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Statistics and Probability
In each of the following research situations below, determine whether the data should be analyzed with a parametric test, a nonparametric test, or both. Give reasons for your answer in each situation.
(i). You want to compare males and females scores obtained from an aptitude test where scores on the aptitude test range between 0 and 100.
(ii). You want to find out whether or not basketball players are taller than the general population.
(iii). You want to find out whether or not a difference exists between males and females in their like or dislike for statistics.
(iv). You want to find out among a sample of eligible voters in the Ghanaian population, whether the political party they voted for in the 2016 general elections was the same as the political party they voted for in the 2012 general elections.
(v).You want to compare two groups of university students on their levels of intelligence, where intelligence scores could range between 30 and 150
(i). You want to compare males and females scores obtained from an aptitude test where scores on the aptitude test range between 0 and 100.
(ii). You want to find out whether or not basketball players are taller than the general population.
(iii). You want to find out whether or not a difference exists between males and females in their like or dislike for statistics.
(iv). You want to find out among a sample of eligible voters in the Ghanaian population, whether the political party they voted for in the 2016 general elections was the same as the political party they voted for in the 2012 general elections.
(v).You want to compare two groups of university students on their levels of intelligence, where intelligence scores could range between 30 and 150
Statistics and Probability
Our class is creating a new academic team, the Data Managers. The team will have 4 members to perform different tasks: collector, analyser, grapher, and recorder. 10 people in class want to be on the team, so we pick a random team out of the 10.
If exactly 4 boys volunteer, what is the probability that the team is all boys or no boys? Evaluate your answer.
What is the probability that Student 1 and Student 2 are on the team? Evaluate your answer.
With two teacher coaches, the team of four takes a picture (6 people in picture). What is the probability that the teachers are together in the picture? Evaluate your answer.
If exactly 4 boys volunteer, what is the probability that the team is all boys or no boys? Evaluate your answer.
What is the probability that Student 1 and Student 2 are on the team? Evaluate your answer.
With two teacher coaches, the team of four takes a picture (6 people in picture). What is the probability that the teachers are together in the picture? Evaluate your answer.
Statistics and Probability
Using the table below, construct the following:
a. Grouped Frequency Distributions Table
b. Mean, Median, Mode
c. Mean Deviation
d. Variance and Standard deviation
10 13 24 30 18 34 38 26 42 23
45 47 36 14 1 46 42 44 27 12
36 8 28 37 2 11 4 1 48 43
25 3 22 20 38 8 22 43 29 50
36 37 19 31 35 1 13 7 17 20
6 33 49 38 45 1 41 19 16 9
a. Grouped Frequency Distributions Table
b. Mean, Median, Mode
c. Mean Deviation
d. Variance and Standard deviation
10 13 24 30 18 34 38 26 42 23
45 47 36 14 1 46 42 44 27 12
36 8 28 37 2 11 4 1 48 43
25 3 22 20 38 8 22 43 29 50
36 37 19 31 35 1 13 7 17 20
6 33 49 38 45 1 41 19 16 9
Statistics and Probability
~Include a normal curve/t distribution curve.
~Your final answer must be a concluding statement.
Determine the following:
Type of Variable
i. A CVSM study found that cats that consume milktea have shorter life expectancies compared to those that are provided with regular water.
ii. A NATO survey wanted to find if drivers were willing to drive at night provided a higher fare is imposed to night trips.
~Your final answer must be a concluding statement.
Determine the following:
Type of Variable
i. A CVSM study found that cats that consume milktea have shorter life expectancies compared to those that are provided with regular water.
ii. A NATO survey wanted to find if drivers were willing to drive at night provided a higher fare is imposed to night trips.
Statistics and Probability
~Include a normal curve/t distribution curve.
~Your final answer must be a concluding statement.
The length of the chicken joy thigh parts, in centimeters, are given below:
7.14, 6.65, 6.76, 6.85, 6.18, 7.47, 7.81, 7.24, 7.20, 6.74
1. Find the sample mean and standard deviation.
2. Find the 95% confidence interval for the mean.
3. Find the 99% confidence interval for the mean.
~Your final answer must be a concluding statement.
