a survey of 2284 adults in a certain large country aged 18 and older conducted by reputable polling organization founded that 424 have donated blood in the past two years. Complete Parts (a) through (C).
a) obtain a point estimate for the population proportion of adults in the country age 18 and older who have donated blood in the past two years.

b) verify that the requirements for constructing a confidence interval.
the sample [ a) can be assumed to be b)is stated to not be. c) cannot be assumed to be. d) is stated to be. ] a simple random sample, the value of [ a)np b) p(1-p) c) np(1-p) d) p.] is [ ]. which is [ a) greater than. b) less then] 10. & the [ a) population size b) sample population c) sample size d) population proportion] [ a)can be assumed to be. b) is stated to not be c) cannot be assumed to be d) is stated to] less than or equal to 5% of the [a) sample proportion b) population proportion c) population size d) sample size.]

c. construct and interpret a 90% confidence interval for the population proportion of adults in the country who have donated blood in the past two years. Select the correct Choice below and fill in any answer box within your choice.( type integer or decimal rounded to three decimal places as needed. Use ascending order)
A) we are [ ]% confident the proportion of adults in the country aged 18 and older who have donated blood in the past two years is between [ ] and [ ].
B) there is a [ ]% chance the proportion of adults in the country aged 18 and older who have donated blood in the past 2 years is between [ ] and [ ].

Suppose you are trying to determine the number of boxes you need to order to be able to ship the orders from your small business this week. You consistently over- or underestimate how many you need, so you decide to figure it out with statistics! You take a sample of data you’ve recorded from past orders.

Consider a sample with the following properties: x̅ = 893.6, s = 63.2, n = 48

A) Why might you prefer an interval estimate over a point estimate?

B) Calculate a confidence interval with a confidence level of 95%

C) Interpret your results from part B.

D) Calculate a confidence interval with a confidence level of 99%

E) Why is the 99% confidence interval wider than the 95% confidence interval?

The table below gives the age and bone density for five randomly selected women. Using this data, consider the equation of the regression line, yˆ=b0+b1xy^=b0+b1x, for predicting a woman's bone density based on her age. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.

Table

Copy Data

Step 1 of 6 :  

Find the estimated slope. Round your answer to three decimal places

Step 2 of 6: Find the estimated y-intercept. Round your answer to three decimal places.

Step 3 of 6: Determine if the statement "Not all points predicted by the linear model fall on the same line" is true or false.

Step 4 of 6: Determine the value of the dependent variable ˆy at x = 0.

Step 5 of 6: According to the estimated linear model, if the value of the independent variable is increased by one unit, then the change in the dependent variable ˆy is given by?

Step 6 of 6: Find the value of the coefficient of determination. Round your answer to three decimal places

An important application of regression analysis in accounting is in the estimation of cost. By collecting data on volume and cost and using the least squares method to develop an estimated regression equation relating volume and cost, an accountant can estimate the cost associated with a particular manufacturing volume. Consider the following sample of production volumes and total cost data for a manufacturing operation.

Production Volume (units) Total Cost ($) 400 4,900 450 5,900 550 6,300 600 6,800 700 7,300 750 7,900

Compute b1 and b0 (to 1 decimal).

b1 b0 Complete the estimated regression equation (to 1 decimal).y= + x

What is the variable cost per unit produced (to 1 decimal)? $

Compute the coefficient of determination (to 3 decimals).

Note: report r2 between 0 and 1. r2 =

What percentage of the variation in total cost can be explained by the production volume (to 1 decimal)? %

The company's production schedule shows 500 units must be produced next month.

What is the estimated total cost for this operation (to the nearest whole number)? $

Create a case (please refer to the sample below) on the application of inferences about the difference between two population means (σ1 and σ2 unknown) and explain the hypothesis tests until conclusion.

EXAMPLE:

22% express an interest in seeing XYZ television show. KL Broadcasting Company ran commercials for this XYZ television show and conducted a survey afterwards. 1532 viewers who saw the commercials were sampled and 414 said that they would watch XYZ television show.

What is the point estimate of the proportion of the audience that said they would watch the television show after seeing the commercials?

At α=0.05, determine whether the intent to watch the television show significantly increased after seeing the television commercials. Formulate the appropriate hypothesis, compute the p-value, and state your conclusion.

