The time required
to assemble an electronic component
is normally distributed, with a mean of
12 minutes and a standard deviation of
1.5 minutes. Find the probability that a
particular assembly takes:
a less than 14 minutes
b less than 10 minutes
c more than 14 minutes
d more than 8 minutes
e between 10 and 15 minutes.
In: Math
You submit your recommendations to your manager, and she tells you, “Thank you very much, but we have additional data for the Green Town Hopper: A 30% DOH results in a saving of 255 gallons per year. Please resubmit your recommendations taking this into account by tomorrow.” [hinT: You now have four data points on each graph, so try a general cubic instead: R 5 ax3 1 bx2 1 cx 1 d. Use a graph to estimate the optimal DOH
In: Math
88 Discuss the appropriateness of the frequentist practice of
keeping the level of a test constant irrespective of the sample
size.
89 What is the pre-testing problem? What are your views about this problem?
90 What is the post-selection problem? What are your views about
this problem?
In: Math
I want to know how to solve the following in excel. What is the x value and what is the Y value using the data table below?
Wal-Mart is the second largest retailer in the world. The data file (Wal-Mart Revenue 2004-2009.xlsx) is posted below the case study one file, and it holds monthly data on Wal-Mart’s revenue, along with several possibly related economic variables.
A. Develop a linear regression model to predict Wal-Mart revenue, using CPI as the only independent variable.
B. Develop a linear regression model to predict Wal-Mart revenue, using Personal Consumption as the only independent variable.
C. Develop a linear regression model to predict Wal-Mart revenue, using Retail Sales Index as the only independent variable.
D. Which of these three models is the best? Use R-square values, Significance F values, p-values and other appropriate criteria to explain your answer.
E. Generate a scatter plot, residual plot and normal probability plot for the best model in part (d) and comment on what you see.
Date | Wal Mart Revenue | CPI | Personal Consumption | Retail Sales Index | December |
1/30/2004 | 12.131 | 554.9 | 7977730 | 281463 | 0 |
2/27/2004 | 13.628 | 557.9 | 8005878 | 282445 | 0 |
3/31/2004 | 16.722 | 561.5 | 8070480 | 319107 | 0 |
4/29/2004 | 13.98 | 563.2 | 8086579 | 315278 | 0 |
5/28/2004 | 14.388 | 566.4 | 8196516 | 328499 | 0 |
6/30/2004 | 18.111 | 568.2 | 8161271 | 321151 | 0 |
7/27/2004 | 13.764 | 567.5 | 8235349 | 328025 | 0 |
8/27/2004 | 14.296 | 567.6 | 8246121 | 326280 | 0 |
9/30/2004 | 17.169 | 568.7 | 8313670 | 313444 | 0 |
10/29/2004 | 13.915 | 571.9 | 8371605 | 319639 | 0 |
11/29/2004 | 15.739 | 572.2 | 8410820 | 324067 | 0 |
12/31/2004 | 26.177 | 570.1 | 8462026 | 386918 | 1 |
1/21/2005 | 13.17 | 571.2 | 8469443 | 293027 | 0 |
2/24/2005 | 15.139 | 574.5 | 8520687 | 294892 | 0 |
3/30/2005 | 18.683 | 579 | 8568959 | 338969 | 0 |
4/29/2005 | 14.829 | 582.9 | 8654352 | 335626 | 0 |
5/25/2005 | 15.697 | 582.4 | 8644646 | 345400 | 0 |
6/28/2005 | 20.23 | 582.6 | 8724753 | 351068 | 0 |
