Do you want to own your own candy store? Wow! With some interest in running your own business and a decent credit rating, you can probably get a bank loan on startup costs for franchises such as Candy Express, The Fudge Company, Karmel Corn, and Rocky Mountain Chocolate Factory. Startup costs (in thousands of dollars) for a random sample of candy stores are given below. Assume that the population of x values has an approximately normal distribution.
90 174 133 99 75 94 116 100 85
(a) Use a calculator with mean and sample standard deviation keys to find the sample mean startup cost x and sample standard deviation s. (Round your answers to one decimal place.)
x = thousand dollars
s = thousand dollars
(b) Find a 90% confidence interval for the population average startup costs μ for candy store franchises. (Round your answers to one decimal place.)
lower limit thousand dollars
upper limit thousand dollars
In: Math
Question 3
In a bag of M & M’s there are 80 M & Ms, with 11 red
ones, 12 orange ones,
20 blue ones, 11 green ones, 18 yellow ones, and 8 brown ones. They
are
mixed up so that each candy piece is equally likely to be selected
if we pick
one.
a) If we select one at random, what is the
probability that it is red?
b) If we select one at random, what is the
probability that it is not blue?
c) If we select one at random, what is the
probability that it is red or orange?
d) If we select one at random, then put it back,
mix them well and select
another one, what is the probability that both the first and second
ones are
blue?
e) If we select one, keep it, and then select a
second one, what is the
probability that the first one is red and the second one is
green?
In: Math
The American Society of PeriAnesthesia Nurses (ASPAN; www.aspan.org) is a national organization serving nurses practicing in ambulatory surgery, preanesthesia, and postanesthesia care. The organization's membership is listed below.
State/Region | Membership | ||
Alabama | 138 | ||
Arizona | 489 | ||
Maryland, Delaware, DC | 551 | ||
Connecticut | 273 | ||
Florida | 522 | ||
Georgia | 461 | ||
Hawaii | 87 | ||
Maine | 145 | ||
Minnesota, Dakotas | 385 | ||
Missouri, Kansas | 194 | ||
Mississippi | 87 | ||
Nebraska | 73 | ||
North Carolina | 387 | ||
Nevada | 64 | ||
New Jersey, Bermuda | 531 | ||
Alaska, Idaho, Montana,Oregon, Washington | 640 | ||
New York | 966 | ||
Ohio | 888 | ||
Oklahoma | 164 | ||
Arkansas | 93 | ||
Illinois | 498 | ||
Indiana | 362 | ||
Iowa | 128 | ||
Kentucky | 205 | ||
Louisiana | 158 | ||
Michigan | 467 | ||
Massachusetts | 341 | ||
California | 1,098 | ||
New Mexico | 37 | ||
Pennsylvania | 371 | ||
Rhode Island | 65 | ||
Colorado | 247 | ||
South Carolina | 284 | ||
Texas | 1,108 | ||
Tennessee | 219 | ||
Utah | 87 | ||
Virginia | 353 | ||
Vermont, New Hampshire | 134 | ||
Wisconsin | 257 | ||
West Virginia | 60 |
find standard deviation, first and third quartile, and the limits for the outliers
In: Math
Sometimes political science students can be confused by similar-sounding terms, such as civil liberties and civil rights, or terms that describe similar but distinct concepts, such as slander and libel. This confusion is often exacerbated when it comes to methodological terms. This exercise is about reinforcing your understanding of similar terms. For each of the word pairs below, define each term and then explain the important differences between them.
1-Internal validity and external validity
In: Math
For this Assignment, you are working at a firm that conducts independent testing for heavy industry. Recently, an automobile manufacturer has been in the news for complaints about the highway gas mileage of their latest model minivan. You receive a contract from a consumer action group to test and write a report on the company’s claim that its minivans get 28 miles per gallon on the highway. The car company agrees to allow you to select randomly 35 low-mileage fleet minivans to test their highway mileage. Your test results gave you the following data:
29.7 24.5 27.1 29.8 29.2 27.0 27.8 24.1 29.3
25.9 26.2 24.5 32.8 26.8 27.8 24.0 23.6 29.2
26.5 27.7 27.1 23.7 24.1 27.2 25.9 26.7 27.8
27.3 27.6 22.8 25.3 26.6 26.4 27.1 26.1
List the null and alternative hypotheses for the two-tail test for the mean. Calculate the observed value of the test statistic and the associated p-value.
Is the observed test statistic in the critical region? Is the p-value higher or lower than your alpha?
List the null and alternative hypotheses for the one-tail test of the mean. Calculate the observed value of the test statistic and the associated p-value.
Is the observed test statistic in the critical region? Will the p-value be higher or lower than your alpha?
In: Math
Statistical Error: Regression to the mean
Definition: In any event where luck or chance is involved, extreme outcomes are followed by more moderate ones.
1. Provide a Human Resource decision that has to be made as an example to regression to the mean.
2. Errors typically occur because the data used to make the decision is flawed in some way. What flawed data could lead to the error for this decision?
3. Think about what data could be used instead (to avoid the error: regression to the mean)?
4. What parameter or statistic will you use to represent the dataset?
5. How could this help avoid the error?
In: Math
Normal |
|
mu |
722 |
sigma |
189 |
xi |
P(X<=xi) |
151 |
0.0013 |
263 |
0.0076 |
532 |
0.1574 |
721 |
0.4979 |
810 |
0.6793 |
961 |
0.8970 |
P(X<=xi) |
xi |
0.11 |
490.1862 |
0.12 |
499.9275 |
0.24 |
588.5088 |
0.31 |
628.2843 |
0.38 |
664.2641 |
0.76 |
855.4912 |
0.89 |
953.8138 |
Use the cumulative normal probability excel output above (dealing
with the amount of money parents spend per child on back-to-school
items) to answer the following question.
