Given a binomial distribution with a sample of size 15 trees and the probability of damage by fungi of 0.10, find

a. P(# damaged trees = 3) =

b. P(# of damaged trees is less than 3) =

c. P( at least 3 but no more than 6 damaged trees are found)=

d. the population mean

e. population variance

What are 2 concepts of statistics hard to understand?

George, the Room Service Supervisor at the London Inn, just received the forecast for the weekend orders. Based on this forecast, he has to decide whether the regular hours of his staff will be sufficient, if he needs to prepare them to do some overtime (maximum 20% of the forecasted demand) or, as a last resort, if he needs to hire temporary workers (subcontracting) to be able to deliver all orders.

The associated costs are:

Forecasted requirements are:

Constraints on overtime are:

1. Develop a schedule plan that minimizes costs using the transportation method. Due to the nature of the business, there's no inventory, no stock out and no back order. On the other hand, if the regular staff capacity for the period is larger than the demand, there will be a cost for idle time.
2. State the corresponding schedule plan and its total costs?

Historically, the average score of PGA golfers for one round is 74 with a standard deviation of 3.91. A random sample of 110 golfers is taken. What is the probability that the sample mean is between 73.63 and 74?

Question 2 options:

In a certain population of mussels (mytilus edulis) 80% of the individuals are infected with an intestinal parasite. A marine biologist plans to examine 100 randomly chosen mussels from the population. Let ? represent the number of mussels in this sample with the intestinal parasite.

9) Clearly state the distribution that ? follows, Explain why you picked this distribution? State the distribution we may use to approximate it.

10) Approximate the probability that between 75% and 90% (inclusive) of the mussels in the sample are infected. Note: show your R code for calculating the probability under the normal curve or z-value.

Total Labor Hours = Beta0 + Beta1 Number of Cases Shipped + Beta2 Indirect Costs of Total Labor Hours + Beta3 Holiday + E where E is assumed normal with mean 0 and constant variance. Assume that the regression model here is appropriate. A new shipment is to be received with x1=250,000; x2=6.70; x3=0. Obtain a 95% confidence interval for the mean response for this shipment. Interpret this interval.

At a local department store, let X be an independent variable for the number of salespeople on the floor and y the dependent variable for daily sales in thousands of dollars. The next screen will present the data.

X={5, 6, 7, 8, 9, 10}                Y = {7, 8, 9, 12, 15, 20}

1.   Write down the prediction equation.

2. Write down SSE, S2, SSyy and S(std. dev).

3. Predict the retail sales when there are 10 salespeople on the floor and then calculate the prediction error.

4. Construct a 95% confidence interval for b1.

5. Test if the number of salespeople on the floor is significant to the prediction of y.

6. Find the coefficient determination and interpret.

7. Find the 95% confidence interval for E(Y) when x = 10 salespeople.

8. Find a 95% prediction interval for Y when x = 10 salespeople.           

9.   Predict Y if x = 4 salespeople and find the confidence interval for E(y) and the prediction interval for Y. Is there a residual? If not, why not? If yes then what is it?

An environmentalist wants to find out the fraction of oil tankers that have spills each month. Step 2 of 2 : Suppose a sample of 669 tankers is drawn. Of these ships, 529 did not have spills. Using the data, construct the 98% confidence interval for the population proportion of oil tankers that have spills each month. Round your answers to three decimal places. previous answer is .209.

The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught.

Step 2 of 2 :  

Suppose a sample of 726 suspected criminals is drawn. Of these people, 232 were captured. Using the data, construct the 98% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list. Round your answers to three decimal places. previous answer if needed was .320

How do you use statistical analysis in your work or even home life? Please give examples of how you use it or, if you do not think you use it, how it is used in your work place.

A major department store chain is interested in estimating the average amount its credit card customers spent on their first visit to the chain's new store in the mall. 15 credit card accounts randomly sampled produced a mean of $50.50 and a standard deviation of $20. Find a 95% confidence interval for the average amount the credit card customers spent on their first visit to the chain's new supply store in the mall.

Here is the data from the post-treatment measurement of memory after 3 months of “ginko biloba therapy.” The scores represent number of words recalled on a test that required memorization of random lists of nouns.

84, 70, 94, 73, 81, 88, 99, 75, 63, 91, 85, 72

Do the following statistical calculations: Mean, Median, Mode, Range, Variance and Standard Deviation

Create a proper graphical display for the above data (measurement of memory performance) using SPSS.

Thirty small communities in Connecticut (population near 10,000 each) gave an average of x = 138.5 reported cases of larceny per year. Assume that σ is known to be 41.9 cases per year.

(a) Find a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)

(b) Find a 95% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)

(c) Find a 99% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)

Here is a contingency (frequency) table based on some recent data. CSUDH students majoring in psychology or business were ask which option they’d choose given the choice between taking intermediate statistics and receiving one semester’s credit for participation in a local dental school’s study of a new root canal procedure done entirely without anesthesia.

CHOICE                     STATISTICS ROOT CANAL

MAJOR

PSYCHOLOGY                     35                                55                               

BUSINESS                            70                               25                               

ANSWER THE FOLLOWING QUESTIONS:

A. What is the ratio of psychology to business majors?           

B. What proportion and percentage of the sample were business majors?         

C. At the .05 level test to see if there is an association between major and preference for statistics or root canal.

A statistics practitioner took a random sample of 55 observations from a population whose standard deviation is 27 and computed the sample mean to be 110.

Note: For each confidence interval, enter your answer in the form (LCL, UCL). You must include the parentheses and the comma between the confidence limits.

A. Estimate the population mean with 95% confidence.

Confidence Interval =

B. Estimate the population mean with 90% confidence.

Confidence Interval =

C. Estimate the population mean with 99% confidence.

Confidence Interval =