6 step hypothesis tests using ANOVA: Levene Test and ANOVA: single factor

Info: Concerned about Friday absences, management examined the number of persons absent for each of the past three Fridays. Does this sample provide sufficient evidence to conclude there is a significant difference in the average number of absences? Use alpha = .05.

The Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers take to pay their invoices is important. Listed below, arranged from smallest to largest, is the time, in days, for a sample of the Thomas Supply Company Inc. invoices.

13 13 13 20 26 27 27 32 34 34 35 35 36 37 38 41 41 41 42 44 44 47 48 50 51 55 56 62 67 82

(Round your answers to 2 decimal places.)

Determine the first and third quartiles.

Determine the second decile and the eighth decile.

Determine the 67th Percdntile.

3. (Revenue Management) Berkeley Bed and Breakfast has 12 rooms, the room price is $200 per night, the marginal cost of cleaning, etc., for having a room occupied is $30, and it costs the B&B $100 to turn away customers who have reservations. Customers with reservations have a 5% chance of canceling, without penalty. Assume there are no walk-ins (all customers reserve in advance). How many reservations should be accepted to maximize the expected profit? (Hint: This will require a little bit of trial and error, and this is not a newsvendor problem.)

Jack, age 72, and Sydney, age 60, have been married for 20 years. Jack is unemployed and Sydney earns $20,000. How much can Jack and Sydney contribute to each of their traditional IRA in 2020 respectively?

Jack can contribute $  

Sydney can contribute $

How will your answers change if Jack is 60 and Sydney is 48 years old now?

Jack can contribute $  

Sydney can contribute $

Above are two readings of systolic and diastolic blood pressures taken from 15 individuals. Test the hypothesis that there is a significant difference between the first and second readings for systolic blood pressure (both sexes combined), with an α of 0.05. What test would be most appropriate and why? Is the result significant? State your conclusions.

The most frequently used measures of central tendency for quantitative data are the mean and the median. The following table shows civil service examination scores from 24 applicants to law enforcement jobs:

83        74        85        79

82        67        78        70

18        93        64        27

93        98        82        78

68        82        83        99

96        62        93        58

Using Excel, find the mean, standard deviation, and 5-number summary of this sample.

• Construct and paste a box plot depicting the 5-number summary.
• Does the dataset have outliers? If so, which one(s)?
• Would you prefer to use the mean or the medianas this dataset’s measure of central tendency? Why?

The most frequently used measures of central tendency for quantitative data are the mean and the median. The following table shows civil service examination scores from 24 applicants to law enforcement jobs: 83 74 85 79 82 67 78 70 18 93 64 27 93 98 82 78 68 82 83 99 96 62 93 58 Using Excel, find the mean, standard deviation, and 5-number summary of this sample. Construct and paste a box plot depicting the 5-number summary. Does the dataset have outliers? If so, which one(s)? Would you prefer to use the mean or the medianas this dataset’s measure of central tendency? Why?

chap 2

A)

Here is a set of sample data

Identify the 5 number summary (min, Q1, median, Q3, max)
, , , ,

B)

The five number summary of a dataset was found to be:

46, 51, 55, 59, 70

An observation is considered an outlier if it is below:

An observation is considered an outlier if it is above:

C)

Here is a set of data.

Identify the 5 number summary (min, Q1, median, Q3, max)

The ages of 30 patients admitted in a certain hospital during a particular week were as follows:

48, 31, 54, 37, 18, 64, 61, 43, 40, 71, 51, 12, 52, 65, 53,

42, 39, 62, 74, 48, 29, 67, 30, 49, 68, 35, 57, 26, 27, 58

Find:

1. Mean
2. Median
3. Mode
4. Geometric Mean
5. Harmonic Mean
6. Mid Range
7. Lower Quartile
8. Upper Quartile
1. First Decile
10. Ninth Decile
11. Fourth Percentile
50. Ninety Sixth Percentile
1000. Range
14. Inter Quartile Range
15. Quartile Deviation
16. Mean of Absolute Deviations
17. Variance
18. Standard Deviation
19. Coefficient of Range
20. Coefficient of Quartile Deviation
21. Coefficient of Variation
5. Coefficient of Skewness