According to the Statistical Abstract of the United States, the mean family size in 2010 was 3.14 persons. Suppose a random sample of 225 families taken this year yields a sample mean size of 3.05 persons, and suppose we assume the population standard deviation of family sizes is o = 1 person. Using a 5% significance level, test the hypothesis that the mean family size has decreased since 2010. Perform your hypothesis test, and select the best interpretation of your results from the choices below. Select one: O a. At the 5% level of significance the data are statistically significant. We cannot determine the average family size has decreased since 2010. O b. At the 5% level of significance the data are statisticall significant. We can determine the average family size has decreased since 2010. O c. At the 5% level of significance the data is not statistically significant. We cannot conclude the average family size has decreased since 2010. O d. At the 5% level of significance the data are not statistically significant. The average family size has decreased since 2010.

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According to the Statistical Abstract of the United States, the mean family size in 2010 was 3.14
persons. Suppose a random sample of 225 families taken this year yields a sample mean size of 3.05
persons, and suppose we assume the population standard deviation of family sizes is o = 1 person.
Using a 5% significance level, test the hypothesis that the mean family size has decreased since 2010.
Perform your hypothesis test, and select the best interpretation of your results from the choices below.
Select one:
O a.
At the 5% level of significance the data are statistically significant. We cannot determine the
average family size has decreased since 2010.
O b. At the 5% level of significance the data are statisticall significant. We can determine the
average family size has decreased since 2010.
O c. At the 5% level of significance the data is not statistically significant. We cannot conclude the
average family size has decreased since 2010.
O d. At the 5% level of significance the data are not statistically significant. The average family size
has decreased since 2010.
Transcribed Image Text:According to the Statistical Abstract of the United States, the mean family size in 2010 was 3.14 persons. Suppose a random sample of 225 families taken this year yields a sample mean size of 3.05 persons, and suppose we assume the population standard deviation of family sizes is o = 1 person. Using a 5% significance level, test the hypothesis that the mean family size has decreased since 2010. Perform your hypothesis test, and select the best interpretation of your results from the choices below. Select one: O a. At the 5% level of significance the data are statistically significant. We cannot determine the average family size has decreased since 2010. O b. At the 5% level of significance the data are statisticall significant. We can determine the average family size has decreased since 2010. O c. At the 5% level of significance the data is not statistically significant. We cannot conclude the average family size has decreased since 2010. O d. At the 5% level of significance the data are not statistically significant. The average family size has decreased since 2010.
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