Question 1085486:
A metropolitan children's museum open year-round wants to see if the variance in daily attendance differs between the summer and winter months. Random samples of 30 days each were selected and showed that in the winter months, the sample mean daily attendance was 300 with a standard deviation of 52, and the sample mean daily attendance for the summer months was 280 with a standard deviation of 65. At α = 0.05, can we conclude a difference in the variances?
Step 1: State hypotheses by filling in the symbol (=, <, >, or not equal):
Ho: σ1 _________ σ2
H1: σ1 _________ σ2
Step 2: Find the critical value (from the table) (example: 2.34)
Critical F value is: ________
Step 3: Compute the test value using the formula (round to two decimal places, example 6.45, and it is always greater than 1):
F test value is: ________
Step 4: Reject the null or do not reject the null (type in either Reject the null or do not reject the null only):
________
Step 5: Conclusion sentence (type in either is or is not only, to reflect what you found):
There _________ enough evidence to support the claim that the variances in daily attendance differs between the summer and winter months.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Ho: sigma 1^2=sigma 2^2
Ha: They are not equal.
Critical value F(29,29) > 1.80
Test-statistic is 65^2/52^2=1.5625 or 1.56
Do not reject the null
There is not enough evidence...
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