7/28/2005 | 15.26 | 585.2 | 8833907 | 351887 | 0 |
8/26/2005 | 15.709 | 588.2 | 8825450 | 355897 | 0 |
9/30/2005 | 18.618 | 595.4 | 8882536 | 333652 | 0 |
10/31/2005 | 15.397 | 596.7 | 8911627 | 336662 | 0 |
11/28/2005 | 17.384 | 592 | 8916377 | 344441 | 0 |
12/30/2005 | 27.92 | 609.4 | 8955472 | 406510 | 1 |
1/27/2006 | 14.555 | 573.9 | 9034368 | 322222 | 0 |
2/23/2006 | 16.87 | 595.2 | 9079246 | 318184 | 0 |
3/31/2006 | 16.639 | 598.6 | 9123848 | 366989 | 0 |
4/28/2006 | 17.2 | 603.5 | 9175181 | 357334 | 0 |
5/25/2006 | 16.901 | 606.5 | 9238576 | 380085 | 0 |
6/30/2006 | 21.47 | 607.8 | 9270505 | 373279 | 0 |
7/28/2006 | 16.542 | 609.6 | 9338876 | 368611 | 0 |
8/29/2006 | 16.98 | 610.9 | 9352650 | 382600 | 0 |
9/28/2006 | 20.091 | 607.9 | 9348494 | 352686 | 0 |
10/20/2006 | 16.583 | 604.6 | 9376027 | 354740 | 0 |
11/24/2006 | 18.761 | 603.6 | 9410758 | 363468 | 0 |
12/29/2006 | 28.795 | 604.5 | 9478531 | 424946 | 1 |
1/26/2007 | 16.1 | 606.3 | 9540335 | 332797 | 0 |
2/23/2007 | 17.984 | 594.6 | 9500318 | 327686 | 0 |
3/30/2007 | 18.939 | 599.3 | 9547774 | 376491 | 0 |
4/27/2007 | 22.47 | 613.3 | 9602393 | 366936 | 0 |
5/25/2007 | 19.201 | 642.8 | 9669845 | 389687 | 0 |
6/29/2007 | 23.77 | 623.9 | 9703817 | 382781 | 0 |
7/27/2007 | 18.942 | 625.6 | 9776564 | 378113 | 0 |
8/31/2007 | 19.38 | 626.9 | 9791220 | 392125 | 0 |
9/28/2007 | 22.491 | 623.9 | 9786798 | 362211 | 0 |
10/26/2007 | 18.983 | 619.9 | 9816093 | 364265 | 0 |
11/30/2007 | 21.161 | 620.6 | 9931068 | 372970 | 0 |
12/28/2007 | 31.245 | 642.5 | 9953178 | 434488 | 1 |
1/25/2008 | 19.923 | 623.4 | 10018937 | 342422 | 0 |
2/29/2008 | 21.512 | 622.3 | 10146599 | 344464 | 0 |
3/28/2008 | 19.023 | 626.9 | 10197093 | 339463 | 0 |
4/25/2008 | 20.178 | 651.2 | 10255207 | 388158 | 0 |
5/30/2008 | 21.9 | 636.1 | 10326976 | 378653 | 0 |
6/27/2008 | 21.24 | 638.7 | 10363123 | 397579 | 0 |
7/25/2008 | 22.1 | 640.2 | 10440525 | 394488 | 0 |
8/29/2008 | 20.981 | 641.9 | 10456119 | 389780 | 0 |
9/26/2008 | 20.419 | 643.2 | 10451414 | 403812 | 0 |
10/31/2008 | 20 | 641.2 | 10482584 | 373978 | 0 |
11/28/2008 | 21.022 | 637.9 | 10521902 | 381932 | 0 |
12/26/2008 | 32.85 | 656.9 | 10508628 | 443677 | 1 |
1/30/2009 | 19.784 | 637.8 | 10578596 | 350195 | 0 |
2/27/2009 | 20.962 | 639.7 | 10714428 | 353997 | 0 |
3/27/2009 | 22.951 | 638.9 | 10768153 | 356183 | 0 |
4/24/2009 | 22.062 | 643.7 | 10829987 | 351032 | 0 |
5/29/2009 | 20.856 | 648.1 | 10906349 | 354928 | 0 |
6/26/2009 | 23.700 | 649.4 | 10944809 | 395869 | 0 |
7/31/2009 | 24.413 | 651.4 | 11027165 | 389656 | 0 |
In: Math
describe the negative impact of using inappropriate measurements, including examples
In: Math
3. The average sale per customer at a department store is $120.00 with a standard deviation of $10.00.
According to the Empirical Rule, the percentage of sales between
$90.00 and $150.00 would be __________________
Using Chebyshev’s Theorem, the upper and lower limits for 75% of the data values =
_________to ___________.
c) If a customer spends $160.00, which of the following is correct?
