Gender (Qualitative)	Decision on dress code (Qualitative)	Height (centimetres)	Weight (pounds)
Female	Against	199	92
Male	Against	199	156
Male	Against	199	99
Female	Against	198	145
Female	Against	198	50
Male	Against	198	50
Male	In favor	198	136
Male	In favor	198	109
Female	Against	197	154
Male	Against	197	119
Male	Against	197	88
Female	In favor	197	114
Female	In favor	197	72
Male	In favor	197	149
Male	In favor	197	125
Female	Against	196	159
Female	Against	196	50
Male	Against	196	116
Male	Against	196	69
Female	In favor	196	131
Female	In favor	196	122
Female	Against	195	147
Female	Against	195	104
Female	Against	195	65
Male	Against	195	153
Male	Against	195	126
Male	Against	195	69
Female	In favor	195	104
Female	In favor	195	61
Male	In favor	195	98
Male	In favor	195	81
Female	Against	194	111
Male	Against	194	115
Male	Against	194	106
Female	In favor	194	136
Male	In favor	194	108
Female	Against	193	61
Male	Against	193	151
Male	Against	193	130
Male	In favor	193	65
Male	In favor	193	54
Female	Against	192	139
Female	Against	192	101
Female	Against	192	90
Male	Against	192	101
Female	In favor	192	140
Female	In favor	192	108
Female	Against	191	68
Male	Against	191	146
Male	Against	191	62
Male	Against	191	62
Female	In favor	191	54
Male	In favor	191	96
Male	In favor	191	79
Female	Against	190	118
Female	Against	190	105
Female	Against	190	50
Male	Against	190	95
Male	Against	190	83
Male	Against	190	80
Female	In favor	190	156
Male	In favor	190	135
Male	In favor	190	50
Female	Against	189	132
Female	Against	189	125
Female	Against	189	124
Male	In favor	189	104
Male	In favor	189	87
Female	Against	188	115
Female	Against	188	99
Female	Against	188	90
Female	Against	188	80
Male	Against	188	123
Male	Against	188	100
Male	Against	188	99
Male	Against	188	57
Male	Against	188	54
Female	In favor	188	128
Female	In favor	188	122
Male	In favor	188	141
Male	In favor	188	114
Male	In favor	188	81
Male	In favor	188	65
Female	Against	187	130
Female	Against	187	121
Female	Against	187	92
Female	Against	187	89
Female	Against	187	70
Male	Against	187	138
Male	Against	187	122
Male	Against	187	96
Female	In favor	187	102
Female	In favor	187	94
Male	In favor	187	140
Male	In favor	187	136
Male	In favor	187	80
Male	In favor	187	62
Female	Against	186	143
Female	Against	186	140
Female	Against	186	137
Female	Against	186	128
Male	Against	186	118
Female	In favor	186	148
Female	In favor	186	146
Female	In favor	186	127
Male	In favor	186	68
Female	Against	185	119
Female	Against	185	110
Female	Against	185	94
Female	Against	185	81
Female	Against	185	52
Male	Against	185	139
Male	Against	185	76
Female	In favor	185	140
Female	In favor	185	102
Female	In favor	185	100
Male	In favor	185	60
Female	Against	184	152
Female	Against	184	147
Female	Against	184	132
Female	Against	184	106
Female	Against	184	86
Male	Against	184	157
Male	Against	184	57
Female	In favor	184	160
Female	In favor	184	121
Female	In favor	184	76
Male	In favor	184	153
Male	In favor	184	83
Female	Against	183	96
Female	Against	183	87
Female	Against	183	79
Male	Against	183	147
Male	Against	183	138
Male	Against	183	131
Female	In favor	183	150
Female	In favor	183	76
Female	In favor	183	50
Male	In favor	183	153
Male	In favor	183	105
Female	Against	182	149
Female	Against	182	84
Female	Against	182	84
Male	Against	182	151
Male	Against	182	108
Male	Against	182	104
Male	Against	182	70
Male	Against	182	50
Female	In favor	182	143
Female	In favor	182	126
Male	In favor	182	98
Male	In favor	182	73
Female	Against	181	106
Female	Against	181	94
Female	Against	181	80
Male	Against	181	154
Male	Against	181	111
Male	Against	181	105
Male	Against	181	78
Female	In favor	181	111
Male	In favor	181	141
Male	In favor	181	139
Male	In favor	181	51
Female	Against	180	156
