In the past, patrons of a cinema complex have spent an average of $5.00 for popcorn and other snacks, with a standard deviation of $1.80. The amounts of these expenditures have been normally distributed. Following an intensive publicity campaign by a local medical society, the mean expenditure for a sample of 18 patrons is found to be $4.20. In a one-tail test at the 0.05 level of significance, does this recent experience suggest a decline in spending? (Critical Value Approach)
x̅ = 4.2, σ = 1.8, n = 18
Null and Alternative hypothesis:
Ho : µ = 5 ; H1 : µ < 5
Critical value, z crit = NORM.S.INV(0.05) = -1.645
Reject Ho if z < -1.645
Test statistic:
z = (x̅- µ)/(σ/√n) = (4.2 - 5)/(1.8/√18) = -1.8856
Decision:
As z = -1.8856 > -1.645, Reject the null hypothesis
Conclusion:
There is enough evidence to conclude that there is decline in spending at 0.05 significance level.
In the past, patrons of a cinema complex have spent an average of $5.00 for popcorn...
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