A recent study focused on the amount of money single men and

A recent study focused on the amount of money single men and women save monthly. The information is summarized below. Assume that the population standard deviations are equal.


At the 0.17 significance level, do women save more money than men? What is the value of the critical value for this hypothesis test?

0.959

3.402

1.383

6.402

Sample Size Sample Mean Population Standard
Deviation
  Men 45          437          98               
  Women 47          507          71               

Solution

SE
Sample N Mean StDev Mean
1 45 437.0 98.0 15
2 47 507.0 71.0 10


Difference = mu (1) - mu (2)
Estimate for difference: -70.0
83% lower bound for difference: -87.1
T-Test of difference = 0 (vs >): T-Value = -3.94 P-Value = 1.000 DF = 90
Both use Pooled StDev = 85.2748

as p-value us 1 so we claim that the men save more money


P( X <= x ) x
0.83 0.959255

A recent study focused on the amount of money single men and women save monthly. The information is summarized below. Assume that the population standard deviat

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