Predictive analytics is a hot topic and has become more needed due to the enormous increase in the amount of data available. It has become more approachable though due to the enormous increase in computing power and the development of machine learning. Think about your place of work and how you might use what we've learned to examine predictive analytics

Predictive analytics in business is an important application of multiple regression analysis. Generally, speaking, what is meant by predictive analytics? As a business owner, how could you use regression analysis and predictive analytics to increase your company's sales?

The acceptance rate for a university is 42 percent. Assuming the binomial to the normal distribution. Of the next 10 applications what is the probability that they will accept: (WHEN ROUNDING DO NOT ROUND ANY CALCULATION UNTIL THE VERY END)

a) Find the mean: μ = n ⋅ p =  round to a single decimal.

b) Calculate the standard deviation. σ = n ⋅ p ⋅ q =  . Round to 4 decimals.

c) Determine the probability that exactly four applicants will be accepted.  round to 4 decimals

d) Determine the probability that between four and six applications will be accepted.  round to 4 decimals.

e) Determine the probability that at least two of the applicants will be accepted. (You may use the complement rule here).  round to 4 decimals.

f) What is the probability for the university to accept none or more than 7 applications?  Round to 4 decimals. Would it be unusual for the university to accept no or more than 7 applicants?  Yes/No.

you are given a sample mean and the population standard deviation. use the information to construct the 90% and 95% confidence intervals for the population mean. interpret the results and compare the widths of the confidence intervals. from a random sample of 34 days. mean closing price of a certain stock was 121.96. standard deviation is 10.74.

In North America many birds die because they collide with windows of high-rise buildings. One possible solution to resolve the problem is to construct windows angled down slightly toward the ground, so that they reflect the ground rather than an image of the sky to flying bird. An experiment compared the number of birds that died as a result of vertical windows, windows angled 20° of vertical and windows angled 40° off vertical. The angles were randomly assigned with equal probability to six windows and changed daily. Window shape, color and other external characteristics were kept identical. Window locations matched the same location characteristics in terms of ground and sky.

• What other conditions need to be kept identical in this experiment to avoid influencing the results?
• Over the course of the experiment 30 birds were killed by windows in the vertical orientation, 15 were killed by windows set at 20° off vertical and 8 birds were killed by windows set at 40° of vertical. Do birds appear to hit high-rise building windows at random and die?
• Now answer the following question: Do the data support the assumption that window angles relative to the vertical do not change bird death rates from as a result of collision with a window of a high-rise building?

In a survey on supernatural experiences, 712 of 4011 adult Americans surveyed reported that they had seen or been with a ghost.

(a) What assumption must be made in order for it to be appropriate to use the formula of this section to construct a confidence interval to estimate the proportion of all adult Americans who have seen or been with a ghost? We need to assume that there are only 712 adult Americans. We need to assume that the 4011 people formed a random sample of adult Americans. We need to assume that the 4011 people were surveyed at a supernatural convention. We need to assume that the 712 people are the only Americans who had seen or been with a ghost.

(b) Construct a 90% confidence interval for the proportion of all adult Americans who have seen or been with a ghost. (Round your answers to three decimal places.)

Below we have records of cat 3 or higher Atlantic hurricanes making landfall on US coast lines over a period of 100 years. Why is it reasonable to assume that cat 3 or higher making landfall on US coast lines can be modelled by the Poisson distribution? Now using the following table examine whether the theoretical justification is supported by the record. Carefully mention all assumptions necessary to carry out the needed test.

Assume a normal population with known variance σ2, a random sample (n< 30) is selected. Let x¯,s represent the sample mean and sample deviation. (1)(2pts) write down the formula: 98% one-sided confidence interval with upper bound for the

population mean. (2)(6pts) show how to derive the confidence interval formula in (1).

Note: Please write down the formulas clearly. Thank you

A bored student starts rolling a die.

(a) Let N7 be the number of tries he needs to get 7 fours. Find a formula for the exact probability P(N7 = 42). You do not have to evaluate it to get a number. To get started note that in order for N7 = 42, the 42nd toss must be a four.

(b) Let N30 be the number of tries he needs to get 30 fours. Use the central limit theorem with the histogram correction to calculate P (N30 ≤ 180).