The probability is 0.38 that the amount spent on a randomly
selected child will be between two values (in $) equidistant from
the mean. The lower of these equidistant points is provided in the
excel output above. Use the lower endpoint and some math to find
the upper endpoint.
In: Math
Hello,
Would any one give me three survey questions that Conduct Hypothesis Tests for the following:
Thank you
In: Math
Consider the trash bag problem. Suppose that an independent laboratory has tested trash bags and has found that no 30-gallon bags that are currently on the market have a mean breaking strength of 50 pounds or more. On the basis of these results, the producer of the new, improved trash bag feels sure that its 30-gallon bag will be the strongest such bag on the market if the new trash bag’s mean breaking strength can be shown to be at least 50 pounds. The mean of the sample of 39 trash bag breaking strengths in Table 1.9 is x⎯⎯x¯ = 50.573. If we let µ denote the mean of the breaking strengths of all possible trash bags of the new type and assume that σ equals 1.61:
(a) Calculate 95 percent and 99 percent
confidence intervals for µ. (Round your answers to
3 decimal places.)
95 percent confidence intervals for µ is | [, ]. |
99 percent confidence intervals for µ is | [, ]. |
(b) Using the 95 percent confidence interval,
can we be 95 percent confident that µ is at least 50
pounds? Explain.
(Click to select)NoYes , 95 percent interval is (Click to
select)belowabove 50.
(c) Using the 99 percent confidence interval,
can we be 99 percent confident that µ is at least 50
pounds? Explain.
(Click to select)NoYes , 99 percent interval extends (Click to
select)abovebelow 50.
(d) Based on your answers to parts b and c, how convinced are you that the new 30-gallon trash bag is the strongest such bag on the market?
(Click to select)FairlyNot confident, since the 95 percent CI is
(Click to select)belowabove 50 while the 99 percent CI contains
50.
rev : 08_22_2016_QC_CS-57697
In: Math
The Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers take to pay their invoices is important. Listed below, arranged from smallest to largest, is the time, in days, for a sample of The Thomas Supply Company Inc. invoices.
13 13 13 20 26 28 30 33 34 34 35 35 36 37 38
41 41 41 42 46 46 47 48 52 53 55 56 62 67 82
Determine the first and third quartiles, and the second decile and the eighth decile and the 67th percentile
In: Math
a)What two important features do we use to describe the shape of a scatter diagram?
b)What are the five characteristics of graphical excellence?
c). Name two (or more) methods of graphical deception.
In: Math
Individuals filing federal income tax returns prior to March 31 received an average refund of $1077. Consider the population of "last-minute" filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15).
a. A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appropriate hypotheses such that rejection Ho of will support the researcher's contention.
Ho: μ is
Hα: μ is
b. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $920. Based on prior experience a population standard deviation of σ=$1800 may be assumed. What is the p-value (to 4 decimals)?
c. Using , α= 0.05 can you conclude that the population mean refund for "last minute" filers is less than the population mean refund for early filers? Answer the next three questions using the critical value approach.
d. Using α= 0.05, what is the critical value for the test statistic? Enter negative value as negative number. State the rejection rule: Reject α= 0.05 if z is ___ the critical value.
Using α= 0.05, can you conclude that the population mean refund for "last minute" filers is less than the population mean refund for early filers?
In: Math
1. An engineering firm conducts traffic studies on behalf of companies that want to build a new store in Miami, Florida. The average cost of these traffic studies is $15,500, and the standard deviation for these costs is $4,250. These costs have a bell-shaped distribution. What is the approximate percentage of these traffic studies that will cost between $2,750 and $19,750?
Enter your answer as a decimal rounded to two places.
2. Calculate the sample variance for the following set of data from a coffee shop. The values represent the amount of money (in dollars) the cash register is short or over after eight randomly selected shifts: -0.72, 0.42, 1.14, -0.81, -0.13, -0.10, -0.17, and 1.19.
Sample variance = dollars2
3. The median for a left-skewed distribution is 68.5. Which of the statements below are correct?
You must make a selection for each option. Click once to place a check mark for correct answers and click twice to empty the box for the wrong answers.
The mode is more than 68.5. | |
The mean is less than 68.5. | |
The mean is more than 68.5. | |
The mean is also 68.5. |
4.
The mean income of a group of sample observations is $500; the standard deviation is $40. According to Chebyshev’s theorem, at least what percent of the incomes will lie between $400 and $600? (Omit the "%" sign in your response.) |
Percent of the incomes | % |
5.
Consider these five values of a population: 7, 3, 6, 3, and 6. |
(a) |
Determine the mean of the population. (Round your answer to 1 decimal place.) |
Arithmetic mean |
(b) |
Determine the variance of the population. (Round your answer to 2 decimal places.) |
Variance |
In: Math
2. Current estimates suggest that 75% of the home-based computers in a foreign country have access to on-line services. Suppose 20 people with home-based computers were randomly and independently sampled. Find the probability that fewer than 10 of those sampled currently have access to on-line services. Find the probability that more than 9 of those sampled currently do not have access to on-line services.
In: Math
Gale-Shapley: Prove or dissprove the following theorem
In every execution of the hospitals-propose Stable Matching algorithm, there is at most one hospital that makes offers to every doctor.
If anyone can help me with a long-form proof or an example that dissproves this claim!
In: Math