Statistics and Probability Answers

a reading center demands that the students will perform better on a standardized reading test after going through the reading test after going through the reading course offered by their center. the table shows the reading scores of 5 students before and after the course. at α=0.10, is there enough evidence to conclude that the students’ scores after the course are better than the scores before the course?

STUDENT BEFORE AFTER

1 85 88

2 96 85

3 70 89

4 76 86

5 81 92

A researcher claims that a 20 year old women on a special diet will have an average weight of 110 pounds. A sample of 15 women has an average weight of 112.5 lbs and a standard deviation of 5 pounds. At 8 = 0.01 can the clean be rejected?

what do you think the variance of the sampling distribution of the sample mean with a population variance of 200 and a sample size of 20

if the population size is equal to 5 and the sample size is equal to 4. how many possible sample can be drawn using the formula of without replacement

Four students took an exam in mathematics and got the following scores: 7, 12, 19, and 21. What is the mean of the sampling distribution of the sample mean with a sample size of 2?

Find the area to the right of each z zone of z=2.25

For each statement, state the null (Ho) and alternative (H₁) hypotheses.

1. A researcher thinks that if expectant mothers use vitamins, the birth weight of the babies will increase. The average birth weight of the population is 8.6 pounds.

2. The mean height of Grade 12 students is greater than 66 inches.

3. The average pulse rate of female joggers is less 72 beats per minute.

4. The average age of Senior High teachers at Masaya High School is greater than 27 years. 5. The average daily attendance of Grade 11 students in Statistics & Probability class is 45.

The probability of winning a match for team A is 0.6. Find the probability of winning 3 matches out of 5.

If a coin is tossed thrice, find the probability of a getting head at least two times.

Solve the following problems by using Binomial formula:

i. If n = 4 and p = 0.10, P(X = 3) = ?

ii. If n = 7 and p = 0.10, P(X = 4) = ?

iii. If n = 10 and p = 0.10, P(X  7) = ?

iv. If n = 12 and p = 0.10, P(5  X  7) = ?