Statistics and Probability Answers

What is the resulting from subtracting the maximum error from sample mean

Survey tests on seIf-concept and on leadership skill were administered to student-leaders. Both tests use a 10-point Likert scale with 10 indicating the highest scores for each test. Scores for students on the tests follow:

Student | A | B | C | D | E | F | G |

Self -Concept | 7.1 | 5.6 | 6.8 | 7.8 | 8.3 | 5.4 | 6.3 |

Leader | 3.4 | 6.0 | 7.8 | 8.8 | 7.0 | 6.5 | 8.3 |

-ship Skill

1. Compute the coeficient of correlation r.

2. Interpret the results in terms of strength and direction of correlation.

3. Find the regression line that will predict the leadership skill if the self-concept score is known

From a box containing 2 apples, 2 peaches and 2 oranges, 4 fruits are drawn at random. Let P be a random variable representing the number of oranges that occur. Construct a probability distribution.

In a study of distances traveled by buses before the first major engine failure, a sample of 191 buses resulted in a mean of 96,700 miles and a standard deviation of 37,500 miles. At the 0.05 level of signıficance, test the manufacturer's claim that the mean distance traveled before a major engine failure is more than 90,000 miles.

1. Claim:

Ho:

Ha:

2. Level of Significance:

Test- statistic:

Tails in Distribution:

3. Reject Ho if:

4. Compute for the value of the test statistics.

5. Make a decision:

6. State the conclusion in terms of the original problem

Find the correct value of Y to make a valid probability distributions

If two dice are rolled,which of the following is not a possible outcome of the random variables X: total number of dots facing up?

1. A random sample of n = 60 measurements is obtained from a population with μ= 192 and σ = 43. Describe the sampling distribution for the sample means by computing the μx and  σx.

The mean height of 50 Male students who showed above average participation in college athletics was 68.2 inches with a sd of 2.5 inches, while 50 students who showed no interest in such participation had a mean height of 67.5 inches with a standard deviation of 2.8 inches. Test the hyphothesis that male students who participate in college athletics are taller than the other male students at 0.05 level of significance

Suppose p = P ( A ) , q = P ( B ) , r = P ( AU B ) , what are the probability P ( A - B ) ?

A mother figures that her son will forget his homework about 20% of the time. What is the probability that he will forget his homework at least once in the next 10 school days?