a) It is an outlier because it’s more than 3 standard deviations below the mean.
b) It is an outlier because it’s more than 3 standard deviations above the mean.
c) It is not an outlier.
d) None of the above is correct.
In: Math
1. Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.)
The area to the right of z = 1.50 is _________
2. Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.)
The area to the left of z = −1.33 is ________
3. Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.)
The area between z = −2.25 and z = 1.41 is ________
4.Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.)
The area between z = −2.48 and z = −1.80 is ________
5. Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
μ = 5.0; σ = 2.4.
P(3 ≤ x ≤ 6) = ________
6. Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
μ = 109; σ = 12
P(x ≥ 90) = ________
In: Math
An educational psychologist is examining response times to an on-screen stimulus. The researcher believes there might be a weak effect from age, but expects a more pronounced effect for different color contrasts. She decides to examine a black on white (B/W) combination compared to 2 alternatives: red on white (R/W) and yellow on blue (Y/B). Here is the data for response times (in milliseconds):
Color Scheme | ||||
---|---|---|---|---|
B/W | R/W | Y/B | ||
Age | 16–17 | 10 26 16 22 11 36 31 22 |
20 19 31 7 43 16 20 23 |
7 20 33 43 3 22 24 19 |
18–19 | 26 18 25 13 34 15 17 21 |
17 35 37 39 47 36 15 19 |
30 30 44 22 35 35 27 22 |
|
20–21 | 20 29 29 18 23 25 41 26 |
28 19 25 18 40 30 26 28 |
16 38 27 25 42 42 35 39 |
Using MS Excel, conduct a 2-way ANOVA with α=0.05α=0.05. Fill in the summary table: P-values should be accurate to 4 decimal places and all other values accurate to 3 decimal places.
Source | SS | df | MS | F-ratio | P-value | Partial η2η2 |
---|---|---|---|---|---|---|
Age (AA) | 2 | |||||
Color (BB) | 2 | |||||
Interaction (A×B)(A×B) | 4 | |||||
Error | 63 |
In: Math
The table lists the sugar content of two types of apples from three different orchards. At , test the claim that the sugar content of the apples and the orchard where they were grown are not related. Sugar Content Orchard 1 Orchard 2 Orchard 3 Apple Type 1 4 2 6 Apple Type 2 28 10 14
In: Math
During the past year, on the average, 289 books were checked out daily from the public library in Stucco, Wyoming. This year, the city fathers of Stucco have attempted to increase circulation through various promotions such as bookmobiles, youth programs, and visits to local organizations. In order to evaluate their efforts, they have taken a random sample of 50 days of the current year and calculated the mean number of books checked out daily --288-- and the standard deviation--23. Based on this data, it is likely (95% confidence level) that the daily circulation of books has not increased? Please show math step by step. how you would put it in a TI-84 calculator to arrive at your answer
In: Math
1.A sample of 80 is drawn from a population with a proportion equal to 0.50. Determine the probability of observing between 33 and 50 successes.
2.For a population that is left skewed with a mean of 27 and a standard deviation equal to 16, determine the probability of observing a sample mean of 25 or more from a sample of size 37.
3. For a normal population with a mean equal to 80 and a standard deviation equal to 11, determine the probability of observing a sample mean of 87 or less from a sample of size 11.
In: Math
3.26Daily activity. It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minutes per day that people spend standing or walking.10 Among mildly obese people, minutes of activity varied according to the N(373, 67) distribution. Minutes of activity for lean people had the N(526, 107) distribution. Within what limits do the active minutes for about 95% of the people in each group fall? Use the 68–95–99.7 rule.