Female	Against	180	70
Female	Against	180	58
Male	Against	180	75
Female	In favor	180	60
Female	In favor	180	59
Male	In favor	180	149
Male	In favor	180	73
Female	Against	179	158
Female	Against	179	150
Female	Against	179	114
Male	Against	179	152
Male	Against	179	130
Male	Against	179	110
Male	Against	179	93
Male	Against	179	83
Female	In favor	179	103
Female	In favor	179	67
Male	In favor	179	127
Male	In favor	179	123
Male	In favor	179	56
Male	In favor	179	56
Female	Against	178	107
Female	Against	178	79
Female	Against	178	65
Male	Against	178	160
Male	Against	178	142
Male	Against	178	138
Male	Against	178	117
Male	Against	178	85
Male	Against	178	83
Female	In favor	178	154
Male	In favor	178	140
Male	In favor	178	127
Male	In favor	178	52
Female	Against	177	155
Female	Against	177	101
Female	Against	177	81
Female	Against	177	61
Male	Against	177	61
Female	In favor	177	117
Female	In favor	177	96
Male	In favor	177	117
Male	In favor	177	117
Female	Against	176	156
Female	Against	176	122
Female	Against	176	121
Male	Against	176	109
Female	In favor	176	54
Male	In favor	176	87
Male	In favor	176	77
Female	Against	175	141
Female	Against	175	120
Female	Against	175	83
Male	In favor	175	135
Female	Against	174	65
Male	Against	174	96
Male	Against	174	95
Male	Against	174	90
Male	In favor	174	138
Male	In favor	174	107
Male	In favor	174	90
Male	In favor	174	54
Male	Against	173	139
Male	Against	173	131
Female	In favor	173	82
Male	In favor	173	111
Female	Against	172	116
Female	Against	172	109
Female	Against	172	90
Female	Against	172	67
Female	Against	172	62
Male	Against	172	139
Male	Against	172	105
Male	Against	172	92
Female	In favor	172	111
Female	In favor	172	108
Female	In favor	172	96
Male	In favor	172	75
Female	Against	171	155
Female	Against	171	131
Female	Against	171	120
Male	Against	171	147
Female	In favor	171	152
Female	In favor	171	118
Male	In favor	171	147
Male	In favor	171	141
Female	Against	170	53
Male	Against	170	115
Male	Against	170	95
Male	Against	170	81
Female	In favor	170	156
Female	In favor	170	102
Female	Against	169	145
Female	Against	169	98
Female	Against	169	97
Female	Against	169	54
Male	Against	169	141
Male	Against	169	136
Female	In favor	169	121
Female	In favor	169	103
Female	In favor	169	88
Male	In favor	169	110
Female	Against	168	143
Female	Against	168	140
Female	Against	168	115
Female	Against	168	90
Female	Against	168	87
Male	Against	168	158
Male	Against	168	148
Male	Against	168	50
Female	In favor	168	139
Female	In favor	168	135
Female	In favor	168	59
Male	In favor	168	160
Male	In favor	168	123
Female	Against	167	153
Female	Against	167	135
Female	Against	167	110
Female	Against	167	79
Female	Against	167	58
Male	Against	167	64
Female	In favor	167	85
Female	In favor	167	85
Male	In favor	167	151
Female	Against	166	153
Female	Against	166	140
Female	Against	166	126
Male	Against	166	70
Male	Against	166	61
Female	In favor	166	144
Female	In favor	166	133
Male	In favor	166	160
Male	In favor	166	107
Female	Against	165	83
Female	Against	165	57
Male	Against	165	143
Male	Against	165	104
Male	Against	165	80
Male	Against	165	62
Female	In favor	165	95
Male	In favor	165	155
Male	In favor	165	105
Male	In favor	165	68
Female	Against	164	160
Female	Against	164	82
Female	Against	164	71
Female	Against	164	59
Male	Against	164	75
Female	In favor	164	142
Female	In favor	164	126
Female	In favor	164	71
Female	In favor	164	70
Female	Against	163	159
Female	Against	163	154
Female	Against	163	63
Male	Against	163	137
Male	Against	163	131
Female	In favor	163	57
Male	In favor	163	123
Male	In favor	163	110
Female	Against	162	74
Female	Against	162	64
Female	Against	162	58
Male	Against	162	130
Male	Against	162	97
Male	Against	162	58
Female	In favor	162	159
