Statistics and Probability Answers

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.

(3,5,7,9).(3,5,7,9).

[[ Set B ]]

1. Find ALL possible samples of size 2 which can be drawn with replacement from the population.
2. Solve for the mean μ
3. x
4. μx of the sampling distribution of means.
5. Solve for the variance σ
6. x
7. 2
8. σx2 of the sampling distribution of means.
9. Solve for the standard deviation σ
10. x
11. σx of the sampling distribution of means.

Round all answers to the nearest hundredths.

A supermarket owner believes that the mean income of its customers is P50,000 per month. One-hundred customers are randomly selected and asked about their monthly income. The sample mean is P48,500 per month and the standard deviation is P3,200. Is there sufficient evidence to indicate that the mean income of the customers of the supermarket is P50,000 per month? Use α == 0.05.

If x represents the number of voys in a family of 7 children, find the probabbility and distribution

Ms Pitts and Mr Oduse are statistics lecturers. Ms Pitts spends 62% of her day in the stats department. Mr Oduse spends 57% of his day in the stats department. Forty-two (42) percent of the time Ms Pitts and Mr Oduse can both be found in the stats department.

Question 15

What is the probability that only one of these lecturers will be in the stats department when you go to have a consultation?

Question 16

What is the probability that neither of the two lecturers will be in the stats department?

Question 17

What is the probability that only Mr Oduse will be in the stats department?

Suppose A and B are mutually exclusive events defined on the same sample space such that 𝑃(𝐴)=0.37 and 𝑃(𝐵)=𝑐.

Question 11

What is the maximum value of 𝑐?

Question 12

What is 𝑃(𝐴|𝐵)?

In a batch of 15 jars of instant coffee, 5 have been under filled. Suppose 6 of these jars are selected without replacement. If more than 1 of these selected jars are under filled, the whole batch is sent back for refill. What is the probability of the batch being sent back for refill? (Round off to 2 decimal places.)

Two-tailed test, o? is known, a= 0.05, n= 45

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