Statistics and Probability Answers

In a biology class, a group of students brought 9 mice for their experiment. They measured the weight and the length of the body of each mouse from the tail to the nose. The findings are recorded below:

Length in cm

4

5

5

5

7

8

9

9

10

Weight in kg

6

7

8

10

10

11

12

12

13

Calculate the Pearson correlation coefficient. Round your answers to the nearest hundredths.

9 defective electric toothbrushes were accidentally shipped to a drugstore by Cleanbrush Products along with 29 nondefective ones.

What is the probability the first two electric toothbrushes sold will not be defective?

Considering the IQ results, the school administrator is also planning to offer additional math courses to the top 20%. What should be the IQ score of the student to be qualified to take the additional math course?

Mrs oli plans to select 360 grade eleven students obtained from the population. The selected respondents has an average height of 170 cm and a sample standard deviation of 25 cm. What is the 95% confidence interval of all the student's heights?

In a test of hypothesis about a mean, The critical value for = 0.05 and a two tailed test is 1.96. The resulting statistic value for the sample data is - 1.75.

Which is the correct decision on the null hypothesis based on the given information?

A. Reject the null hypothesis

B. Do not reject the null hypothesis

C. Change the alternative hypothesis

D. Redefine the hypothesis.

Given the following situation determine what test should be applied, write A, if it is two-tailed, B if one-tailed (left-tailed), C if one-tailed (right-tailed) and D if cannot be determined.

Comparing the survey results of votes to the actual votes received by a candidate in an election.

A government official claims that the traffic violations occurring in the city is not as much as 5 violations a day.

Given the following situations, write A, if it is two tailed, B if one tailed (left tailed), and C if one tailed (right tailed).

6.Determine the degree of relationship between height and weight of a certain person.

7.Comparing the survey results of votes to the actual votes received by a candidate in an election.

8.A government official claims that the traffic violations occurring in the city is not as much as 5 violations a day.

9-10.In a test of hypothesis about a mean, the critical value for 𝛼=005and a two tailed

test is 1.96. The resulting statistic value for the sample data is -1.75.What is the correct decision on the null hypothesis based on the given information?

A prospective MBA student was made to estimate the difference in the salaries of professors in private and state universities. An independent study of simple random samples of the most recent MBA graduates of both universities revealed the following statistics: Conduct a test using 0.01 level of significance.

20 eggs are in a refrigerator, 2 are bad, from the 4 are chosen at random to make a cake what is the probability that exactly one egg is bad

1 In a graduate teacher college, a survey was conducted to determine the proportion of students who want to

major in Mathematics. If 378 out of 900 students said Yes, with 95% confidence, what interpretation can we

make regarding the probability that all students in the teacher graduate college want to major in Mathematics.