Female	In favor	162	68
Male	In favor	162	157
Female	Against	161	145
Female	Against	161	134
Male	Against	161	118
Male	Against	161	103
Male	Against	161	89
Female	In favor	161	154
Male	In favor	161	155
Male	In favor	161	115
Male	In favor	161	72
Female	Against	160	131
Female	Against	160	124
Female	Against	160	83
Male	Against	160	156
Female	In favor	160	109
Female	In favor	160	51
Male	In favor	160	139
Female	Against	159	104
Female	Against	159	80
Male	Against	159	154
Male	Against	159	140
Male	Against	159	120
Male	Against	159	104
Male	In favor	159	145
Male	In favor	159	124
Male	In favor	159	109
Female	Against	158	153
Female	Against	158	149
Male	Against	158	96
Male	In favor	158	127
Male	In favor	158	95
Female	Against	157	153
Female	Against	157	103
Female	Against	157	60
Female	Against	157	56
Female	Against	157	52
Male	Against	157	56
Female	In favor	157	110
Female	In favor	157	66
Male	In favor	157	110
Male	In favor	157	74
Female	Against	156	126
Female	Against	156	106
Female	Against	156	89
Female	In favor	156	52
Male	In favor	156	137
Male	In favor	156	74
Female	Against	155	144
Female	Against	155	115
Male	Against	155	51
Female	In favor	155	111
Female	In favor	155	71
Male	In favor	155	57
Female	Against	154	96
Male	Against	154	145
Male	Against	154	112
Male	Against	154	100
Male	Against	154	81
Male	Against	154	54
Female	In favor	154	132
Female	In favor	154	92
Male	In favor	154	111
Male	In favor	154	105
Female	Against	153	149
Female	Against	153	107
Female	Against	153	77
Male	Against	153	121
Male	Against	153	104
Male	Against	153	70
Female	In favor	153	146
Female	In favor	153	133
Female	In favor	153	78
Female	In favor	153	51
Female	Against	152	154
Female	Against	152	114
Female	Against	152	90
Male	Against	152	146
Male	Against	152	132
Male	Against	152	98
Male	In favor	152	141
Male	In favor	152	103
Female	Against	151	158
Female	Against	151	55
Male	Against	151	82
Male	Against	151	62
Female	In favor	151	67
Female	In favor	151	64
Male	In favor	151	154
Male	In favor	151	114
Female	Against	150	144
Female	Against	150	119
Female	Against	150	84
Female	Against	150	60
Female	Against	150	50
Male	Against	150	95
Male	Against	150	74
Female	In favor	150	153
Female	In favor	150	97
Female	In favor	150	87
Female	In favor	150	70
Female	Against	149	108
Female	Against	149	61
Male	Against	149	100
Male	In favor	149	66
Male	In favor	149	61
Female	Against	148	67
Female	Against	148	54
Male	Against	148	141
Male	In favor	148	155
Male	In favor	148	60
Female	Against	147	126
Female	Against	147	107
Female	Against	147	94
Male	Against	147	142
Female	In favor	147	67
Male	In favor	147	92
Male	In favor	147	84
Female	Against	146	157
Female	Against	146	147
Female	Against	146	110
Female	Against	146	104
Male	Against	146	85
Male	Against	146	70
Female	In favor	146	123
Female	In favor	146	101
Male	In favor	146	138
Female	Against	145	141
Female	Against	145	79
Male	Against	145	160
Male	Against	145	108
Male	Against	145	99
Male	In favor	145	142
Male	In favor	145	130
Male	In favor	145	117
Male	In favor	145	78
Female	Against	144	66
Male	Against	144	88
Male	Against	144	80
Male	In favor	144	145
Male	In favor	144	108
Male	Against	143	149
Female	In favor	143	118
Male	In favor	143	88
Female	Against	142	159
Female	Against	142	86
Female	Against	142	86
Male	Against	142	135
Male	Against	142	131
Male	Against	142	91
Female	In favor	142	137
Male	In favor	142	71
Male	In favor	142	69
Female	Against	141	143
Female	Against	141	126
Male	Against	141	94
Male	Against	141	86
Male	Against	141	85
Female	In favor	141	136
Male	In favor	141	80
Male	In favor	141	80
Male	Against	140	152
Male	Against	140	146
Male	Against	140	129
Male	Against	140	52
Female	In favor	140	146
Female	In favor	140	76
Male	In favor	140	143
Male	In favor	140	79

