question archive (3) If we find that the mean family size in America is 3

(3) If we find that the mean family size in America is 3

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(3) If we find that the mean family size in America is 3.5 and the standard deviation is 1, explain the meaning of the mean and the standard deviation.

(4) Suppose we are conducting a two tailed hypothesis test with a level of significance of 5%. We learned that the p value is 0.01%. What can you conclude?

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(3) If we find that the mean family size in America is 3.5 and the standard deviation is 1, explain the meaning of the mean and the standard deviation.

 

  • This means that the average family size in Amerca is 3.5. In addition, about 95% of values will be within 2 standard deviations of the mean, so this means that 95% of the family size in America will be within 2.5 to 4.5.

 

(4) Suppose we are conducting a two tailed hypothesis test with a level of significance of 5%. We learned that the p value is 0.01%. What can you conclude?

  • Since p-valueis 0.01% < level of significance of 5%, we can reject the null hypothesis since the smaller the p-value, the greater the evidence against the null hypothesis.