The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April, 12, 2012). Suppose we take a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries. a. State the null hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries. 1. 2. 3. Choose correct answer from above choice State the alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries. 1. 2. 3. Choose correct answer from above choice b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value. Round your answer to four decimal places. c. With = .05 as the level of significance, what is your conclusion? p-value .05, H 0. We that the population mean hourly wage for manufacturing workers the population mean of $24.57 for the goods-producing industries. d. Repeat the preceding hypothesis test using the critical value approach. Round your answer to two decimal places. Enter negative values as negative numbers. z = ; H 0

Suppose a "psychic" is being tested to determine if she is really psychic. A person in another room concentrates on one of five colored cards, and the psychic is asked to identify the color. Assume that the person is not psychic and is guessing on each trial. Define a success as "psychic identifies correct color". (a) What is p, the probability of success on a single trial? (show 1 decimal place) (b) If we conduct 10 trials, what is the probability that the psychic guesses zero or one of the colors correctly? (show 2 decimal places) (c) What is the mean or expected value of X, the number of correct answers out of 10 trials?

The following n = 10 observations are a sample from a normal population.

7.3    7.0    6.4    7.4    7.6    6.3    6.9    7.6    6.4    7.0

(a) Find the mean and standard deviation of these data. (Round your standard deviation to four decimal places.)

mean
standard deviation

(b) Find a 99% upper one-sided confidence bound for the population mean μ. (Round your answer to three decimal places.)


(c) Test H₀: μ = 7.5 versus H_a: μ < 7.5. Use α = 0.01.

State the test statistic. (Round your answer to three decimal places.)

t =

State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)

t >

t <

State the conclusion.

H₀ is rejected. There is insufficient evidence to conclude that the mean is less than 7.5.

H₀ is not rejected. There is sufficient evidence to conclude that the mean is less than 7.5.    

H₀ is not rejected. There is insufficient evidence to conclude that the mean is less than 7.5.

H₀ is rejected. There is sufficient evidence to conclude that the mean is less than 7.5.

(d) Do the results of part (b) support your conclusion in part (c)?

Yes

No   

In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.

Is fishing better from a boat or from the shore? Pyramid Lake is located on the Paiute Indian Reservation in Nevada. Presidents, movie stars, and people who just want to catch fish go to Pyramid Lake for really large cutthroat trout. Let row B represent hours per fish caught fishing from the shore, and let row A represent hours per fish caught using a boat. The following data are paired by month from October through April.

	Oct	Nov	Dec	Jan	Feb	March	April
B: Shore	1.7	1.9	2.0	3.2	3.9	3.6	3.3
A: Boat	1.4	1.5	1.7	2.2	3.3	3.0	3.8

Use a 1% level of significance to test if there is a difference in the population mean hours per fish caught using a boat compared with fishing from the shore. (Let d = B − A.)

(a) What is the level of significance?

What is the value of the sample test statistic? (Round your answer to three decimal places.)

____________________________________

In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.

The western United States has a number of four-lane interstate highways that cut through long tracts of wilderness. To prevent car accidents with wild animals, the highways are bordered on both sides with 12-foot-high woven wire fences. Although the fences prevent accidents, they also disturb the winter migration pattern of many animals. To compensate for this disturbance, the highways have frequent wilderness underpasses designed for exclusive use by deer, elk, and other animals. In Colorado, there is a large group of deer that spend their summer months in a region on one side of a highway and survive the winter months in a lower region on the other side. To determine if the highway has disturbed deer migration to the winter feeding area, the following data were gathered on a random sample of 10 wilderness districts in the winter feeding area. Row B represents the average January deer count for a 5-year period before the highway was built, and row A represents the average January deer count for a 5-year period after the highway was built. The highway department claims that the January population has not changed. Test this claim against the claim that the January population has dropped. Use a 5% level of significance. Units used in the table are hundreds of deer. (Let d = B − A.)

