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Consider the score examples illustrated, in which random samples of size 16 are obtained from N (25,9). What is the value of μ x̅
An overseas shipment of 5 foreign automobiles contains 2 that have slight paint
blemishes. If an agency receives 3 of these automobiles at random, find the
probability distribution of the random variable X representing the number of
automobiles with paint blemishes purchased by the agency. Find the mean
number of automobiles with paint blemishes. Also, calculate the variation.
There are 4 boys and 2 girls in room A and 5 boys and 3 girls in room B .A girl from one of the two rooms laughed loudly.what is the probability that the girl who laughed was from room B?
A new pregnancy test was given to 100 pregnant women and 100 non pregnant women.The test indicated pregnancy of 92 of 100 pregnant and to 12 of the 100 non pregnant women.If a randomly selected woman takes this test and the test indicates that she is pregnant.What is the probability that she is not pregnant?
The probability of x,y and z becoming managers are 4/9 ,2/9 and 1/3 respectively.The probabilities that the bonus scheme will be introduced if x,y and z becomes managers are 3/10 ,1/2 ,and 4/5 respectively
(a)what is the probability that the bonus scheme will be introduced?
(b)if the bonus scheme has been introduced,what is the probability that the manager appointed was x
The weights of students in a certain school are normally distributed with a mean weight of 66 kg. 10% have a weight greater than 70kg. What percentage of students weighs between 52kg and 66kg?
How did we get our answer for this problem above?
A population consists of the values {1, 2, 3, 4, 5). Consider samples of size 3 that can be drawn
from this population.
a. List down all the possible samples and corresponding sample mean
Sample
Sample Means
5
b. Construct the sampling distribution of the sample means.
Sample Means Frequency
Probability P(x)
c. Draw a histogram of the sampling distribution of the sample mean.
A course in mathematics is taught to 15 students by explicit method. Another group of 17 students was given the same course by means of another method. At the end of the semester, the same test was administered to each group. The 15 students under method A made an average of 85 with a standard deviation of 4, while the 17 students under method B made an average of 81 with a standard deviation of 5. Test
the null hypothesis of no significant difference in the performance of the two groups of
students at 5% level of significance.
Solution:
1. H0:
H1:
2. Level of Significance:
3.Test:
4. Critical Region:
5. Solution:
Make a decision and draw a
conclusion based from the results.
1. Decision:
2. Conclusion:
A manufacturer of a brand of designer jeans has pitched her advertising to develop an
expensive and classy image, the suggested retail price is Rs 750. However, she is concerned
that retailers are undermining her image by offering jeans at discount prices. To better
understand what is happening, she randomly sampled 15 retailers who sell her product and
determines the price. The data collected is as follows:
670 720 700 570 780 770 670 720 730 770 720 810 730 790 750
Find the 95% confidence interval estimate for the prices.
A sample of students from an introductory psychology class were polled regarding the
number of hours they spent studying for the last exam. The data was used to make
inferences regarding the other students taking the course. There data are below:
8, 22.7, 14.5, 9, 9, 3.5, 8, 11, 7.5, 18,
20, 7.5, 9, 10.5,15, 19, 9, 8.5, 14,20
Compute a 99% confidence interval.
