A real estate company is interested in testing whether the mean time that famili

Question

A real estate company is interested in testing whether the mean time that families in City A have been living in their current homes is less than families in City B Assume that the two population variances are equal. A random sample of 100 families from City A and a random sample of 150 families in City B yield the following data on length of residence in current homes. Suppose ? 0 01. Which of the following represents the result of he relevant hypothesis test City A. XA#35 months, S,900 City B:Xy-50 months, S -1050 O A The null hypothesis is not rejected. O B. The null hypothesis is rejected. O C. The alternative hypothesis is rejected 0 D. Insufficient information exists on which to make a decision

Explanation / Answer

P value and statistical significance:
  The two-tailed P value equals 0.0003
  By conventional criteria, this difference is considered to be extremely statistically significant.

Confidence interval:
  The mean of Group One minus Group Two equals -15.0000
  95% confidence interval of this difference: From -23.0004 to -6.9996

Intermediate values used in calculations:
  t = 3.6928
  df = 248
  standard error of difference = 4.062

Hence, Null hypothesis is rejected

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