Distribution of handwashing time data

Handwashing Times: An Observational Study Based on Gender and Age

Results

Table 1. Descriptive statistics of age variable (grouped by gender)
	Sex		Statistic		Std. Error
Age	Male	Mean		20.0000		.20203
		95% Confidence Interval for Mean	Lower Bound		19.5940
			Upper Bound		20.4060
		5% Trimmed Mean		20.0000
		Median		20.0000
		Variance		2.041
		Std. Deviation		1.42857
		Minimum		18.00
		Maximum		22.00
		Range		4.00
		Interquartile Range		2.00
		Skewness		.000		.337
		Kurtosis		-1.310		.662
	Female	Mean		20.0000		.20203
		95% Confidence Interval for Mean	Lower Bound		19.5940
			Upper Bound		20.4060
		5% Trimmed Mean		20.0000
		Median		20.0000
		Variance		2.041
		Std. Deviation		1.42857
		Minimum		18.00
		Maximum		22.00
		Range		4.00
		Interquartile Range		2.00
		Skewness		.000		.337
		Kurtosis		-1.310		.662

Table 2. Descriptive statistics of handwashing time variable (grouped by gender)
	Sex		Statistic		Std. Error
SecondsOfHandwasing	Male	Mean		8.3000		.51528
		95% Confidence Interval for Mean	Lower Bound		7.2645
			Upper Bound		9.3355
		5% Trimmed Mean		8.3556
		Median		8.0000
		Variance		13.276
		Std. Deviation		3.64356
		Minimum		1.00
		Maximum		15.00
		Range		14.00
		Interquartile Range		5.00
		Skewness		-.059		.337
		Kurtosis		-.630		.662
	Female	Mean		8.5800		.58000
		95% Confidence Interval for Mean	Lower Bound		7.4144
			Upper Bound		9.7456
		5% Trimmed Mean		8.4889
		Median		8.0000
		Variance		16.820
		Std. Deviation		4.10122
		Minimum		2.00
		Maximum		18.00
		Range		16.00
		Interquartile Range		7.00
		Skewness		.241		.337
		Kurtosis		-.741		.662

Table 3. Descriptive statistics of handwashing time variable (ungrouped)
				Statistic		Std. Error
SecondsOfHandwasing	Mean		8.4400		.38621
	95% Confidence Interval for Mean	Lower Bound		7.6737
		Upper Bound		9.2063
	5% Trimmed Mean		8.4000
	Median		8.0000
	Variance		14.916
	Std. Deviation		3.86207
	Minimum		1.00
	Maximum		18.00
	Range		17.00
	Interquartile Range		6.00
	Skewness		.129		.241
	Kurtosis		-.665		.478

Table 4. Percentiles of handwashing time variable (ungrouped)
	Percentiles
		5		10		25		50		75		90		95
Weighted Average (Definition 1)	SecondsOfHandwasing		2.0000		3.1000		6.0000		8.0000		12.0000		14.0000		14.9500
Tukey’s Hinges	SecondsOfHandwasing						6.0000		8.0000		12.0000

Table 5. Tests of Normality for age variable (grouped by gender)
	Sex	Kolmogorov-Smirnova	Shapiro-Wilk
		Statistic	df	Sig.	Statistic	df	Sig.
Age	Male	.158	50	.003	.888	50	.000
	Female	.158	50	.003	.888	50	.000
a. Lilliefors Significance Correction

Table 6. Tests of Normality for handwashing time variable (grouped by gender)
	Sex	Kolmogorov-Smirnova	Shapiro-Wilk
		Statistic	df	Sig.	Statistic	df	Sig.
SecondsOfHandwasing	Male	.099	50	.200*	.970	50	.229
	Female	.115	50	.094	.966	50	.158
a. Lilliefors Significance Correction *. This is a lower bound of the true significance.

Table 7. Tests of Normality for handwashing time variable (ungrouped)

SecondsOfHandwasing

Kolmogorov-Smirnova

Shapiro-Wilk

Statistic

Sig.

Statistic

Sig.

.105

100

.008

.979

100

.108

a. Lilliefors Significance Correction

Figure 1. Distribution of age data (grouped by gender)

Figure 2. Distribution of handwashing time data (grouped by gender)

Figure 3. Distribution of handwashing time data (ungrouped)

Table 8. Correlation Analysis of age vs. handwashing time
		Age	SecondsOfHandwasing
Age	Pearson Correlation	1	-.118
	Sig. (2-tailed)		.243
	N	100	100
SecondsOfHandwasing	Pearson Correlation	-.118	1
	Sig. (2-tailed)	.243
	N	100	100

Figure 4. Scatterplot of age vs. handwashing time

Table 9. Independent samples t-test analysis (handwashing time based on gender)
		Levene’s Test for Equality of Variances	t-test for Equality of Means	95% Confidence Interval of the Difference
		F	Sig.	t	df	Sig. (2-tailed)	Mean Difference	Std. Error Difference	Lower	Upper
SecondsOf Handwasing	Equal variances assumed	1.540	.218	-.361	98	.719	-.280	.77583	-1.8196	1.2596
	Equal variances not assumed			-.361	96.659	.719	-.280	.77583	-1.8199	1.2599