Instructions: This assignment should submitted using google classroom. All students have been invited to join the classroom. The date for submission is 13th March, 2021. A national survey asked 1261 Ghanaian Adults, the meal (breakfast, Lunch and Supper) they do not skip within the day. Identify the variable Is the variable quantitative or qualitative? What is the implied population? Categorize these measurement associated with students’ life according to level: nominal, ordinal, interval and ratio. Length of time to complete exams Time of first class Course evaluation scale: Poor, acceptable, good Score on last exams (based on 100 possible points) Age of students Gender of students Home region of students State the properties of the following measures of central tendency. For each, give three advantage and disadvantages of their use in statistical analysis. Mean Median Mode The traffic lights at various place in the city were tested for efficiency at 90% breakdown strength. The following data represent time to failure (in hours) for a random sample of 50 traffic lights. 0.54 1.80 1.52 2.05 1.03 1.18 0.80 1.33 1.29 1.11 3.34 1.54 0.08 0.12 0.60 0.72 0.92 1.05 1.43 3.03 1.81 2.17 0.63 0.52 0.03 0.09 0.18 0.34 1.51 1.45 1.52 0.19 1.55 0.02 0.07 0.65 0.40 0.24 1.51 1.45 1.60 1.80 4.69 0.08 7.89 1.58 1.64 0.03 0.23 0.72 What is the range for the test values Computer the Sample mean Variance Standard deviation for the time to failure Compute the coefficient of variation. What does this number say about time to failure The Summary statistics for two samples of data are Sample 1: mean = 19 variance = 10 Sample 2: mean = 10 variance = 19 Which sample has the larger spread of observations? The average number of hours worked per week for college students is 27, and the standard deviation is 6. Assume the data is normally distributed. Determine the z-score for 35 hours. Determine the probability of someone working at least 35 hours. Determine the margin of error with 95% confidence if 64 people were surveyed. Determine the 95% confidence interval. A sample of 40 speedometer for “Pragia” is obtained in Tamale and each is calibrated to check for accuracy at 55kmh. The resulting sample average and sample standard deviation are 53.8 and 1.3 respectively. Does the sample information suggest that the true mean for the speedometers is not accurate at 55kmh? Use an alpha level of 0.01. A random sample of 30 households was selected as part of a study on electricity usage, and the number of kilowatt-hours (kWh) was recorded for each household in the sample for the March quarter of 2006. The average usage was found to be 375kWh. In a very large study in the March quarter of the previous year it was found that the standard deviation of the usage was 81kWh. Assuming the standard deviation is unchanged and that the usage is normally distributed, provide an expression for calculating a 99% confidence interval for the mean usage in the March quarter of 2006. A random sample of 100 preschool children in Kadjebi revealed that only 60 had been vaccinated for Yellow Fever. Provide an approximate 95% confidence interval for the proportion vaccinated in that suburb. In exploring possible sites for a convenience store in a large neighbourhood, the retail chain wants to know the proportion of ratepayers in favour of the proposal. If the estimate is required to be within 0.1 of the true proportion, would a random sample of size n = 100 from the council records be sufficient for a 95% confidence interval of this precision? To obtain an estimate of the proportion of ‘full time’ university students who have a part time job in excess of 20 hours per week, the student union decides to interview a random sample of full time students. They want the length of their 95% confidence interval to be no greater than 0.1. What size sample, n should be taken? Assume that in a certain district the average monthly income of persons aged 20 to 40 is GHS1300.00 with a standard deviation of GHS100. A random sample of 64 persons aged 20 to 40 from village x of the same district has an average monthly income of GHS1320.00. Does the average monthly income of the dwellers of the village (aged 20 to 40) differ from that of the inhabitants of the district (aged 20 to 40) in general, at a 5% Level of significance?

Instructions: This assignment should submitted using google classroom. All students have been invited to join the classroom. The date for submission is 13th March, 2021. A national survey asked 1261 Ghanaian Adults, the meal (breakfast, Lunch and Supper) they do not skip within the day. Identify the variable Is the variable quantitative or qualitative? What is the implied population? Categorize these measurement associated with students’ life according to level: nominal, ordinal, interval and ratio. Length of time to complete exams Time of first class Course evaluation scale: Poor, acceptable, good Score on last exams (based on 100 possible points) Age of students Gender of students Home region of students State the properties of the following measures of central tendency. For each, give three advantage and disadvantages of their use in statistical analysis. Mean Median Mode The traffic lights at various place in the city were tested for efficiency at 90% breakdown strength. The following data represent time to failure (in hours) for a random sample of 50 traffic lights. 0.54 1.80 1.52 2.05 1.03 1.18 0.80 1.33 1.29 1.11 3.34 1.54 0.08 0.12 0.60 0.72 0.92 1.05 1.43 3.03 1.81 2.17 0.63 0.52 0.03 0.09 0.18 0.34 1.51 1.45 1.52 0.19 1.55 0.02 0.07 0.65 0.40 0.24 1.51 1.45 1.60 1.80 4.69 0.08 7.89 1.58 1.64 0.03 0.23 0.72 What is the range for the test values Computer the Sample mean Variance Standard deviation for the time to failure Compute the coefficient of variation. What does this number say about time to failure The Summary statistics for two samples of data are Sample 1: mean = 19 variance = 10 Sample 2: mean = 10 variance = 19 Which sample has the larger spread of observations? The average number of hours worked per week for college students is 27, and the standard deviation is 6. Assume the data is normally distributed. Determine the z-score for 35 hours. Determine the probability of someone working at least 35 hours. Determine the margin of error with 95% confidence if 64 people were surveyed. Determine the 95% confidence interval. A sample of 40 speedometer for “Pragia” is obtained in Tamale and each is calibrated to check for accuracy at 55kmh. The resulting sample average and sample standard deviation are 53.8 and 1.3 respectively. Does the sample information suggest that the true mean for the speedometers is not accurate at 55kmh? Use an alpha level of 0.01. A random sample of 30 households was selected as part of a study on electricity usage, and the number of kilowatt-hours (kWh) was recorded for each household in the sample for the March quarter of 2006. The average usage was found to be 375kWh. In a very large study in the March quarter of the previous year it was found that the standard deviation of the usage was 81kWh. Assuming the standard deviation is unchanged and that the usage is normally distributed, provide an expression for calculating a 99% confidence interval for the mean usage in the March quarter of 2006. A random sample of 100 preschool children in Kadjebi revealed that only 60 had been vaccinated for Yellow Fever. Provide an approximate 95% confidence interval for the proportion vaccinated in that suburb. In exploring possible sites for a convenience store in a large neighbourhood, the retail chain wants to know the proportion of ratepayers in favour of the proposal. If the estimate is required to be within 0.1 of the true proportion, would a random sample of size n = 100 from the council records be sufficient for a 95% confidence interval of this precision? To obtain an estimate of the proportion of ‘full time’ university students who have a part time job in excess of 20 hours per week, the student union decides to interview a random sample of full time students. They want the length of their 95% confidence interval to be no greater than 0.1. What size sample, n should be taken? Assume that in a certain district the average monthly income of persons aged 20 to 40 is GHS1300.00 with a standard deviation of GHS100. A random sample of 64 persons aged 20 to 40 from village x of the same district has an average monthly income of GHS1320.00. Does the average monthly income of the dwellers of the village (aged 20 to 40) differ from that of the inhabitants of the district (aged 20 to 40) in general, at a 5% Level of significance?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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This assignment should submitted using google classroom. All students have been invited to join the classroom. The date for submission is 13^th March, 2021.

