Statistics and Probability Answers

 Consider a population consisting of 4, 7, 8, 13, 15 and 17. Suppose samples of size 3 are drawn from this population. Determine the total number of samples.

A company makes electronic gadgets. One out of every 50 gadgets is faulty, but the company doesn't know which ones are faulty until a buyer complains. Suppose the company makes a Php 200 profit on the sale of any working gadget, but suffers a loss of Php 4, 000.00 for every faulty gadget because they have to repair the unit.

Suppose the mean blood glucose of a population of adults is 162 with a standard deviation σ=58. From sample sizes of 36 adults find the proportion of sample means having values of at least 170.

Suppose it is known that the mean and the standard deviation for a given population are 65 and 8, respectively. What is the probability that a sample of 100 drawn from this population will have a mean greater than 66?

A sample of 169 is drawn from a certain population. This sample has a mean of 80 and a standard deviation of 10. Find the standard error of the mean.

The length of pregnancies are normally distributed with a mean of 260 days and standard deviation of 12 days. If 30 women are randomly selected, find the probability that lengths of pregnancy have a mean that is less than 255 days.

What I Know

Before you proceed and explore on computing probabilities under the normal

curve let us see how much you know before we tackle the lesson. Below is a 5-lem

true or false test Determine whether the statement is true or false Wanite Tithe

statement is true and Fit false on the blank provided before each number

7. Probability value is a number from 0 to 1

2. Probability value is a number from - 1 to 1

3. Finding the area of a region is the same as finding the probability

associated with that region.

4. The probability that the z-score falls at most = -1 is equal to the

probability of that the Z-score falis less than z = -1

6. It is possible to have a negative probability

You want to determine the opinion of students in New York University about the new platform used in learning this pandemic. You wanted to use stratified sampling in getting responses from a sample of 500 students. Given the following data, identify how many samples are there in each grade level.

Grade 7: 1,557

Grade 8: 1, 209

Grade 9: 1,054

Grade 10: 1, 988

Grade 11:1, 456

Grade 12: 1,764

A population consists of the five numbers 2, 3, 6, 8, and 11. Consider samples of size 2 that can be drawn from this population. List all the possible samples and the corresponding mean. Construct also the sampling distribution of the the sample means.