It is reasonable to conclude that on average, adults in the United States get less sleep on work nights than adults in Mexico.

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA