STA10003 Assignment 01 PDF

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QUESTION 1: Report: The distribution of Health Status for a random sample of 1500 Californian adults in 2018 is displayed in Figure 1. The most common Health Status response was Good (78.9%) followed by the response Poor (21.1%).

Health Status Cumulative Frequency Valid

Percent

Valid Percent

Percent

Good

1184

78.9

78.9

78.9

Poor

316

21.1

21.1

100.0

Total

1500

100.0

100.0

Figure 1: Distribution of Health Status of Californian adults

QUESTION 2: Report: The distribution of Number of cigarettes smoked the previous day in a random sample of 1500 Californian adults in 2018 is displayed in Figure 2. The distribution is fairly symmetrical with 50% of people smoking 10 or more cigarettes the previous day. Typically, number of cigarettes smoked was between 4 and 18, with half of the number of cigarettes falling within this range. Some respondents reported smoking an exceptionally high amount the previous day of over 23 cigarettes, with the highest being 26 cigarettes. Case Processing Summary Cases Valid N Number of cigarettes

Missing

Percent 235

15.7%

N 1265

Total

Percent 84.3%

N

Percent

1500

100.0%

smoked [previous day]

Descriptives Statistic

Std. Error

Number of cigarettes

Mean

11.25

smoked [previous day]

95% Confidence Interval for Lower Bound

10.24

Mean

12.25

Upper Bound

5% Trimmed Mean

11.07

Median

10.00

Variance

61.426

Std. Deviation

0

Maximum

26

Range

26

Interquartile Range

14

Kurtosis

90

95

23.00 25.00

7.837

Minimum

Skewness

.511

.314

.159

-1.215

.316

Figure 2: Distribution of cigarettes smoked the previous day

QUESTION 3: Report: The distribution of Time walked for leisure in the previous week in a random sample of 1500 Californian adults in 2018 is displayed in Figure 3. The distribution is positively skewed with 50% of people walking leisurely 30 mins the previous week. Typically, the minutes walked the previous week was between 15 minutes and 40 minutes, with half of the minutes walked for leisure falling within this range. Some respondents reported exceptionally high minutes walked in the previous week of over 40 minutes, with the highest being 60 minutes. Case Processing Summary Cases Valid N

Percent

Missing N

Percent

Total N

Percent

Time walked for leisure [mins in previous

985

65.7% 515

34.3% 1500 100.0%

week]

Descriptives Statistic

Std. Error

35.37

Time walked for leisure [mins

Mean

in previous week]

95% Confidence Interval for

Lower Bound

32.87

Mean

Upper Bound

37.87

5% Trimmed Mean

29.91

Median

30.00

Variance Std. Deviation

1596.325 39.954

Minimum

5

Maximum

600

Range

595

Interquartile Range Skewness Kurtosis

1.273

25 6.670

.078

68.313

.156

Weighted Average(Definition 1) Tukey's Hinges

Figure 3: Distribution of time for leisurely walks

QUESTION 4: Dale performed better than the average in both competitions, however his performance was better in Competition B. He scored below the mean in both competitions as the z-scores were negative. The zscore calculations for both competitions can be found below in Figure 4. In competition A, Dale had a standard deviation of -0.625 below the mean, whereas in Competition B, he had a standard deviation of -1.2 below the mean, thus confirming that he performed better in Competition B, when compared to others who took part in that competition.

Calculations:-Competition A Dale’s time (X)= 80 seconds µ= 85 seconds, = 8 seconds z= X- µ

Competition B Dale’s time (X)= 84 seconds µ= 90 seconds, = 5 seconds z= X- µ

 = 80-85 8 = -0.625 Figure 4: Values for z- score calculations

 = 84-90 5 = -1.2...