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The results of a nationwide aptitude test in mathematics are normally distributed with mean of 80 and standard deviation of 50.What is the percentile rank of a score of 84
The average of cholestorel content a certain canned goods is 215 miligrams,and the standarddeviation is 15 miligrams.Assume that the variable is normally distributed.If a sample of 25 canned goods is selected,what is the probability that the mean of the sample will be than 220 miligrams?
A random variable x has the probability distribution as follows:
x | 1 | 2 | 3 | 4 | 5 |
P(x) | 0.1 | 2k | 0.4 | 0.25 | 0.1 |
a. Find k.
b. Construct a probability histogram to describe P(x).
The variance of a population is 3.26. If a sampling distribution of the sample mean is constructed from the population with a sample size of 3, what is the variance of the sampling distribution of the sample mean?
Number of Defective COVID-19 Rapid Antibody Test KitSuppose three test kits are tested at random. Let D represent the defective test kit and let N represent the non-defective test kit. If we let X be the random variable for the number of defective test kits, construct the probability distribution of the random variable X.
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:
a.The mean of the population
b. The standard deviation of the population
c.The mean of the sampling distribution of means
d. The standard deviation of the sampling distribution of means.
e.Illustrate the probability histogram of the sampling distribution of the means
1. The heights of a group of boys are normally distributed with a mean of 54 inches and standard deviation of 2.5 inches.
What percentage of the population would have heights between 53 inches and 56 inches?
If a boy is chosen at random from this population, what is the probability that he is taller than 52 inches?
If all possible samples of size 25 are drawn from this population, what percentage of them would have means between 53 inches and 55 inches?
a bottled water company has found in the past that 2% of their bottled wtaer doews not meet the companys high standards. as such periodic samples are taken and tested for their quality. if from the last batch a sample opf bottles of 12 bottles are taken and tested, determine the probability; carefully define the random variable of interest
. 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.
. 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.