Wilderness District	1	2	3	4	5	6	7	8	9	10
B: Before highway	10.1	7.4	12.7	5.6	17.4	9.9	20.5	16.2	18.9	11.6
A: After highway	9.1	8.2	10.0	4.1	4.0	7.1	15.2	8.3	12.2	7.3

(a) What is the level of significance?

What is the value of the sample test statistic? (Round your answer to three decimal places.)

Construct the confidence interval for the population mean

muμ.

cequals=0.980.98​,

x overbar equals 8.2x=8.2​,

sigmaσequals=0.90.9​,

and

nequals=5858

A

9898​%

confidence interval for

muμ

is

left parenthesis nothing comma nothing right parenthesis .,.

​(Round to two decimal places as​ needed.)

Answers are in bold under questions. I just need to know how to get them, so Please show work!!

A) If 25% of all vehicles at a certain emissions inspection failed the inspection. Assuming that successive vehicles pass or fail independently of one another. Calculate the following probabilities:

At least seven of the last 40 vehicles inspected failed.

0.9038

B) If 25% of all vehicles at a certain emissions inspection failed the inspection. Assuming that successive vehicles pass or fail independently of one another. Calculate the following probabilities:

In between 15 and 18 of the last 20 inspected passed

0.5929

C) If 25% of all vehicles at a certain emissions inspection failed the inspection. Assuming that successive vehicles pass or fail independently of one another. Calculate the following probabilities:

Given that less than 5 of the last 25 vehicles inspected failed, what is the probability that less than 3 of the 25 vehicles inspected failed?

0.1502

During a command staff meeting a presentation is being made regarding a study recently completed by a consultant on crime suppression strategies. This study was commissioned by the Mayor who is under political pressure to reduce the crime rate in your community. The study revealed that crime rates are reduced by several factors, as indicated in a multiple regression statistical model. The consultant presented the following table which includes each factor and its beta coefficient. During the meeting the Captain sitting next to you turns to you and whispers, “I can’t make heads or tails of this statistics stuff. Which factor appears to have the most effect on reducing the crime rate?” Answer the Captain’s question. Assume each of the following beta coefficients are statistically significant. Factor A .534 Factor B -.345 Factor C .893 Factor D -602  

A production facility employs 16 workers on the day shift, 14 workers on the swing shift, and 8 workers on the graveyard shift. A quality control consultant is to randomly select 6 of these workers for in-depth interviews. (a) What is the probability that all 6 selected workers will be from the same shift? (b) What is the probability that at least two different shifts will be represented among the selected workers? (c) What is the probability that exactly 2 of the workers in the sample come from the day shift?

In a few more weeks, you will be adding a new member to your family – a 10-week old golden retriever puppy! In previous litters, the average weight of 42 puppies at 10 weeks was 14.8 lbs with a standard deviation of 1.1 lbs.

Find the 90% confidence interval for the average 10-week weight for golden retriever puppies. Show/explain your work, and identify the following:

a. The estimated population mean and degrees of freedom

b. The assumptions you are making for this calculation

c. The critical value for the distribution

d. The margin of error

e. The 90% CI, stated as a complete sentence

They main goal is to find either a Z score or T score for the data below

What is the population mean and the sample mean for the elevations (in feet) of the trails below:

