Consider the following data on distances traveled by 100 people to visit the local park.

Expand and construct the table adding columns for relative frequency and cumulative relative frequency. Then plot Histogram, Frequency Polygon and Ogive Curve.

A box in a certain supply room contains four 40-W lightbulbs, five 60-W bulbs, and seven 75-W bulbs. Suppose that three bulbs are randomly selected. (Round your answers to four decimal places.)

(a) What is the probability that exactly two of the selected bulbs are rated 75-W?

(b) What is the probability that all three of the selected bulbs have the same rating?

(c) What is the probability that one bulb of each type is selected?

(d) Suppose now that bulbs are to be selected one by one until a 75-W bulb is found. What is the probability that it is necessary to examine at least six bulbs?

Question 6

In a recent sample of 84 used car sales costs, the sample mean was $6,425 with a sample standard deviation of $3,156.

Assume the underlying distribution is approximately normal.

Part I) Which distribution should you use for for determining a confidence interval for estimating the population mean for used car sales costs?

a   Normal Distribution

b     t Distribution

c     Uniform

d     Chi Sq distribution

Part II) What is the number of degrees of freedom (df) for this problem.

Par III) Define the random variable X by selecting the appropriate letter below.

a     An individual data item randomly selected from the population, some times referred to as the parent population.

b     The average of n individual data item randomly selected from the parent population. In this question n is 84.

Part IV) Define the random variable X ¯ (Xbar) by selecting the appropriate letter below.

c     An individual data item randomly selected from the population, sometimes referred to as the parent population.

d     The average of n individual data item randomly selected from the parent population. In this question n is 84.

Part V) Construct a 95% confidence interval for the population mean time wasted.

Enter your answers rounded to 0 decimal places (Enter answer as an integer).

In the two answer locations provided enter the lower bound of the confidence interval first followed by the upper bound.

Part VI)

What is meant by the term “95% confident” when constructing a confidence interval for a mean?

a.    If we took repeated samples, approximately 95% of the samples would produce the same confidence interval.

b     If we took repeated samples, approximately 95% of the confidence intervals calculated from those samples would contain the sample mean.

c     If we took repeated samples, the sample mean would equal the population mean in approximately 95% of the samples

d     If we took repeated samples, approximately 95% of the confidence intervals calculated from those samples would contain the true value of the population mean.

Calculate the value for the marked cell (?).

Question 7 options:

The owner of the Britten's Egg Farm wants to estimate the mean number of eggs produced per chicken.  A representative random sample of 25 chickens show they produce an average of 20 eggs per month with a sample standard deviation (s) of 2 eggs per month. The distribution is known to be symmetrical and is close enough to normal to be treated as a normal distribution.

Answer the following questions related to the above paragraph and calculate a 90% confidence interval for the mean number of eggs produced per chicken on the Britten's Egg Farm.

a     What is the point estimate of the mean number of eggs produced per chicken?
       Enter answer with 0 decimal places (integer).

b     What is the appropriate distribution for calculating a 90% confidence interval?

c The degrees of freedom (df) for this problem is?
Enter Na or 0 for the df if the appropriate distribution does not required a df.

e     The 90% conference interval for the mean number eggs produced per month is:

Enter the lower and upper limits for the conference interval by entering the lower limit first.
Rounded each conference limit to 1 decimal point.

F     Prior to this study the owner of the Britten's Egg Farm Egg Farm believed the mean amount off eggs produced per month on his farm was 22.

Does the study support his belief with a 90% confidence?

a     Yes. The mean amount of eggs produced per month on his farm could be 22 per month because the number 22 is not contained in the confidence interval.

b     Yes. The mean amount of eggs produced per month on his farm could be 22 per month because the number 22 is contained in the confidence interval.

c     No. The mean amount of eggs produced per month on his farm is most likely not 22 per month because the number 22 is not contained in the confidence interval.

d     No. The mean amount of eggs produced per month on his farm is most likely not 22 per month because the number 22 is contained in the confidence interval.

e    The owner can not comment on the mean amount of eggs produced per month on his farm because the confidence interval is based upon a sample.

Enter the correct answer by selecting and entering the appropriate letter.

Decisions about alpha level may be different, especially as it relates from hard sciences to social sciences. For example, a medical trial for cancer treatments conducts their statistical tests at .0001 – so for every 1 out of 10,000 patients, there may be issues, sickness or even death. For social science, we use alpha .05. We are comfortable with performing research, for example, on students. So we are satisfied with losing 5 out of 100 students or having our results being incorrect 5 out of 100 times. Do you agree with these alpha levels? Why or why not? What if your child’s education and the teacher assigned to him/her would be successful 95 out of 100 times?

The distribution of online sale price for four-year-old Harley-Davidson touring motorcycles is approximately Normally distributed with a mean of $15,000 and a standard deviation of $4,000.

(A) Mr. Rampal plans to spend between $9,000 and $12,000 on one of these motorcycles. What proportion of the available motorcycles of this type can he afford?