3.27Low IQ test scores. Scores on the Wechsler Adult Intelligence Scale (WAIS) are approximately Normal with mean 100 and standard deviation 15. People with WAIS scores below 70 are considered intellectually disabled when, for example, applying for Social Security disability benefits. According to the 68–95–99.7 rule, about what percent of adults are intellectually disabled by this criterion?
3.28Standard Normal drill.In each case, sketch a standard Normal curve and shade the area representing the region.
(a)z ≤ −2.15
(b)z ≥ −2.15
(c)z > 1.57
(d)−2.15 < z < 1.57
3.29Standard Normal drill.
(a)Find the number z such that the proportion of observations that are less than z in a standard Normal distribution is 0.3.
(b)Find the number z such that 35% of all observations from a standard Normal distribution are greater than z.
3.30Fruit flies. The common fruit fly Drosophila melano-gaster is the most studied organism in genetic research because it is small, is easy to grow, and reproduces rapidly. The length of the thorax (where the wings and legs attach) in a population of male fruit flies is approximately Normal with mean 0.800 millimeters (mm) and standard deviation 0.078 mm.
(a)What proportion of flies have thorax length less than 0.6 mm?
(b)What proportion have thorax length greater than 0.9 mm?
(c)What proportion have thorax length between 0.6 mm and 0.9 mm?
3.33A milling machine. Automated manufacturing operations are quite precise but still vary, often with distributions that are close to Normal. The width in inches of slots cut by a milling machine follows approximately the N(0.8750, 0.0012) distribution. The specifications allow slot widths between 0.8725 and 0.8775 inch. What proportion of slots meet these specifications?
3.37The middle half. The quartiles of any distribution are the values with cumulative proportions 0.25 and 0.75. They span the middle half of the distribution. What are the quartiles of the distribution of gas mileage?
3.44Grading managers. Some companies “grade on a bell curve” to compare the performance of their managers and professional workers. This forces the use of some low performance ratings so that not all workers are listed as “above average.” Ford Motor Company’s “performance management process” for this year assigned 10% A grades, 80% B grades, and 10% C grades to the company’s managers. Suppose Ford’s performance scores really are Normally distributed. This year, managers with scores less than 25 received C grades and those with scores above 475 received A grades. What are the mean and standard deviation of the scores?
In: Math
Researchers are trying to estimate the proportion of patients trying a new experimental drug who experience a skin rash as a side-effect. 245 patients took this drug as part of early research, and these 245 patients are considered representative of the population who would take this drug in the future. 2.86% of these patients reported a skin rash. We would like to construct a 90% confidence interval for the proportion of potential drug users who would develop a skin rash.
What would be the standard error for our sample proportion, using the information we have from our sample to estimate that? Round to 3 decimal places
a 90% confidence interval will go 1.65 standard errors out in either direction. Calculate the lower bound of this 90% confidence interval for the true proportion of drug users who experience a skin rash as a side effect
In: Math
For each scenario write the letter for what kind of hypothesis test or confidence interval is described. A. One sample z-test for a mean B. One sample t-test for a mean C. Matched pairs difference in means D. Two sample t-test for means independent E. One sample z-test for a proportion F. Two sample z-test for p1-p2 G. None of the above i. _______ An anthropology major believes the distribution of homes per city from the Anasazi Indians is normally distributed with a standard deviation of 12 homes. A random sample of 10 Anasazi cities shows an average of 46 homes. He wants an 85% confidence interval for the true overall average.
In: Math
Refer to the table below. Given that 2 of the 127 subjects are randomly selected, complete parts (a) and (b).
Rh + Rh -
O 43 12
A 31 10
B 11 4
AB 13 3
a. Assume that the selections are made with replacement. What is the probability that the 2 selected subjects are both group AB and type Rh +?
b. Assume the selections are made without replacement. What is the probability that the 2 selected subjects are both group AB and type Rh+?
In: Math