Discuss the below:
Q1. Matching
a. Nominal _____1. Number of pages in a book
b. Ordinal _____ 2. Name of a book
c. Discrete _____3. Weight of a book
d. Continuous _____4. Rank on bestsellers list
Q2. Which of the following is not like the others in the group and say why: mean, standard deviation, median, mode, and midrange
Q3 for a set of ordered pairs the prediction line has b0 = 1 and b1 = 2. We also have that one of the ordered pairs is (7, 16)
1. compute the fit
2. compute the residual
Q4. Does a strong correlation prove cause and effect or not?
Q5. Suppose b1 is negative. What can we conclude about r
1. It is negative.
2. it is 0
3. it is positive
4. none of the above
Q6. If P(A) = 0.4, P(B) = 0.3, and P(A and B) = 0.15, what is P(A|B)?
Q7. You may make a Venn diagram or a table or both, but SHOW YOUR WORK
You will be hoping for a merit scholarship (M) or an athletic scholarship (A).
They say the chance of getting an athletic scholarship is 0.2
Then they say the chance of getting both an athletic scholarship and a merit scholarship is 0.05
Then they say the chance of getting one or the other is 0.5.
a. P(M) =
b. P(not A and not M) =
c. P(M|A) = (I want the ratio)
d). P(A|M) = (I want the ratio)
e. Are A and M independent? Show why you say so
Q8. If A and B are mutually exclusive events with P(A) = .0.40, then P(B)
a. can be any value between 0 and 1
b. cannot be larger than 0.40
c. cannot be larger than 0.60
d. cannot be determined
Q9. what is the mean of the standard normal distribution (the z scores)?
Q10. what is the approximate area under the curve between μ - 3σ and μ + 3σ?
Q11. what is the area under the standard normal curve between -2.41 and - 1.24?
Q12. Find P(z > -0.24)
Q13. what z score corresponds to the 80th percentile?
Q14. If the mean of a normal distribution is 300 and the standard deviation is 50, what percentage of the scores is between 270 and 320?
Q15 .If it is known that college students sleep an average of 6 hours per night with a standard deviation of 1.8
1. find the probability that she sleeps between 5 and 8 hours.
2. Find the probability that she sleeps more than 7 hours
Q16. 1.As the sample size increases, which happens, the sampling distribution gets more or less peaked in the middle?
2. As the sample size increases, which happens, the tails get larger or the tails get smaller?
Q17. consider the confidence intervals to be alike in every way except the part I say changes and a change for part 1 does not apply for part 2
1. which is longer, a confidence interval for sample size n = 16 or n = 25?
2. which is longer, a confidence interval for 90% confidence or for 99% confidence?
Q18. when we talk about a 95% confidence interval, what does that mean? 95% of what do what?
Q19. A soft drink machine is set to dispense soft drink labeled 16 oz. If the mean is 16.1 oz with a standard deviation of 0.0.15 oz
1. what are the upper and lower limits for the 90% confidence interval for 1 bottle?
2. what are the upper and lower limits for the 90% confidence interval for a sample of size n = 20?
Q20. Will a confidence interval for μ always contain the point estimate or not?
Q21. If you have rejected the null hypothesis when it is false, then you have made
a. a type A correct decision
b. a type B correct decision
c. A type I error
d. A type II error
Q22. 1. In a hypothesis test, if α = 0.01 and p-value = 0.019, do you have significant evidence to reject the null hypothesis or not?
2. in a hypothesis test, if α = 0.05 and the p-value = 0.042, do you have significant evidence to reject the null hypothesis?
3. Do large or small values for the p-value support the alternative hypothesis?
Q23. Give the null and alternative hypotheses for the two tail test for the following claim "the mean of the ACT scores is 25
Q24. Which t-distribution is most like the normal curve, the one for df = 10 or n = 20?
Q25. which two T VALUES bracket 2.50 on the df = 15 distribution?
Q26. pretest versus post test (before and after studies) are usually used for
a. dependent samples
b. independent samples
c. either one
d. neither applies
Q27. consider the following set of paired data and calculate the value of A - B
A 1 3 4 4 5
B 3 5 4 1 2
A - B
Q28. If a confidence interval for the difference of 2 proportions contains both positive and negative numbers, what does that tell you?
Q29. Only 48 out of 200 people interviewed were able to name the Secretary of State of the United States. Find the values of
x =
n =
p'
q'
Q30. Here are expected values for a chisquared χ2 test
41 44
72 71
1. Compute the expected value for the cell in the first column, first row
2. show the formula and plug in the numbers for computing the addend for chisquared for the first column and the first row.
3.how many degrees of freedom does this test have?
4. If we had the chisquared sum = 24 with df = 15, WHICH TWO VALUES FROM THE TABLE WOULD BRACKET THE P VALUE?
Q31. Can we use an ANOVA test to see whether our linear model is good in regression? There is no work to show, but tell me why you think you are right.