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. b) The table below shows the color and the model of cars purchased by 160 randomly selected customers at a car dealership in 2020. Color Red White Black Model Toyota Hyundai 17 19 25 to 35 35 29 Use a 5 percent level of significance to test the null hypothesis that color chosen and car model are independent. i. State the null and alternative hypotheses for this test. [2] Calculate: a. the expected frequency for red vehicle and the Toyota model b. the chis-square contribution, x?, for red vehicle and the Toyota model Given that the chi-square test statistic, x? is 2.1183, find the p-value for test [2] State the conclusion for the test. State 2 limitations of the chi-square test, x?. WITH ANSWERS from assignment expert 2] UE 1. 11. [2] 111.
1. A population consists of the four numbers (2,3,5). Consider all possible samples of size 2 that can be drawn with
replacement from this population. Find the following:
The mean of the population
b. The standard deviation of the population
The mean of the sampling distribution of means
d. The standard deviation of the sampling distribution of means.
Illustrate the probability histogram of the sampling distribution of the means
Complete the table below.
y"+3y'+2y=e^(-t) , y(0)=0, y'(0)=0
An experiment involves studying the composition of genders of a set of triplets. What is the probability that there are 2 boys and a girl in the set?
Which of the following statements is not an example of a discrete random variable?
Select one:
The age of male respondents to a questionnaire about gender differences
The number of sales a salesperson makes per year
The number of school-age children in a particular family
The number of female respondents to a questionnaire about gender differences
Consider the composition of a 3-child family in which the children were born at different times but a girl is as likely as a boy at each birth. What is the probability that the oldest child and the youngest child are of the same gender?
A bag contains 4 red balls, 3 blue balls and 5 yellow balls. If a ball is selected at random, find the probability that the ball will be blue or yellow.
A factory uses ingredients A, B, C, D, E, and F to produce products I, II, III, IV, and V.
The following table shows the amounts of each ingredient in stock (in kg) as well as the
amount (in kg) necessary to produce 1 tonne (=1000 kg) of each type of product.
How many tonnes of each type of product should they make to use up all the ingredients
completely?
Hint: Suppose they need to make x1 tonnes of product I, x2 tonnes of product II, etc.
Then set up one equation for each of the ingredients A, B, C etc.
Solve this system of equations to find your answers.
Type of product−→ I II III IV V Amount in stock ↓
Ingredient ↓
A 10 0 8 20 10 507.4
B 10 14 12 16 8 749.2
C 7 5 17 0 7 505.1
D 9 38 7 3 0 848.6
E 15 14 0 8 6 491.7
F 21 0 10 20 10 659.5
There are basically two types of random variables; discrete and ________ random variables.
An urn contains10 balls of equal size but distinguishable only by colour. 5 of the balls are blue, 3 are red and 2 are green. If a ball is selected at random, what is the probability that it will be a white ball?
#340153 on Dec 2023