A small regional carrier accepted 18 reservations for a particular flight with 17 seats. 13 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 59% chance, independently of each other. Hint: Use the binomial distribution with p = 0.59. (Report answers accurate to 4 decimal places.) Find the probability that overbooking occurs. Incorrect Find the probability that the flight has empty seats.

The relationship between "strength" and "fineness" of cotton fibers was the subject of a study that produced the following data. (Give your answers correct to two decimal places.)

(a) Draw a scatter diagram. (Do this on paper. Your instructor may ask you to turn in this work.)

(b) Find the 95% confidence interval for the mean measurement of fineness for fibers with a strength of 74.

(c) Find the 95% prediction interval for an individual measurement of fineness for fibers with a strength of 74.

The population (in millions) and the violent crime rate (per 1000) were recorded for 10 metropolitan areas. The data are shown in the following table. Do these data provide evidence to reject the null hypothesis that ρ = 0 in favor of ρ ≠ 0 at α = .05? (Give your answers correct to three decimal places.)

(a) Calculate r.


(ii) Calculate the critical region.
(smaller value)
(larger value)
(b) State the appropriate conclusion.

Reject the null hypothesis, there is not significant evidence that ρ ≠ 0. Reject the null hypothesis, there is significant evidence that ρ ≠ 0.     Fail to reject the null hypothesis, there is not significant evidence that ρ ≠ 0. Fail to reject the null hypothesis, there is significant evidence that ρ ≠ 0.

Consider the following set of data.

(18, 15), (31, 55), (63, 27), (82, 24), (109, 58), (118, 14)

(a) Calculate the covariance of the set of data. (Give your answer correct to two decimal places.)


(b) Calculate the standard deviation of the six x-values and the standard deviation of the six y-values. (Give your answers correct to three decimal places.)

(c) Calculate r, the coefficient of linear correlation, for the data in part (a). (Give your answer correct to two decimal places.)

ANOVA

Perform/Document 7-step hypothesis testing process for the following question:

Is there significant evidence to suggest that the type of customer has an effect on the average daily amount of money spent? What’s the effect or nature of a relationship?

1. Null:There is no statistically significant relationship between the type of customer and the daily average amount spent.

Alternative: There is a statistically significant relationship between the type of customer and the daily average amount spent.

2. Let α=.01

3. ?

4. ?

5. ?

6. ?

7. ?

The test-retest method is one way of establishing the reliability of a test. The test is administered, and then, at a later date, the same test is re-administered to the same individuals. The correlation coefficient is computed between the two sets of scores. The following test scores were obtained in a test-retest situation. (Round your answers to two decimal places.)

(a) Find r.


(b) Set a 95% confidence interval for ρ.

1. Given the following set of exam scores: 58, 53, 56, 68, 60, 62, 65, 62, 75, 75, 78, 70, 70, 75, 72, 79, 80, 85, 88, 83, 85, 87, 95, 97, 90 (I recommend Excel for all of this) a. Determine the five ranges and the frequency in each range b. Plot, in Excel, a bar graph of frequency vs range. Include a title and axis labels c. Using the same ranges determine the cumulative frequency d. Plot, in Excel, a bar graph of cumulative frequency vs range. Include a title and axis labels e. Determine the mean, median, and mode of the scores f. Determine the deviation for each score g. Determine the standard deviation for the data set h. Determine the probability of scoring in each range based on the data set

2. How long does it take to double a deposit of $1000 a. at a compound annual interest rate of 6% b. at a compound annual interest rate of 7% c. at a compound annual interest rate of 8% d. If instead of $1000 you deposit $5000, would the time to double your money be different in parts (a)-(c)? In other words, is the initial sum of money a factor in determining how long it takes to double your money?

An article presents an analysis of the profit of international construction projects. In a sample of 126 projects, the average profit margin (in percent) was 8.27 with a standard deviation of 16.33. A test is made of H₀ : μ ≥ 10 versus H₁ : μ < 10.

