Read the following scenario on a survey that you have conducted on the citizens of Dhaka city for your final assignment. Then answer the following questions.

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

1. Quantitative data: Height and Weight of the people; and
2. 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:

1. 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.
2. 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)
3. Calculate the Mean, Variance and Standard deviation for both the variables. And interpret them. (Use these information throughout the assignment while answering questions related to the quantitative variables and hypothesis testing) (Hint: Chapter 3, use concepts from grouped data)
4. Draw a Polygon and explain the shape of the polygon. (Hint: Chapter 2)
5. Using Empirical Rule, find at least what percentage of people in this group have weight between 90 and 120 pounds? (Hint: Chapter 3)
6. Find the probability that the height of a randomly selected person from Dhaka city will be between 150cm and 160cm. (Hint: Chapter 6)
7. 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 of Dhaka city. (Hint: Chapter 8)

1. For qualitative data collected answer the following questions:
2. Draw the frequency distributions and calculate relative frequencies and relative frequency percentages for the qualitative variables. (Number of classes should be 2)
3. Draw a two-way classification table of the responses (Male-Female and In-favor-Against) (Hint: Chapter 4)
4. 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)
5. 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)
6. What is the probability that a randomly selected person is a Male or in favor of the statement? (Hint: Chapter 4)

1. Hypothesis testing questions:
2. 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)
3. 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)

Page 1 of 2 - ZOOM + 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 61Page of 2 - ZOOM + 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 136Page of 2 - ZOOM + 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 89Page 1 of 2 - ZOOM + 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 89Page of 2 - ZOOM + 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 55Page