Mean amount of money spent = $142
Standard deviation σ2= $ 47.50
90 % confidence interval can be calculated as follows;
X= 47.5 + or – (1.65) (4.75) (Gravetter & Wallnau, 2008; Privitera 2012).
= + or – 7.81
The true proportion lies between
134 to $149
95 percent confidence interval:
μ= X=/- Z(s//n)
x= 47.5+/- (1.96) (4.75)
=38.19 and 56.81
Between $132 to $151
99 percent confidence interval;
X=47.5+/- (2.54) (4.75)
=47.5+ or – 12.065
=35.435 and 59.565
Between $ 129 to $154
Sample size = 75 dishes
60 were delivered within a minute
75-60= 15 dishes took over a minute
90 percent confidence interval (Gravetter & Wallnau, 2013; Angelsen, 2011)
Observed proportion = 6/8*100=80 percent
= = or – 7.6 percent
We can be 90 percent certain that the true proportion of dishes served less than 1 minute range between 72.4 percent and 87.6 percent
80 percent + or – 9.05 percent
We can be 95 percent certain that the true proportion lies between 70.95 percent and 89.05 percent
99 percent confidence:
=80 percent + or – 11.9 percent
We can be 99 percent certain that the true proportion lies between 68.1 percent and 91.9 percent
Angelsen, A. (2011). Measuring livelihoods and environmental dependence: Methods for research and fieldwork. London: Earthscan.
Gravetter, F. J., & Wallnau, L. B. (2008). Essentials of statistics for the behavioral sciences. Belmont, CA: Thomson/Wadsworth.
Gravetter, F. J., & Wallnau, L. B. (2013). Statistics for the behavioral sciences. Belmont, CA: Wadsworth Cengage Learning.
Privitera, G. J. (2012). Statistics for the behavioral sciences. Thousand Oaks: SAGE.
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