- Find the P-value. Round the answer to four decimal places.

This is what i have, but for some reason I'm being told it is wrong.

(8.27 - 10 ) / (16.33 / sqrt 126) = -1.879 - -> -1.88 -- > Z = .0301

- The P-value calculated for testing H₀ : µ ≥ 10 versus H₁ : µ < 10 is not a small probability, hence it is plausible that the mean profit margin is 10% or more. False.

Let x = boiler steam pressure in 100 lb/ in² and let y = critical sheer strength of boiler plate steel joints in tons/ in². We have the following data for a series of factory boilers.

(b) Use the (x', y') data points and a calculator with regression keys to find the least-squares equation y' = a + bx'. What is the correlation coefficient? (Use 3 decimal places.)

(c) Use the results of part (b) to find estimates for α and β in the power law y = αx^β. Write the power equation for the relationship between steam pressure and sheer strength of boiler plate steel. (Use 3 decimal places.)

A research institute poll asked respondents if they felt vulnerable to identity theft. In the​ poll, n = 990 and x = 538 who said​ "yes." Use a 95 % confidence level.

In a study of the accuracy of fast food​ drive-through orders, Restaurant A had 224 accurate orders and 60 that were not accurate. a. Construct a 95​% confidence interval estimate of the percentage of orders that are not accurate. b. Compare the results from part​ (a) to this 95​% confidence interval for the percentage of orders that are not accurate at Restaurant​ B: 0.189 < p < 0.289. What do you​ conclude?

Suppose that 45% of voters favor democracy. Of all voters that favor democracy, 42% are male. What is the probability that a randomly selected voter is a male and favors democracy? Please show all work.

Recall lab experiment described in 13.2. The response variable is weight gains (in grams). There are 3 groups of lab animals, each with 5 test animals. Data are shown in Table. Complete a one way analysis of variance for this problem. Sow all hypothesistesting steps and return results. Data from exercis 13.4: Weight gain in lab mice over one month period

Group 1 (standard) 9.09, 9.96, 9.72, 9.64, 8.14

Group 2 (junk food) 10.21, 10.48, 13.01, 12.74, 12.58

Group 3 (organic) 9.03, 9.55, 12.35, 9.33, 9.51

A snack-size bag of M&Ms candies is opened. Inside, there are 12 red candies, 12 blue, 7 green, 13 brown, 3 orange, and 10 yellow. Three candies are pulled from the bag in succession, without replacement. Determine the probability of the following. (Enter your probabilities as fractions.)

-The first candy drawn is red.

-The second candy drawn is red, given that the first candy drawn is red.

-The third candy drawn is green, given that the first two candies drawn are red.

-The first two candies drawn are red and the third is green.

**please show work

A company would like to estimate its total cost equation using customer records.  The company has randomly sampled 28 customer records. Each customer record contains a Customer #, the Order Size, and the Total Cost of the Order.  The analyst remembers from accounting and economics classes taken in college that

TOTAL COST = Fixed Costs + Variable Cost per Unit *Order Size.

The analysis sees that this is a linear relationship where the TOTAL COST depends on the Fixed Costs, which do not depend on order size, and a variable cost per unit, which is multiplied by the Order Size.  The analysis decides to use simple linear regression to estimate the firm’s Total Cost function.  Use the data file, Estimating a Total Cost Regression Model.xlsx to answer the following questions

1. Develop a 95% confidence interval for the true average unit variable cost. (Look at the regression output produced by Excel for part b.)
2. What percent of the variation in monthly total costs is “explained” by the regression model with monthly production output as the explanatory variable? (Look at the regression output produced by Excel for part )
3. Suppose the plant manager is interested in estimating the mean total costs for several months where output is 30,000 units (i.e., Xp = 30) each month. Develop a 95% confidence interval for the mean total costs for months that average 30,000 units of output.