PowerPoint Presentation

Final projectResearch and statistics for managerial decision making

Lekha Gupta (0173160) Devika Anand (0172984)introductionWe have done statistical research on our research questionnaire as how much amount of sleep do people get per day on an average. We collected data for 60 people by doing primary research in our school which includes 30 males and 30 females. In this project, we have showed two categorical variables on the basis of gender and various statistical methods which includes eminent data and information like, frequency distribution table, bar graph chart, mean, median, mode, standard deviation for each categorical variable has been calculated using MS Excel. These calculations have helped us to interpret between males and females. We have also plot boxplot in our study to compare between two categorical data and shows the skewness between two. Following is the research questionnaire which we conducted in our class and the data was collected. research questionnaire1. Gender Categorical variables Female Male

2. How many hours do you get to sleep every night on an average? 1 7 2 8 3 9 4 10 5 11 6 12

Data collectedData collected for Males6 , 9 , 9 , 6, 5 , 7 , 8, 7, 6, 8, 9, 4, 6, 7, 6, 6, 7, 9, 10, 6, 8, 8, 9, 6, 8, 6, 7, 5, 8, 5

Data collected for Females5 , 8 , 4 , 7, 8 , 7, 9, 5, 6, 8, 6, 7, 4, 6, 7, 9, 9, 10 , 6, 5, 7, 7, 9, 8, 6, 8, 7, 7, 9, 6

Relative frequency distribution-malesClassFrequencyCumulative FrequencyRelative FrequencyCumulative Relative freq.3 up to 4000%0%4 up to 5113%3%5 up to 63410%13%6 up to 791330%43%7 up to 851817%60%8 up to 962420%80%9 up to 1052917%97%10 up to 111303%100%Total30100%The highest Relative frequency in Males is 30% with 43% of Cumulative Relative Frequency, which comes under the class of 6 up to 7.

The lowest Relative frequency comes under the class of 3 up to 4, that is 0% with 0% of Cumulative Relative Frequency.Relative frequency distribution-femalesClassFrequencyCumulative FrequencyRelativeFrequencyCumulative Relative freq.3 up to 4000%0%4 up to 5000%0%5 up to 65517%17%6 up to 761120%37%7 up to 881927%63%8 up to 952417%80%9 up to 1052917%97%10 up to 111303%100%Total30100%The highest relative frequency is 27% with 63% of Cumulative Relative Frequency and that comes under the class of 7 up to 8The lowest Relative Frequency in Females is o% with 0% of Cumulative Relative Frequency and that comes under two classes that is 3 up to 4and 4 up to 5Bar graph representing sleep hoursMaximum percentage of females that is 27% gets sleep of 7 upto 8 hours in a day.

Maximum percentage of males that is 30% gets sleep of 6 upto 7 hours a day.Mean, median, mode, standard deviationMalesMean7.033333333Standard Error0.273266042Median7Mode6Standard Deviation1.496739752Sample Variance2.240229885Kurtosis-0.770320818Skewness0.071645374Range6Minimum4Maximum10Sum211Count30Largest(1)10Confidence Level(95.0%)0.558892FemalesMean7Standard Error0.283654314Median7Mode7Standard Deviation1.553638666Sample Variance2.413793103Kurtosis-0.556138646Skewness-0.118221484Range6Minimum4Maximum10Sum210Count30Largest(1)10Confidence Level(95.0%)0.536506504Here the Median, Range, Minimum Value, Maximum Value, The Largest Value and the Smallest value in both Males and Females are the sameWe have slightest difference in Mean, Standard Deviation, Modein both tables.Here the Standard deviation in Males is 1.49 and in Females is 1.55 , Hence there is not much deviation for a group as a whole..Standard deviation:Five number summary-malesFive-Number SummaryMinimum4.00First quartile6.00Median7.00Third quartile8.00Maximum10.00Five number summary-femalesFive-Number SummaryMinimum5.00First quartile6.00Median7.00Third quartile8.00Maximum10.00Comparison of 5 number summary of each distributionAs we can see from the boxplot for males, it is normally distributed and for females it is right tailed with the skewness of 0.11.The maximum value for each distribution is same as 10 hours.The minimum value for males is 4 and for females is 5.Median is same for both as 7.1st and 3rd quartile values are same for each distribution i.e. 6 and 8.

Confidence level for males & femalesAs the mean value for males lies between the confidence level, the mean is not significantly zero. And same goes for females.Confidence Estimate for the Mean- MalesDataPopulation Standard Deviation1.49Sample Mean7.03Sample Size30Confidence Level95%Intermediate CalculationsStandard Error of the Mean0.272036Z Value-1.9600Interval Half Width0.5332Confidence IntervalInterval Lower Limit6.4968Interval Upper Limit7.5632Confidence Estimate for the Mean-femalesDataPopulation Standard Deviation1.55Sample Mean7Sample Size30Confidence Level95%Intermediate CalculationsStandard Error of the Mean0.28299Z Value-1.9600Interval Half Width0.5547Confidence IntervalInterval Lower Limit6.4453Interval Upper Limit7.5547