suppose you just purchased a digital music player and have put 9 tracks on it. After listening to them you decide that you like 4 of the songs. With the random feature on your player, each of 9 songs is played once in random order. find the probability that among the first two songs played
(a) you like both of them. would it be unusual?
(b) you like neither of them?
(c) you like exactly one of them?
(d) redo (a)-(c) if a song can be replayed before all 9 songs are played.

In a study of

820820

randomly selected medical malpractice​ lawsuits, it was found that

492492

of them were dropped or dismissed. Use a

0.050.05

significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.

Which of the following is the hypothesis test to be​ conducted?

A.

Upper H 0 : p not equals 0.5H0: p≠0.5

Upper H 1 : p equals 0.5H1: p=0.5

B.

Upper H 0 : p less than 0.5H0: p<0.5

Upper H 1 : p equals 0.5H1: p=0.5

C.

Upper H 0 : p equals 0.5H0: p=0.5

Upper H 1 : p greater than 0.5H1: p>0.5

D.

Upper H 0 : p equals 0.5H0: p=0.5

Upper H 1 : p less than 0.5H1: p<0.5

E.

Upper H 0 : p greater than 0.5H0: p>0.5

Upper H 1 : p equals 0.5H1: p=0.5

F.

Upper H 0 : p equals 0.5H0: p=0.5

Upper H 1 : p not equals 0.5H1: p≠0.5

What is the test​ statistic?

zequals=nothing

​(Round to two decimal places as​ needed.)

What is the​ P-value?

​P-valueequals=nothing

​(Round to three decimal places as​ needed.)

What is the conclusion about the null​ hypothesis?

A.

RejectReject

the null hypothesis because the​ P-value is

less than or equal toless than or equal to

the significance​ level,

alphaα.

B.

Fail to rejectFail to reject

the null hypothesis because the​ P-value is

less than or equal toless than or equal to

the significance​ level,

alphaα.

C.

RejectReject

the null hypothesis because the​ P-value is

greater thangreater than

the significance​ level,

alphaα.

D.

Fail to rejectFail to reject

the null hypothesis because the​ P-value is

greater thangreater than

the significance​ level,

alphaα.

What is the final​ conclusion?

A.There

is notis not

sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.

B.There

isis

sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.

C.There

isis

sufficient evidence to warrant rejection of the claim that most medical malpractice lawsuits are dropped or dismissed.

D.There

is notis not

sufficient evidence to warrant rejection of the claim that most medical malpractice lawsuits are dropped or dismissed.

Iconic memory is a type of memory that holds visual information for about half a second (0.5 seconds). To demonstrate this type of memory, participants were shown three rows of four letters for 50 milliseconds. They were then asked to recall as many letters as possible, with a 0-, 0.5-, or 1.0-second delay before responding. Researchers hypothesized that longer delays would result in poorer recall. The number of letters correctly recalled is given in the table.

(a) Complete the F-table. (Round your values for MS and F to two decimal places.)

(b) Compute Tukey's HSD post hoc test and interpret the results. (Assume alpha equal to 0.05. Round your answer to two decimal places.)

The critical value is  for each pairwise comparison.

Which of the comparisons had significant differences? (Select all that apply.)

1)Recall following no delay was significantly different from recall following a half second delay.

2)Recall following no delay was significantly different from recall following a one second delay.

3)The null hypothesis of no difference should be retained because none of the pairwise comparisons demonstrate a significant difference.

4)Recall following a half second delay was significantly different from recall following a one second delay.

The owner of a local pizzeria has recently surveyed a random sample of n = 30 delivery times. He would now like to determine whether or not the mean delivery time (μ) is less than 20 minutes. Suppose he found that the sample mean time for delivery (X bar) was 17.5 minutes and the sample standard deviation was (s) 6 minutes. Assuming that the level of significance α = 0.05, please answer the following questions. 1. State your null and alternate hypotheses : 2. What is the value of test statistic? Please show all the relevant calculations. 3. What is the rejection criteria based on critical value approach? 4. What is the Statistical decision (i.e. reject /or do not reject the null hypothesis)? Provide justification for your decision.

1. Consider the first and second exam scores of the 10 students listed below. Calculate the Pearson's correlation coefficient for the dataset below and interpret what that means.

A)The correlation is -0.774 . There is a strong negative linear association between Exam 1 and Exam 2

B) The correlation is -0.774 . There is a weak negative linear association between Exam 1 and Exam 2 .

C)The correlation is 0.774 . There is a strong positive linear association between Exam 1 and Exam 2 .

D)The correlation is -0.774 . There is a strong positive linear association between Exam 1 and Exam 2 .

E)The correlation is 0.774 . There is a strong negative linear association between Exam 1 and Exam 2 .

2. Consider the first and second exam scores of the 10 students listed below. Calculate the Pearson's correlation coefficient for the data set below and interpret what that means.

A)The correlation is 0.147 . There is a weak negative linear association between Exam 1 and Exam 2 .

