A movie theater company wants to see if there is a difference in the average mov

Question

A movie theater company wants to see if there is a difference in the average movie ticket sales in Baltimore and Houston per week. They sample 20 sales from Baltimore and 25 sales from Houston over a week. Test the claim using a 109% level of significance. Assume the population variances are unequal and that movie sales are normally distributed. Give answer to at least 4 decimal places. Baltimore Houston 223 221 208 212 225 225 215 215 213 217 231 244 214 218 214 219 219 210 230 225 241 227 221 229 229 216 251 235 223 215 214 225 220 220 218 214 223 220 214 213 225

Explanation / Answer

ho: u1 = u2

h1: u1 =/= u2

t= =(226.2-218.2)/SQRT(5.4716+0.9533)

3.1561

df= =(5.4716+0.9533)^2/(5.4716^2/19+0.9533^2/24)

df= 25.58259151

df= 26

critical values:

=T.INV.2T(0.05,26)

2.0555

correct decision:

reject the null hypothesis

there is enough evidence to say

baltimore houston mean 226.2000 218.2000 AVERAGE sd 10.4610 4.8819 STDEV n 20.0000 25.0000 COUNT sd^2/n 5.4716 0.9533

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