A national survey asked 1261 Ghanaian Adults, the meal (breakfast, Lunch and Supper) they do not skip within the day.
1. Identify the variable
2. Is the variable quantitative or qualitative?
3. What is the implied population?

Categorize these measurement associated with students’ life according to level: nominal, ordinal, interval and ratio.
1. Length of time to complete exams
2. Time of first class
3. Course evaluation scale: Poor, acceptable, good
4. Score on last exams (based on 100 possible points)
5. Age of students
6. Gender of students
7. Home region of students

State the properties of the following measures of central tendency. For each, give three advantage and disadvantages of their use in statistical analysis.
1. Mean
2. Median
3. Mode

The traffic lights at various place in the city were tested for efficiency at 90% breakdown strength. The following data represent time to failure (in hours) for a random sample of 50 traffic lights.

0.54	1.80	1.52	2.05	1.03	1.18	0.80	1.33	1.29	1.11
3.34	1.54	0.08	0.12	0.60	0.72	0.92	1.05	1.43	3.03
1.81	2.17	0.63	0.52	0.03	0.09	0.18	0.34	1.51	1.45
1.52	0.19	1.55	0.02	0.07	0.65	0.40	0.24	1.51	1.45
1.60	1.80	4.69	0.08	7.89	1.58	1.64	0.03	0.23	0.72

What is the range for the test values
Computer the
1. Sample mean
2. Variance

Standard deviation for the time to failure

Compute the coefficient of variation. What does this number say about time to failure

The Summary statistics for two samples of data are

Sample 1: mean = 19 variance = 10

Sample 2: mean = 10 variance = 19

Which sample has the larger spread of observations?

The average number of hours worked per week for college students is 27, and the standard deviation is 6. Assume the data is normally distributed.
Determine the z-score for 35 hours.
Determine the probability of someone working at least 35 hours.
Determine the margin of error with 95% confidence if 64 people were surveyed.
Determine the 95% confidence interval.

A sample of 40 speedometer for “Pragia” is obtained in Tamale and each is calibrated to check for accuracy at 55kmh. The resulting sample average and sample standard deviation are 53.8 and 1.3 respectively. Does the sample information suggest that the true mean for the speedometers is not accurate at 55kmh? Use an alpha level of 0.01.

A random sample of 30 households was selected as part of a study on electricity usage, and the number of kilowatt-hours (kWh) was recorded for each household in the sample for the March quarter of 2006. The average usage was found to be 375kWh. In a very large study in the March quarter of the previous year it was found that the standard deviation of the usage was 81kWh. Assuming the standard deviation is unchanged and that the usage is normally distributed, provide an expression for calculating a 99% confidence interval for the mean usage in the March quarter of 2006.

A random sample of 100 preschool children in Kadjebi revealed that only 60 had been vaccinated for Yellow Fever. Provide an approximate 95% confidence interval for the proportion vaccinated in that suburb.

In exploring possible sites for a convenience store in a large neighbourhood, the retail chain wants to know the proportion of ratepayers in favour of the proposal. If the estimate is required to be within 0.1 of the true proportion, would a random sample of size n = 100 from the council records be sufficient for a 95% confidence interval of this precision?

To obtain an estimate of the proportion of ‘full time’ university students who have a part time job in excess of 20 hours per week, the student union decides to interview a random sample of full time students. They want the length of their 95% confidence interval to be no greater than 0.1. What size sample, n should be taken?

Assume that in a certain district the average monthly income of persons aged 20 to 40 is GHS1300.00 with a standard deviation of GHS100. A random sample of 64 persons aged 20 to 40 from village x of the same district has an average monthly income of GHS1320.00. Does the average monthly income of the dwellers of the village (aged 20 to 40) differ from that of the inhabitants of the district (aged 20 to 40) in general, at a 5% Level of significance?

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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