Search & Filtering
B. Less than 50? 1. Convert the raw score of 50 to a z-score. 2. Draw the normal curve and locate the given z-value or values at the base line of the curve. Then draw a vertical line through the given z-value or values and shade the required region.
he following table shows the incomes of super 10 taxis by year
YEAR x-CODE
2001 1
2002 2
2003 3
2004 4
2005 5
Total 15
a) Plot the data on a scatter plot diagram
b) Compute Pearson’s correlation coefficient (r)
c) Compute Spearman’s ranking (rho)
The table below shows whether students from a certain University in Pretoria are right- or left- handed by sex. The total number of students who were interviewed was 100. Their responses were as follows:
Right handed Male Female Total
38 42 80
Left handed 12 8 20
Total 50 50 100
3.1.1 What is the probability of selecting a left-handed male?
3.1.2 What is the probability of selecting a right-handed female?
3.2 A construction firm has bid on two different contracts. Let B1 be the event that the first bid is successful and B2, that the second bid is successful. Suppose that P (B1) = .4, P (B2) = .6 and that the bids are independent. What is the probability that:
3.2.1. Both bids are successful?
3.2.2. Neither bid is successful?
QUESTION FOUR
(5)
(5)
(25 MARKS)
The following are the variations of ratings of Five Richfield college researchers on the institutions National Innovative Research Initiative (NIRI) project for the year 2020:
RATINGS 3 4 7 10 15 30
Using the data values given above, calculate the following:
4.1.1 Arithmetic mean (5) 4.1.2 Median (5)
4.2 A manufacturer of children toys claims that less than 3% of his products are defective. When 500 toys were drawn from a large production run, 5% were found to be defective.
Based on the above, identify the following:
4.2.1 Population of interest (3) 4.2.2 Sample (3) 4.2.3 Parameter (4) 4.2.4 Statistic (5)
Explain that all conditions for the sampling distribution for sample proportions have been met.
A local travel company believes that 64% of the U.S have never taken a vacation where you must fly on a plane to get there. The company is interested in a new marketing plan targeting these people and they would like to determine if they should launch a campaign in your town with a population of 1576 and it is found that out of 89 selected adults 63 have never taken such a vacation.
Part 2. Assuming you already checked the conditions, find the 90% confidence interval for the true proportion of all adults in your hometown who have never taken a vacation where a flight is required to get there
Of the 201 employees selected from an ice cream factory, 30 of them admit to grabbing a spoon and sampling when nobody is looking. Construct a 95% for the proportion of employees who grab a spoon and eat when nobody is looking.
Answer is formatted like this,
”We are 95% confident that the proportion of all employees who grab a spoon and eat are between ___ and _____
Record the weight (in kilogram) of five (5) members in your household. Draw random samples of size n = 2 from these weights.
1. List all possible samples and compute the mean of each sample.
2. Construct the sampling distribution of the sample means.
3. Find mean (μ) and the standard deviation (σ) of the population.
4. Find the mean, variance and standard deviation of the sampling distribution of the sample means.
Gluten sensitivity affects approximately 15% of people in the us.You decide to randomly sample 800 individuals and have them report their gluten intolerance. 96 people report gluten sensitivity.
What value should be added to the set of data to make the interquartile range (IQR) 10? 1,1,4,4,6,6,7,7,9,9,12,12,25,25
You
will combine two numbers from 0 to 9. One entry will win PHP 6000, out of 100 total entries, if
you match the last two digits of the final score in a basketball game. Let X be the net gain from
the purchase of one entry. What is the mean or the expected value of a person who buys a ticket?
Illustrate by constructing a probability distribution.
