Search & Filtering
Calculate Karl Pearson’s Coefficient of Correlation X 10 10 11 12 12 y 5 6 4 3
The following output summarizes the results of fitting a least-squares regression to simulated data. Because we constructed these data using a computer, we know the SRM holds and we know the parameters of the model. We chose Beta0 = 7, Beta1 = 0.5, and se = 1.5. The fit is to a sample of n = 50 cases.
- If Beta1 = ½ in the population, then why isn’t b1 = ½?
- Do the 95% confidence intervals for Beta0 and Beta1 contain Beta0 and Beta1 in this example?
- What’s going to change in this summary if we increase the sample size from 50 cases to 5,000 cases?
Mr Mukonda’s perfomance of his 170 Biostatistics class of students is given in an incomplete distribution below.
Variable. Frequency
0-10 12
10-20. 21
20-30 f1
30-40 40
40-50 f2
50-60 26
60-70 18
(a) If the median is 35. Find the missing frequencies
(b) From Rusangu passing mark policy(40%), explain if these results are normally distributed
At the ministry of Health headquators, you are in charge of rationing Southern province the area affected by hunger.
The following reports about daily calorier value of food available per adult during current period arrive from your
local investigaters. The estimated requirement of an adult is taken at 3000 calories per day and the absolute minimum at 1250. Advise the ministry by commenting on the reported figures and determine which in your own opinion needs more urgent attention
Areas of Kaoma Mean Standard deviation
Gwembe 2580 700
Namwala 2300 500
A maximum number of 4 points are available for this question. Part A is worth 1 point. Part B is worth 1 point. Part C is worth 2 points. The producers at a community theater gathered data about attendance at the last 21 performances of their play.Describe any patterns in the scatter plot, such as clustering, outliers, and association. State where these patterns occur.
QUESTION 2
East Texas Seasonings is preparing to build one processing center to serve its four sources of seasonings. The four source locations are at coordinates shown below. Also, the volume from each source is provided. What is the center of gravity?
X-coordinate
Y-coordinate
Volume
Athens, Texas
30
30
150
Beaumont, Texas
20
10
350
Carthage, Texas
10
70
100
Denton, Texas
50
50
400
LOCATION DECISION
QUESTION 1
A clothing chain is considering two different locations for a new retail outlet. They have identified the four factors listed in the following table as the basis for evaluation and have assigned weights as shown. The manager has rated each location on each factor, on a 100-point basis, as shown under the respective columns for Barclay and Chester.
Factor
Factor Description
Weight
Barclay
Chester
1
Average community income
0.40
30
20
2
Community growth potential
0.25
40
30
3
Availability of public transportation
0.15
20
20
4
Labor cost
0.20
10
30
Identify which location suitable for his new retail outlet.
The number of work-related injuries per month in a manufacturing plant is known to follow a Poisson distribution with a mean of 2.5 work-related injuries a month. What is the probability that in a given month no work-related injuries occur? What is the probability that atleast one work-related injury occurs
A random sample of 20 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 sample standard deviation of the usage was 81kWh. Assuming the that the usage is normally distributed, provide an expression for calculating a 95% confidence interval for the mean usage in the March quarter of 2006.
The number of work-related injuries per month in a manufacturing plant is known to follow a Poisson distribution with a mean of 2.5 work-related injuries a month. What is the probability that in a given month no work-related injuries occur? What is the probability that atleast one work-related injury occurs?
