Would you favor spending more federal tax money on the arts? Of a random sample of n₁ = 204 women, r₁ = 56 responded yes. Another random sample of n₂ = 193 men showed that r₂ = 47 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use α = 0.10. Solve the problem using both the traditional method and the P-value method. (Test the difference p₁ − p₂. Round the test statistic and critical value to two decimal places. Round the P-value to four decimal places.)

Conclusion

Fail to reject the null hypothesis, there is sufficient evidence that the proportion of women favoring more tax dollars for the arts is different from the proportion of men.Reject the null hypothesis, there is sufficient evidence that the proportion of women favoring more tax dollars for the arts is different from the proportion of men.    Reject the null hypothesis, there is insufficient evidence that the proportion of women favoring more tax dollars for the arts is different from the proportion of men.Fail to reject the null hypothesis, there is insufficient evidence that the proportion of women favoring more tax dollars for the arts is different from the proportion of men.

Compare your conclusion with the conclusion obtained by using the P-value method. Are they the same?

We reject the null hypothesis using the P-value method, but fail to reject using the traditional method.These two methods differ slightly.    The conclusions obtained by using both methods are the same.We reject the null hypothesis using the traditional method, but fail to reject using the P-value method.

From 1984 to 1995 , the winning scores for a golf turnament were 276,279,279,277,278,278,280,282,285,272,279 and 278. Using the standart deviation from this sample find the percent of winning scores that fall within one standart deviation of the mean.

Use the calculator provided to solve the following problems.

Consider a t distribution with 16 degrees of freedom. Compute P (t ≥ 1.10)
Round your answer to at least three decimal places.

Consider a t distribution with 28 degrees of freedom. Find the value of c such that P(-c < t < c) =0.99
Round your answer to at least three decimal places.

P (t ≥1.10) =

c=

Three students, Linda, Tuan, and Javier, are given laboratory rats for a nutritional experiment. Each rat's weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a significance level of 0.05, test the hypothesis that the three formulas produce the same mean weight gain.

H₀: μ₁ = μ₂ = μ₃
H_a: At least two of the means differ from each other

Run a single-factor ANOVA with α=0.05

. Round answers to 4 decimal places.

Test Statistic =
p-value =

Based on the p-value, what is the conclusion

Reject the null hypothesis: at least one of the group means is different

Fail to reject the null hypothesis: not sufficient evidence to suggest the group means are different

A football receiver, Harvey Gladiator, is able to catch two thirds of the passes thrown to him. He must catch four passes for his team to win the game. The quarterback throws the ball to Harvey six times. (a) Find the probability that Harvey will drop the ball all six times. (b) Find the probability that Harvey will win the game. (c) Find the probability that Harvey will drop the ball at least two times.

A radio station runs a promotion at an auto show with a money box with 14 ​$50 ​tickets, 10 ​$25 ​tickets, and 15 ​$5 tickets. The box contains an additional 20 ​"dummy" tickets with no value. Three tickets are randomly drawn. Find the probability that all three tickets have no value. The probability that all three tickets drawn have no money value is nothing. ​(Round to four decimal places as​ needed.)

Tommy has a bag with 7 marbles in it, and decides to draw 3 marbles from the bag randomly. The marbles in the bag are all the same, but some of the marbles in the bag are red and some are purple. If we decide to test the null hypothesis "More red marbles than purple marbles" and the alternative hypothesis "More purple marbles than red marbles", what would be the level of significance? We will make the Rejection Region the event of getting atleast 2 marbles that are purple.

1. In many animal species the males and females differ slightly in structure, coloring, and/or size. The hominid species Australopithecus is thought to have lived about 3.2 million years ago. (“Lucy,” the famous near complete skeleton discovered in 1974, is an Australopithecus .) Forensic anthropologists use partial skeletal remains to estimate the mass of an individual. The data below are estimates of masses from partial skeletal remains of this species found in sub-Saharan Africa. Appropriate graphical displays of the data indicate that it is reasonable to assume that the population distributions of mass are approximately normal for both males and females. You may also assume that these samples are representative of the respective populations. Estimates of mass (kg)

Males 51.0, 45.4, 45.6, 50.1, 41.3, 42.6, 40.2, 48.2, 38.4, 45.4, 40.7, 37.9, 41.3, 31.5

Females 27.1, 33.5, 28.0, 30.3, 32.7, 32.5, 34.2, 30.5, 27.5, 23.3,35.7

Do these data provide convincing evidence that the mean estimated masses differ for Australopithecus males and females? Provide appropriate statistical justification for your conclusion.

2. In an introductory marketing class students were presented with 6 items they could bid on in an auction. They were asked to bid privately and also estimate the “typical” bid for each item by their classmates. The items were randomly selected from a large list of items that students might purchase. An initial analysis of the data established the plausibility that the distribution of differences (estimated – actual) is approximately normal.

