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 semifold January 23rd, 2010 02:17 PM

Test Statistic for Paired Sample Test

In this problem I am comparing two brands of golf balls using an automated machine so all variables are identical in both tests except for the brand. A random sample of each brand was taken:

Brand A: 234, 236, 230, 227, 234, 233, 228, 229, 230, 238
Brand B: 240, 236, 241, 236, 239, 243, 230, 239, 243, 240

I am trying to find "The test statistic for testing whether the two population means are equal."

I am using this equation: tstat = (dbar) - (?d)/((sd/(sqrt(n))

Where dbar = mean paired difference = -6.8
?d = hypothesized population mean paired difference = 0
sd = sample standard deviation for paired differences = 4.442
n = number of paired values in sample = 10

I am getting tstat = -4.84

Unfortunately, this is a multiple choice problem and my possible answers are:

1. F = 1.115
2. t = 1.96
3. t = -4.04
4. t = -2.58

Any ideas what I am doing wrong?

Thank you for your help.

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