Explore BrainMass

Explore BrainMass

    Test of hypothesis using t distribution

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    (a) At alpha (a) =.05, does the following sample show that daughters are taller than their mothers?
    (b) Is the decision close?
    (c) Why might daughters tend to be taller than their mothers? Why might they not?

    Family Daughters Height(CM) Mothers Height (CM)
    1 167 172
    2 166 162
    3 176 157
    4 171 159
    5 165 157
    6 181 177
    7 173 174

    © BrainMass Inc. brainmass.com June 3, 2020, 10:15 pm ad1c9bdddf
    https://brainmass.com/statistics/students-t-test/test-of-hypothesis-using-t-distribution-222336

    Solution Preview

    (a) At alpha (a) =.05, does the following sample show that daughters are taller than their mothers?
    (b) Is the decision close?
    (c) Why might daughters tend to be taller than their mothers? Why might they not?

    Family Daughters Height(CM) Mothers Height (CM)
    1 167 172
    2 166 162
    3 176 157
    4 171 159
    5 165 157
    6 181 177
    7 173 174

    (a) At alpha (a) =.5, does the following sample show that daughters are taller than their mothers?
    First calculate the mean and standard deviation of the two sample.

    Daughters Height(CM)
    X= X 2 =
    167 27889
    166 27556
    176 30976
    171 29241
    165 27225
    181 32761
    173 29929
    Total= 1199 205577
    n=no of observations= 7
    Mean= 171.29 =1199/7

    variance={summation of X 2 - n(Mean) 2 }/(n-1)= 32.5252 =(205577-7*171.29^2)/(7-1)
    standard deviation =square root of Variance= 5.7031 =square root of 32.5252

    Mothers' Height(CM)
    X= X 2 =
    172 29584
    162 26244
    157 24649
    159 25281
    157 24649
    177 31329
    174 30276
    Total= 1158 192012
    n=no ...

    Solution Summary

    Tests the hypothesis that the daughters are taller than their mothers.

    $2.19

    ADVERTISEMENT