The length of the chicken joy thigh parts, in centimeters, are given below:
7.14, 6.65, 6.76, 6.85, 6.18, 7.47, 7.81, 7.24, 7.20, 6.74
1. Find the sample mean and standard deviation.
2. Find the 95% confidence interval for the mean.
3. Find the 99% confidence interval for the mean.
Statistics and Probability
~Include a normal curve/t distribution curve.
~Your final answer must be a concluding statement.
To determine the views of students on a particular campus about palabok, an 11-point attitude scale was administered to a random sample of 40 students. This survey yielded a sample of 6 and a standard deviation of 1.5
1. Compute for the standard error of the mean.
2. Find the 95% confidence interval for the population mean.
3. Find the 99% confidence interval for the population mean.
~Your final answer must be a concluding statement.
To determine the views of students on a particular campus about palabok, an 11-point attitude scale was administered to a random sample of 40 students. This survey yielded a sample of 6 and a standard deviation of 1.5
1. Compute for the standard error of the mean.
2. Find the 95% confidence interval for the population mean.
3. Find the 99% confidence interval for the population mean.
Statistics and Probability
~Include a normal curve/t distribution curve.
~Your final answer must be a concluding statement.
Suppose that the population standard deviation for a normally distributed standardized test of achievement is known to be 7.20. What would the standard error of the sample mean be if we were to draw a random sample of 16 test scores?
Statistics and Probability
The time (X) needed to complete a final examination in a particular college course is normally distributed with a mean of 61 minutes and a standard deviation of 9 minutes.
1.1) What is the probability of completing the exam in less than 72 minutes (inclusive)? (4)
1.2) What is the probability that a student will complete the exam in more than 75 minutes (inclusive) but less than 80 minutes(inclusive)? (6)
1.1) What is the probability of completing the exam in less than 72 minutes (inclusive)? (4)
1.2) What is the probability that a student will complete the exam in more than 75 minutes (inclusive) but less than 80 minutes(inclusive)? (6)
Statistics and Probability
Suppose that a market research rm is hired to estimate the percent of adults living in a large
city who have cell phones. 500 randomly selected adult residents in this city are surveyed to
determine whether they have cell phones. Of the 500 people surveyed, 421 responded yes – they own cell phones.
3.1) Using a 90% confidence level, compute a confidence interval estimate for the true
proportion of adults residents of this city who have cell phones.(6)
3.2) Using a 99% confidence level, compute a confidence interval estimate for the true
proportion of adults residents of this city who have cell phones. (4)
3.3) Comment on the findings between questions 3.1 & 3.2 (2)
city who have cell phones. 500 randomly selected adult residents in this city are surveyed to
determine whether they have cell phones. Of the 500 people surveyed, 421 responded yes – they own cell phones.
3.1) Using a 90% confidence level, compute a confidence interval estimate for the true
proportion of adults residents of this city who have cell phones.(6)
3.2) Using a 99% confidence level, compute a confidence interval estimate for the true
proportion of adults residents of this city who have cell phones. (4)
3.3) Comment on the findings between questions 3.1 & 3.2 (2)
Statistics and Probability
A research firm conducted a survey to determine the mean amount of money smokers spend on cigarettes during a day. A sample of 100 smokers revealed that the sample mean is N$ 5.24 and sample standard deviation is N$ 2.18 Assume that the sample was drawn from a normal population.
2.1) Find the point estimate of the population mean (2)
2.2) Determine the lower limit of the 95% confidence interval for estimating the unknown population mean. (5)
2.3) Determine the upper limit of the 95% confidence interval for estimating the unknown population mean. (3)
2.4) Find the width of the 95% confidence interval for estimating the unknown population mean (2)
2.5) Use the data provided above to test a claim at a 1 % Level of Significance that the unknown population mean of spending amount on cigarettes is N$ 5.00 (8)
2.1) Find the point estimate of the population mean (2)
2.2) Determine the lower limit of the 95% confidence interval for estimating the unknown population mean. (5)
2.3) Determine the upper limit of the 95% confidence interval for estimating the unknown population mean. (3)
2.4) Find the width of the 95% confidence interval for estimating the unknown population mean (2)
2.5) Use the data provided above to test a claim at a 1 % Level of Significance that the unknown population mean of spending amount on cigarettes is N$ 5.00 (8)