Construct a 95% confidence interval for the mean difference between the actual bid and the estimated “typical” bid for the population of items.

Use the table above to answer the following questions. Show ALL of your work for full credit.

1. Calculate the mean, median, and mode cost of last month’s expenses.

2. Calculate the range and interquartile range (IQR) of last month’s expenses.

Remember, to find the IQR:

Step 1: Put the numbers in order.

Step 2: Find the median.

Step 3: Place parentheses around the numbers above and below the median.
Step 4: Find Q1 and Q3

Step 5: Subtract Q1 from Q3 to find the interquartile range.

3. Which of the expenses (if any) in the table above is an outlier? Why?

Remember, an outlier is defined as being any point of data that lies over 1.5 IQRs below the first quartile (Q1) or above the third quartile (Q3) in a data set.

High = (Q3) + 1.5 IQR

Low = (Q1) – 1.5 IQR

4. Find the variance and standard deviation. How many standard deviations is the cost of the mortgage payment from the mean cost of all expenses.

5. Explain the difference between the mean and the median. Also, indicate whether the data is skewed or not. Why?

I need help finding number 3 and 4! I believe the range is 1727 and the IQR is 441, but what is the outliers, variance and standard deviation?

Just Part B please

A global research study found that the majority of​ today's working women would prefer a better​ work-life balance to an increased salary. One of the most important contributors to​ work-life balance identified by the survey was​ "flexibility," with 45​% of women saying that having a flexible work schedule is either very important or extremely important to their career success. Suppose you select a sample of 100 working women. Answer parts​ (a) through​ (d).

a. What is the probability that in the sample fewer than 51​% say that having a flexible work schedule is either very important or extremely important to their career​ success? 0.8869 ​(Round to four decimal places as​ needed.)

b. What is the probability that in the sample between 41​% and 51​% say that having a flexible work schedule is either very important or extremely important to their career​ success? nothing ​(Round to four decimal places as​ needed.)

Consider the following three data sets which shows the students’ results for test in the

new course launched in the undergraduate program across three sections.

Class A:{65;75;73;50;60;64;69;62;67;85}

Class B:{85;79;57;39;45;71;67;87;91;49}

Class C: {43;51;53;110;50;48;87;69;68;91}

Using appropriate statistical tools- numerical and graphical, describe the similarity and differences in the students’ performance among the three classes.

1. A construction company that installs drywall wanted to investigate how a person’s age affects how much dry wall they can install in a week. On one hand, it would seem that the younger workers would be able to install more, but it seems that experience would also play a role. Two samples were taken.
   
   Ages 18-21 Ages 25-28
   (sheets / wk) (sheets / wk)
   88 104
   104 116
   96 96
   88 104
   112 108
   108 108
   84 116
   120 112
   92 120
   116 108
   
   a) Set up the null and alternative hypotheses to see if there is a difference in the average number of sheets of dry wall that a person can install per week based on age.
   b) Check the conditions.
   c) Calculate the test statistic.
   d) Find the p-value.
   e) Using α = 0.05, state your conclusion in the context of the problem.

1. In a study of red/green color blindness, 850 850 men and 2950 2950 women are randomly selected and tested. Among the men, 79 79 have red/green color blindness. Among the women, 8 8 have red/green color blindness. Test the claim that men have a higher rate of red/green color blindness. The test statistic is The p-value is Is there sufficient evidence to support the claim that men have a higher rate of red/green color blindness than women using the 0.01 0.01 % significance level? A. Yes B. No 2. Construct the 99 99 % confidence interval for the difference between the color blindness rates of men and women. <( p 1 − p 2 )< <(p1−p2)< Which of the following is the correct interpretation for your answer in part 2? A. We can be 99 99 % confident that the difference between the rates of red/green color blindness for men and women lies in the interval B. We can be 99 99 % confident that that the difference between the rates of red/green color blindness for men and women in the sample lies in the interval C. There is a 99 99 % chance that that the difference between the rates of red/green color blindness for men and women lies in the interval D. None of the above

The heights of South African men are normally distributed with a mean of 69 inches and a standard deviation of 4 inches. What is the probability that a randomly selected South African man is taller than 72 inches (sample size of 1)?   What is the probability that a sample of 100 has a mean greater than 72 inches?

In each case, determine the value of the constant c that makes the probability statement correct. (Round your answers to two decimal places.)

(a)    Φ(c) = 0.9854


(b)    P(0 ≤ Z ≤ c) = 0.3078


(c)    P(c ≤ Z) = 0.1210


(d)    P(−c ≤ Z ≤ c) = 0.6680


(e)    P(c ≤ |Z|) = 0.0160

You may need to use the appropriate table in the Appendix of Tables to answer this question.