### MS 150 Statistics t3 • Name:

Itemprice/\$
plain omelet 1.75
cheese omelet 3.75
vegetable omelet 3.75
vegetable & cheese omelet 4.50
ham & vegetable omelet 5.00
ham & cheese omelet 5.00
ham, vegetable, & cheese omelet5.25
tuna omelet 5.25
one pancake 3.00
two pancakes 5.00
scrambled eggs 1.75
sunny side up 1.75
overeasy 1.75
boiled egg 1.75
French toast 3.25
chicken ramen 6.50

The data is from a breakfast menu in a local restaurant obtained on .

1. __________ What level of measurement is the data?
2. __________ Find the sample size n for the data.
3. __________ Find the minimum.
4. __________ Find the maximum.
5. __________ Find the range.
6. __________ Find the midrange.
7. __________ Find the median.
8. __________ Find the mode.
9. __________ Find the sample mean x.
10. __________ Find the sample standard deviation sx.
11. __________ Find the sample coefficient of variation CV.
12. __________ If this data is to be divided into five bins, what is the width of a single bin?
13. Determine the frequency and calculate the relative frequency using five bins (classes, intervals). Record your results in the table provided.
Bin upper limitsFrequency FRelative Frequency
Sums:
1. Sketch a frequency histogram of the data, labeling your horizontal axis and vertical axis as appropriate.
2. ____________________ What is the shape of the histogram?
3. __________ Find the z-score for the chicken ramen.
4. ____________________ Is the z-score for the chicken ramen ordinary or unusual?
5. ____________________ Calculate the standard error of the mean SE.
6. ____________________ Find the degrees of freedom n − 1.
7. ____________________ Calculate t-critical tc.
8. ____________________ Find the margin of error for the mean E.
9. Calculate the 95% confidence interval for the population mean μ total rainfall.

p(__________ ≤ μ ≤__________) = 0.95
Confidence interval statistics
Statistic or ParameterSymbolEquationsOpenOffice
Degrees of freedomdfn − 1 =COUNT(data)-1
Find a tcritical value from a confidence level c tc =TINV(1-c;df)
Standard error of the sample mean SE =STDEV(data)/SQRT(sample size n)
Calculate a margin of error for the mean E for n ≥ 5 using sx. E =tc*sx/SQRT(n)
Calculate a confidence interval for a population mean μ from a sample mean x and an error tolerance E x - E ≤ μ ≤ x + E