You have conducted a survey on 500 people (sample size) of Dhaka city for your final
assignment. Your population is all the citizens of Dhaka city.
You have collected two types of data from the people

A. Quantitative data: Height and Weight of the people; and
B. Qualitative data: Gender and Opinion of the people on having fixed dress codes
for the students in schools. (The uploaded excel file contains the data set that you
have collected from these 500 people)

Three years ago a Census was conducted on all the people living in Dhaka city which found the
following information on the population,
 Height: Average is 164 centimeters and Standard deviation is 12 centimeters.
 Weight: Average is 120 pounds and Standard deviation is 25 pounds.

Questions to be answered:

A. For quantitative data collected answer the following questions: Assume that the quantitative values (height and weight) provided by the people in both your
sample and population are normally distributed.

1. Draw the frequency distributions and calculate relative frequencies and relative frequency percentages for the quantitative variables (Number of classes should be 5). Decide on the type of the variables (Discrete or Continuous variable). (Hint: Chapter 2)
2. Calculate the Mean, Variance and Standard deviation for both the variables. And interpret them. (Use this information throughout the assignment while answering questions related to the quantitative variables and hypothesis testing) (Hint: Chapter 3, use concepts from grouped data)
3. Draw a Polygon and explain the shape of the polygon. (Hint: Chapter 2)

4. Using Empirical Rule, find at least what percentage of people in this group have weight between 90 and 120 pounds? (Hint: Chapter 3)
5. Find the probability that the height of a randomly selected person from Dhaka city will be between 150cm and 160cm. (Hint: Chapter 6)
6. Assume that heights and weights provided by the people in your sample are normally distributed. What is the point estimate of the mean height of all the people living in Dhaka city? Construct 95% confidence intervals for the mean height of all the citizens ofDhaka city. (Hint: Chapter 8)
 
B. For qualitative data collected answer the following questions:
7. Draw the frequency distributions and calculate relative frequencies and relative frequency percentages for the qualitative variables. (Number of classes should be 2)
8. Draw a two-way classification table of the responses (Male-Female and In-favor-Against)
(Hint: Chapter 4)
9. Calculate the conditional probability that a randomly selected person is a female given that she is in favor of having fixed dress codes for the people in schools. Draw the Tree diagram. (Hint: Chapter 4)
10. If one person from the sample is selected at random, then what is the probability that this person is a female and in favor of the statement? (Hint: Chapter 4)
11. What is the probability that a randomly selected person is a Male or in favor of the statement? (Hint: Chapter 4)

C. Hypothesis testing questions:
12. Using 5% significance level, can you conclude that the mean height of all citizens living in Dhaka city has increased during the last three years? (use P value approach) (Chapter
9)
13. Using the 10% significance level, can you conclude that the mean weight of all citizens living in Dhaka city is different from 120 pounds? (use critical value approach) (Chapter
9)