B)The correlation is -0.147 . There is a weak positive linear association between Exam 1 and Exam 2

C)The correlation is 0.147 . There is a strong positive linear association between Exam 1 and Exam 2

D)The correlation is -0.147 . There is a weak negative linear association between Exam 1 and Exam 2

E)

1) Volatility (variation) of investment rates is an important consideration for investors. The following data represent the rate of return (%) for some mutual funds for the past 12 years, (like Sullivan, 5e, p 454, #16c). Determine the 95% confidence interval for the population standard deviation. 2 1 / 2 2 2 / 2 2 ( 1) / ( 1) /         n s n s (d.f. = n-1) 12.8 15.9 10.0 12.4 14.3 6.6 9.6 12.4 10.3 8.7 14.9 6.7

A) 2.2 < σ < 5.2

B) 2.3 < σ < 4.9

C) 3.2 < σ < 5. 6

D) 2.0 < σ < 5.9

Anyone who conducts and/or publishes research in the fields of economics, medicine, education, sociology, biology, criminal justice, psychology, (fill in your discipline here!), etc. is most likely not only familiar with the concept of a P-value, but has had research findings depend on it. Unfortunately, this is usually at the dismay of mathematicians and statisticians, as the P-value is not all it's cracked up to be. You will be investigated this for this week's discussion board.

1. In a brief paragraph, summarize what the P-value is, and how it is used to "strengthen" the findings in papers published in the fields listed above. Be sure to cite any sources that you pull from.
2. Search online for an article from the past 12 months that talks about how the P-value is misused, or if it should not be used anymore, or some other criticism of the use of the P-value method. Write a short paragraph summarizing the main points of the article, post the active link of the article so others can access it.
3. Present hypothesis testing problem (not from our textbook) that can be concluded using the P-Value method, But DO NOT solve it. A classmate will respond by solving your problem.

Researchers wondered if there was a difference between males and females in regard to some common annoyances. They asked a random sample of males and​ females, the following​ question: "Are you annoyed by people who repeatedly check their mobile phones while having an​ in-person conversation?" Among the

517

males​ surveyed,

155

responded​ "Yes"; among the 589

females​ surveyed,205

responded​ "Yes." Does the evidence suggest a higher proportion of females are annoyed by this​ behavior? Complete parts​ (a) through​ (g) below.

A statistics instructor is interested in examining the relationship between students’ level of statistics anxiety and their academic self-efficacy and statistics performance. A class of N = 10 students was asked to respond to a self-efficacy scale and an anxiety scale. Each student’s average statistics exam score was also recorded.

The results are as follows:

a. Explain what is meant by a correlation coefficient using one of the correlations as an example.

b. Study the table and comment on the patterns of results in terms of which variables are relatively strongly correlated and which are not very strongly correlated.

c. Comment on the limitations of making conclusions about direction of causality based on these data. In other words, discuss the issue of making cause-effect statements using correlations.

Last rating period, the percentages of viewers watching several channels between 11 p.m. and 11:30 p.m. in a major TV market were as follows:

Suppose that in the current rating period, a survey of 2,000 viewers gives the following frequencies:

(a) Show that it is appropriate to carry out a chi-square test using these data and calculate the value of the test statistic.

Each expected value is ≥        

χ2χ2        

Is your favorite TV program often interrupted by advertising? CNBC presented statistics on the average number of programming minutes in a half-hour sitcom. For a random sample of 20 half-hour sitcoms, the mean number of programming minutes was 23.36 and the standard deviation was 1.13. Assume that the population is approximately normal. Estimate with 97% confidence the mean number of programming minutes during a half-hour television sitcom.  (Round to 2 decimal places.)

Complete the following sentence to provide an interpretation of the confidence interval in the context of the problem:

We are 97% confident that the population mean number of programming minutes for all half-hour television sitcoms is between _______ and _________.

At a local business school, it is typical for some fraction of students to pass an Accounting certification exam. Recently, funding was used to develop a new program that was designed to increase the proportion of students who pass the exam. The school that developed this program studied 475 students and found that the percentage of students who passed the certification increased to 72% with a 95% confidence interval of [.68, .76]. The hypothesis test, H0: No improvement / same rate as always vs. H1: The intervention changed the passing rate, was rejected with a p-value of .046.  

1. Explain what the​ p-value means in this context.

   1. Someone says that they thought that the original pass rate was 67%. If that were true, what would you tell them about the efficacy of the program? Phrase the conclusion properly.

   2. If the alternative hypothesis had been, H1: The intervention increased the passing rate, would the p-value change? If so, how? Would you more or less strongly recommend adoption of the new program?   

   3. Even though this program has been shown to be better​ in that it is “statistically significant”, are there reasons that the school should not adopt it?

   4. What is the relationship between the p-value and the confidence interval?   

You wish to test the following claim ( H 1 ) at a significance level of α = 0.01 . For the context of this problem, μ d = μ 2 − μ 1 where the first data set represents a pre-test and the second data set represents a post-test. H o : μ d = 0 H 1 : μ d ≠ 0 You believe the population of difference in scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: pre-test post-test 47.7 -6.1 33.1 -10.7 57.2 65.3 51.3 63 38.2 23.4 68.8 31.6 27.7 22.3 37.2 50.3 34.2 3.3 72.6 45.4 What is the test statistic for this sample? (Report answer accurate to 2 decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to 4 decimal places.) p-value = The p-value is... less than (or equal to) α greater than α This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0. There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0. The sample data support the claim that the mean difference of post-test from pre-test is not equal to 0. There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is not equal

There is a 0.9968 probability that a female lives through the year. The cost of one year premium is $226. If she dies within the year the policy pays %50,000 in death benefit.

A. State the two events representing possible outcomes

B. Calculate the female's expected gain

450 policies are sold in one year. Let x = # of policyholders who die within the year.

C. Calculate the company's total intake from premiums for one year.

D. If the company is to make a profit, state the possible value(s) of x.

E. Find the probability that company makes a profit.

*Please show work, thank you*

A committee consists of six members (A, B, C, D, E, and F). A has veto power; B, C, D, and E each have one vote. F is a nonvoting member. For a motion to pass it must have the support of A plus at least two additional voting members. A weighted system that could represent this situation is: