assume that a sample is used to estimate a population proportion P. Find a 98% confidence interval for a sample of size 254 with 85% successes. Enter your answer as an open interval (ie., parentheses) using decimals( not percents)

can someone tell me how this can be done on my TI-84+.

Rework problem 35 from the Chapter 2 review exercises in your text, involving auditioning for a play. For this problem, assume 13 males audition, one of them being Karthikey, 7 females audition, one of them being Tiffany, and 5 children audition. The casting director has 4 male roles available, 2 female roles available, and 1 child role available.

(1) How many different ways can these roles be filled from these auditioners?
(2) How many different ways can these roles be filled if exactly one of Karthikey and Tiffany gets a part?
(3) How many different ways can these roles be filled if at least one of Karthikey and Tiffany gets a part?
(4) What is the probability (if the roles are filled at random) of both Karthikey and Tiffany getting a part?

A machine is designed to fill 16-ounce bottles of shampoo. When the machine is working properly, the mean amount poured into the bottles is 16.05 ounces with a standard deviation of .005 ounces.

If four bottles are randomly selected each hour and the number of ounces in each bottle is measured, then 95% of the observations should occur in what interval? Round answers to four decimal places.

Q4. Describe and give two examples of the queue systems with the following Kendall’s classifications:

(i) G/D/2;
(ii) M/G/1/10/1000.

Suppose a researcher hypothesized that a relationship existed between nurses' leadership behavior and jpb satisfaction. Correlation analysis revealed an r=0.60 that had a p value < 0.001. The researcher may conclude which of the following (Mak all that apply):

A. The greater the leadership behavior of the nurse, the higher the degree of job satisfaction

B. The data analysis demonstrated that the null hypothesis could be rejected

C. A statistically significant relationship exists between nurses' leadership behavior and job satisfation

D. High levels of leadership behavior caused hidgh job satisfaction

Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with ?=101 and ?=24. (a) What proportion of children aged 13 to 15 years old have scores on this test above 91 ? (NOTE: Please enter your answer in decimal form. For example, 45.23% should be entered as 0.4523.) Answer: (b) Enter the score which marks the lowest 20 percent of the distribution. Answer: (c) Enter the score which marks the highest 15 percent of the distribution. Answer:

A simple random sample of 70 customers is taken froma customer information file and the average age is 36. The population standard deviation o is unknown. Instead the sample standard deviation s is also calculated from the sample and is found to be 4.5. 2. Test the hypothesis that the population mean age is greater than 33 using the critical value approach and a 0.05 level of significance. а. Test the hypothesis that the population mean age is less than 38 using the p- value approach and a 0.05 level of significance. b. Test the hypothesis that the population mean age is different from 32 using the p-value approach and a 0.05 level of significance. с.

The chartered financial analyst (CFA) is a designation earned after taking three annual exams (CFA I,II, and III). The exams are taken in early June. Candidates who pass an exam are eligible to take the exam for the next level in the following year. The pass rates for levels I, II, and III are 0.58, 0.75, and 0.81, respectively. Suppose that 3,000 candidates take the level I exam, 2,500 take the level II exam and 2,000 take the level III exam. A randomly selected candidate who took a CFA exam tells you that he has passed the exam. What is the probability that he took the CFA I exam? Probability =

In your own words write a summary about anti smoking messages in the United state

1. We are conducting a one-way between groups ANOVA. We have 50 people in each condition. Each person rates how much they like their assigned food (pizza, burger, or taco) on a scale of 1 to 5 (1 = hate this food, 5 = favorite food ever). We run a hypothesis test and find a significant statistic. What does this mean?

1. Calculate all the appropriate HSDs for the following groups:

Pizza Mean: 2.3; Burger Mean: 4.5; Taco Mean: 3.7; Standard Error (s_M): .32

2. If the critical value found in the q table is -6.236, are any comparisons significant? What do your findings mean?

The following table shows the unemployment rate for people with various education levels in the United States. Suppose we are interested in predicting the unemployment rate based on the education level.

Give the equation of the regression line. (2pts)

Write a sentence interpreting the y-intercept. (2pts)

Write a sentence interpreting the slope. (2pts)

Predict the unemployment rate for the group of people who have 10 years of education. (2pts)

Compute the residual for the group of people who have completed 12 years of education. (2pts)

Compute the residual for the group of people who have completed 5 years of education. (2pts)

Compute the residual for the group of people who have completed 16 years of education. (2pts)

A species of marine arthropod lives in seawater that contains calcium in a concentration of 32 mmole/kg of sea water. Thirteen of the animals are collected and the calcium concentration in coelomic fluid are determined. Results are summarized in the table below. A researcher plans to use these data to test H0: (mu) = 32 versus HA: (mu) (DNE) 32 at a significance level of 0.05, where (mu) = the mean calcium concentration in this arthropod’s coelomic fluid.

4. Compute the power of the test when (mu) = 31.5.
5. Determine the sample size necessary in order to achieve a power of 80% when (mu) = 31.5.

Let X and Y be two independent random variables. Assume that X is Negative-
Binomial(2, θ) and Y is Negative-Binomial(3, θ) distributed. Let Z be another random

variable, Z = X + Y .
(a) Find the following probabilities: P(Z = 0), P(Z = 1) and P(Z = 2);
(b) Can you guess what is the distribution of Z?

Answer True or False

1. A in a density histogram the area of a region is equivalent to the density of that region_________.
2. Extreme values or “outlier” have a great effect on the Interquartile range than on the standard deviation as the standard deviation is a resistant measure of spread_______.
3. In the events A and B are disjoint they must also be independent_______.
4. For any two events A and B, P (A or B)= P(B)+ P(A and B). ________.
5. If the events A and B are independent, the P (A and B) = P(A)P(B)_________.
6. If the events A and B are disjoint then conditional probabilities P(AB) and P(BA) are both equal to 0______.
7. A random variable that assumes only negative values will have a negative mean ______.
8. A random variable that assumes only negative values will have a negative standard deviation______.
9. A binomial random variable counts the number of “successes” in a fixed number of independent trials where the probability of “success” varies from trial to trial_____.
10. A statistic is a random quantity: different random samples will yield different statistic values______.
11. The mean of sampling distribution of the sample mean is equal to the population mean_____.
12. The standard deviation of the sampling distribution of the the sample mean is generally smaller than the standard deviation of the population_____.
13. If the population is (exactly) normally distributed, the sampling distribution of the sample mean will be (exactly) normal also______.
14. Even if the population distribution is not normal, as long as the sample size is sufficiently large, the sampling distribution of the sample mean will be approximately normal, by central limit theorem______.
15. A 95% Confidence Interval will generally be wider than a 90% Confidence Interval for the same parameter, based on the same data ______.  
16. A 95% Confidence Interval for a population mean will contain at least 95% of the values in the underlying population_______.
17. If we were to take a large number of independent random samples and calculate a A 95% Confidence Interval from about 95% of the resulting intervals would cover the true parameter value______.
18. In hypothesis testing, H₀is a statement about the population that we initially assume to be true________.
19. A P-value close to zero indicated that the observed data are inconsistent with the null hypothesis______.
20. If we reject H₀at the a=0.05 level of significance clearly we would reject a=0.01 as well_______.
21. A P-value less than 0.01 indicates that if H₀ were true, the chance of observing data as extreme as those observed would be less than one out of 100______.
22. In a two-way contingency table, the marginal (row and column) sums of the “expected cell counts” will be equivalent marginal sums of the observed cell counts_______.
23. Evidence against the null hypothesis of independent between row and column variables in a contingency table is provided by a very small value of the chi-square statistic_____.
24. In an r x c contingency table the P-value for a test of row-column is found by comparing the test statistic x^2 to the chi-square distribution with (r-1)(c-1) degrees of freedom______.
25. If two quantitative variable x and y are negatively associated above average values of x will tend to occur with below average values of y and vice versa_______.
26. If a set of data (x₁, y₁) ……. (x_n,y_n) satisfy y_i=4x for each i=1…n then the correlation between the x’s and the y’s is 1______.
27. Correlation is a resistant measure in that it is not sensitive to extreme values or outliers______.
28. Correlation makes a distinction between response variable and explanatory variable______.
29. Least-square regression makes a distinction between response variable and explanatory variable______.
30. The least square regression line always passes through the point(xbar, ybar) ______.