(B)What is the 30th percentile for the prices of motorcycles of this type?

(C)Show that a motorcycle of this type priced at $28,000 is considered an outlier by the 1.5xIQR rule.

This is an introduction to social science research methods course:

Imagine you’re planning to estimate the price of the average book at your college bookstore.

The bookstore carries 13,000 titles, but you plan to sample only 200 books.

You will select a sample of 200 books, record the price of each book, and use the average of the 200 books to estimate the average price of the 13,000 titles in the bookstore.

Assume that the bookstore can give you access to a database that lists all 13,000 titles that it carries.

Based on this information, clearly answer the following questions?

How might you collect a cluster sample?

How might you collect a quota sample?

A health psychologist tests a new intervention to determine if it can change healthy behaviors among siblings. To conduct the this test using a matched-pairs design, the researcher gives one sibling an intervention, and the other sibling is given a control task without the intervention. The number of healthy behaviors observed in the siblings during a 5-minute observation were then recorded.

(a) Test whether or not the number of healthy behaviors differ at a 0.05 level of significance. State the value of the test statistic. (Round your answer to three decimal places.)

(b) Compute effect size using eta-squared. (Round your answer to two decimal places.)

To demonstrate flavor aversion learning (that is, learning to dislike a flavor that is associated with becoming sick), researchers gave one group of laboratory rats an injection of lithium chloride immediately following consumption of saccharin-flavored water. Lithium chloride makes rats feel sick. A second control group was not made sick after drinking the flavored water. The next day, both groups were allowed to drink saccharin-flavored water. The amounts consumed (in milliliters) for both groups during this test are given below.

(a) Test whether or not consumption of saccharin-flavored water differed between groups using a 0.05 level of significance. State the value of the test statistic. (Round your answer to three decimal places.) ?

(b) Compute effect size using eta-squared (η²). (Round your answer to two decimal places.)
η² =

For the year 2009, the table below gives the percent of people living below the poverty line in the 26 states east of the Mississippi River. Answer the following questions based on this data. State Percent Alabama 7.5 Connecticut 7.9 Delaware 14.9 Florida 13.2 Georgia 12.1 Illinois 10.0 Indiana 9.9 Kentucky 11.9 Maine 13.3 Maryland 10.9 Massachusetts 7.9 Michigan 15.8 Mississippi 9.1 State Percent New Hampshire 14.6 New Jersey 8.3 New York 9.1 North Carolina 12.1 Ohio 13.6 Pennsylvania 10.5 Rhode Island 8.2 South Carolina 12.5 Tennessee 10.0 Vermont 7.3 Virginia 10.4 West Virginia 10.5 Wisconsin 16.1 Calculate the standard deviation for this sample data. Do NOT round during the course of your calculations. Round only your final answer to two decimal places. (5 pts.)

With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is okay. The ABC Electronics Company has just manufactured 1950 write-rewrite CDs, and 50 are defective. If 6 of these CDs are randomly selected for testing, what is the probability that the entire batch will be accepted?

Last year, 45% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 35% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 80 business owners.

(A) How many business owners in the survey plan to provide a holiday gift to their employees this year?

(B) Suppose the business owners in the sample did as they plan. Compute the p-value for a hypothesis test that can be used to determine if the proportion of business owners providing holiday gifts has decreased from last year.

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =

(C) Using a 0.05 level of significance, would you conclude that the proportion of business owners providing gifts decreased?

Reject H₀. There is sufficient evidence to conclude that the proportion of business owners providing holiday gifts has decreased from last year.

Do not reject H₀. There is sufficient evidence to conclude that the proportion of business owners providing holiday gifts has decreased from last year.

Reject H₀. There is insufficient evidence to conclude that the proportion of business owners providing holiday gifts has decreased from last year.

Do not reject H₀. There is insufficient evidence to conclude that the proportion of business owners providing holiday gifts has decreased from last year.

(E) What is the smallest level of significance for which you could draw such a conclusion? (Round your answer to four decimal places.)

I have heard students say in the past "I hope this teacher grades on a curve." What do they mean by this? Is it beneficial to you or not?

Please explain your work. Thanks.

Compute the probability of each of the following poker hands occurring (poker hand = 5 cards dealt out of a regular 52-card deck, the order does not matter). For the following explanations, let the letters u, v, w, x, y, z indicate face values (i.e. ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king). Please note that aces can be either high (that is, they come after the king sequentially) or low (that is, they act like a “one”), but never both at the same time.

a. Royal flush (10, jack, queen, king, ace; all of the same suit)

b. Straight flush (not royal) (five sequential cards, all of the same suit)

c. Four of a kind (x, x, x, x, y)

d. Flush (not straight or royal) (five cards, not all sequential, of the same suit)

e. Straight (not royal or flush) (five sequential cards, not all of the same suit)

f. Full house (x, x, x, y, y) g. Three of a kind (x, x, x, y, z)

h. Two pairs (x, x, y, y, z) i. At least 4 face cards (face cards are jacks, queens, and kings)

j. No more than one ace