The mean age of a random sample of 35 people who were playing the slot machines is 48.7 years with a sample standard deviation of 6.8 years. The mean age of a random sample of 45 people who are playing roulette is 55.3 with a sample standard deviation of 3.2 years. Can it be concluded at a = .05 that the mean age of those playing slots is less than those playing roulette (is us < μr)? Assume that the population variances are equal. Test the null hypothesis Ho: μs-μr 20

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The mean age of a random sample of 35 people who were playing
the slot machines is 48.7 years with a sample standard deviation
of 6.8 years. The mean age of a random sample of 45 people who
are playing roulette is 55.3 with a sample standard deviation of
3.2 years. Can it be concluded at a = .05 that the mean age of
those playing slots is less than those playing roulette (is us < µr)?
Assume that the population variances are equal. Test the null
hypothesis Ho: μs- μr 20
Transcribed Image Text:The mean age of a random sample of 35 people who were playing the slot machines is 48.7 years with a sample standard deviation of 6.8 years. The mean age of a random sample of 45 people who are playing roulette is 55.3 with a sample standard deviation of 3.2 years. Can it be concluded at a = .05 that the mean age of those playing slots is less than those playing roulette (is us < µr)? Assume that the population variances are equal. Test the null hypothesis Ho: μs- μr 20
Expert Solution
Step 1

We have written given information with usual notation,

Let xs denotes the playing the slot machine 

And xr denotes the plying the roulette.

ns=35,   x¯s=48.7 years   and ss=6.8 years

nr=45,  x¯r=55.3 years    and sr=3.2 years

The level of significance α=0.05.

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