Mount Chocorua via Liberty Trail: 2,502 feet of elevation gain

Welch-Dickey Loop: 1,807 feet of elevation gain

Lonesome Lake Trail: 1,040 feet of elevation gain

Mount Willard: 985 feet of elevation gain

Red Hill Fire Tower: 1,350 feet of elevation gain

Pack Monadnock: 840 feet of elevation gain

Mount Cardigan’s Holt Trail: 1,800 feet of elevation gain

Mount Washington via Tuckerman Ravine: 4,238 feet of elevation gain

Presidential Traverse: 4,989 feet of elevation gain

Mount Moosilauke: 2,342 feet of elevation gain

The Carters: 3,305 feet of elevation gain

Mount Carrigain via Signal Ridge: 3,257 feet of elevation gain

Mount Flume + Mount Liberty Loop: 3,099 feet of elevation gain

Mount Isolation via glen boulder trail: 4,931 feet of elevation gain

Mount Monroe Trail: 2,572 feet of elevation gain

Maine

Hunt and Helon Taylor trail: 8,021 feet of elevation gain

Katahdin Loop Trail: 3,894 feet of elevation gain

Abol Trail: 3,950 feet of elevation gain

Hunt Trail: 4,169 feet of elevation gain

Mount Katahdin and Hamlin peak Trail: 4,438 feet of elevation gain

Baxter Peak Via Saddle Trail: 3,832 feet of elevation gain

Knife Edge Trail: 3,987 feet of elevation gain

Dudley Trail: 5,360 feet of elevation gain

Chimney pond Trail: 1,463 feet of elevation

Katahdin North Loop Trail: 4,061 feet of elevation gain

Doubletop Mountain Trail: 4,704 feet of elevation gain

Big Spencer Mountain Trail: 1,820 feet of elevation gain

North traveler Mountain Trail: 3,694 feet of elevation gain

Big Moose Mountain Trail: 1,843 feet of elevation gain

Cranberry Peak Trail: 2,070 feet of elevation gain

I was to choose 30 hiking trails (15 from New Hampshire and 15 from Maine) and record their elevations. My hypothesis for this is I believe that the mean is greater then or equal to 2,500ft. I'm having trouble figuring out my population mean and my sample mean. Also I need to find out my z score or t score and show a graph showing whether its left or right tailed or both.

What role do variability and statistical methods play in controlling quality?

(16.19) A class survey in a large class for first-year college students asked, "About how many hours do you study in a typical week?". The mean response of the 427 students was x¯¯¯ = 17 hours. Suppose that we know that the study time follows a Normal distribution with standard deviation 8 hours in the population of all first-year students at this university. What is the 99% confidence interval (±0.001) for the population mean? Confidence interval is from to hours.

1. A new restaurant keeps track of the number of nightly customers at monthly intervals over the course of a year. The restaurant has done very little advertising; most of its publicity is by word of mouth but its number of customers is increasing. The restaurant does not have a seasonal difference in number of customers (for example, no summer crowds).

1. Using the data below, fit each an exponential regression model to the data using Excel.

Month	Nightly customers
0	35
1	41
2	46
3	54
4	66
5	84
6	103
7	117
8	141
9	180
10	222
11	275

1. Write down your regression equation.

2. Enter the regression equation into your calculator and use the table feature to estimate when the restaurant will have 400 people.

3. What does the model predict about the number of customers in 18 months?

4. What does the model predict as time goes on? For example how many customers will be at the restaurant in 300 months (25 years), is this reasonable?

5. What is the growth rate of your regression equation? Find and interpret it.

Answer questions 33, 34, and 35 on separate sheets of paper and turn in with your scantron.

The ages of the Vice Presidents of the United States at the time of their death are listed below. Construct a frequency distribution to summarize the data. Use 6 classes. List the relative and cumulative frequencies. List the class boundaries and class midpoints. Use Excel to construct a histogram to display the data.

90	83	80	73	70	51	68	79	70	71	72
74	67	54	81	66	62	63	68	57	66	96
78	55	60	66	57	71	60	85	76	98	77
88	78	81	64	66	77	70

Refer to the data set in question 33 above. Construct a stem and leaf plot to depict the ages of the vice-presidents at the time of their deaths.

Use EXCEL to construct a Pareto chart for the number of tons (in millions) of trash recycled per year by Americans based on an Environmental Protection Agency study.

Type	Amount
Paper	320
Iron/steel	282
Aluminum	268
Yard waste	242
Glass	196
Plastics	42