Suppose a sample of 1042 tenth graders is drawn. Of the students sampled, 865 read above the eighth grade level. Using the data, construct the 90% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.
I need help figuring out the formula for this problem.
In: Math
sp shift success
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Construct a contingency table to summarize the distribution of
transactions by sales-
person (Alphonse, Belinda) and by success (Y, N). Please include
the margins in your
table.
(a) (3 points) First express the contingency table as a frequency
table (in terms of
counts)
(b) (1 point) Reproduce the table only this time in terms of
relative frequency (i.e.,
proportions vis a vis the total, rather than row-totals or
column-totals)
(c) Zihan, PJs chief data analyst, has randomly chosen one
transaction from the dataset
represented by the contingency table above (i.e., part b). Please
calculate the
following.
i. (2 points) The probability that the transaction is attributed to
Alphonse (re-
gardless of success) or represents a successful sale attributed to
Belinda.
ii. (2 points) Zihan informs you that the transaction represents a
successful sale.
Calculate the probability that the sale was made by Belinda.
In: Math
Quality Specifications for the bottle filling process = 355 ± 1.5 ml
The sample measurements for Process A & Process B can be found in the attached Excel file Other relevant information for the analysis:
Process A = 11.5 million bottles
Process B = 6.9 million bottles
Estimated cost of overfilling = $0.071 per bottle
Estimated cost of underfilling = $0.134 per bottle
| Process A | Process B | ||||
| bottle nbr | fill volume, ml | bottle nbr | fill volume, ml | ||
| 1 | 353.8716 | 1 | 356.4036 | ||
| 2 | 356.4629 | 2 | 354.8854 | ||
| 3 | 354.3566 | 3 | 356.2884 | ||
| 4 | 354.9326 | 4 | 355.9886 | ||
| 5 | 354.1558 | 5 | 355.3441 | ||
| 6 | 354.6894 | 6 | 355.141 | ||
| 7 | 353.1613 | 7 | 355.5605 | ||
| 8 | 354.492 | 8 | 354.7924 | ||
| 9 | 353.2064 | 9 | 355.7594 | ||
| 10 | 355.0353 | 10 | 356.2499 | ||
| 11 | 354.1497 | 11 | 356.7416 | ||
| 12 | 355.3837 | 12 | 355.6718 | ||
| 13 | 354.8073 | 13 | 355.8648 | ||
| 14 | 354.52 | 14 | 354.8881 | ||
| 15 | 354.127 | 15 | 355.7184 | ||
| 16 | 354.0073 | 16 | 355.5325 | ||
| 17 | 354.5865 | 17 | 355.5129 | ||
| 18 | 355.2267 | 18 | 356.0567 | ||
| 19 | 354.1048 | 19 | 355.9526 | ||
| 20 | 354.7092 | 20 | 356.2481 | ||
| 21 | 354.8251 | 21 | 355.5009 | ||
| 22 | 355.1323 | 22 | 355.8066 | ||
| 23 | 355.6323 | 23 | 355.6735 | ||
| 24 | 355.0618 | 24 | 355.5141 | ||
| 25 | 355.6289 | 25 | 355.6569 | ||
| 26 | 354.5315 | 26 | 355.0254 | ||
| 27 | 354.6454 | 27 | 356.4625 | ||
| 28 | 354.1473 | 28 | 356.3046 | ||
| 29 | 355.5054 | 29 | 356.2273 | ||
| 30 | 354.6658 | 30 | 355.4353 | ||
| 31 | 354.777 | 31 | 356.0174 | ||
| 32 | 354.6489 | 32 | 356.3742 | ||
| 33 | 354.9304 | 33 | 355.3607 | ||
| 34 | 356.0081 | 34 | 355.6758 | ||
| 35 | 353.5191 | 35 | 355.2479 | ||
| 36 | 354.089 | 36 | 356.5349 | ||
| 37 | 355.4005 | 37 | 356.1038 | ||
| 38 | 354.7968 | 38 | 356.1314 | ||
| 39 | 354.5803 | 39 | 356.1499 | ||
| 40 | 354.5402 | 40 | 356.9204 | ||
| 41 | 353.9612 | 41 | 356.0494 | ||
| 42 | 355.3751 | 42 | 355.8082 | ||
| 43 | 355.2035 | 43 | 355.7958 | ||
| 44 | 354.7033 | 44 | 356.4498 | ||
| 45 | 355.5842 | 45 | 355.0805 | ||
| 46 | 355.2069 | 46 | 355.6821 | ||
| 47 | 355.291 | 47 | 355.7853 | ||
| 48 | 355.5132 | 48 | 356.0396 | ||
| 49 | 354.4062 | 49 | 354.5163 | ||
| 50 | 354.8773 | 50 | 355.1708 | ||
| 51 | 354.0812 | 51 | 356.8699 | ||
| 52 | 355.5711 | 52 | 355.8047 | ||
| 53 | 356.8612 | 53 | 356.1663 | ||
| 54 | 354.6389 | 54 | 356.2781 | ||
| 55 | 355.4831 | 55 | 355.6501 | ||
| 56 | 354.4165 | 56 | 355.1498 | ||
| 57 | 354.4106 | 57 | 356.1733 | ||
| 58 | 353.8034 | 58 | 355.3848 | ||
| 59 | 355.779 | 59 | 355.4425 | ||
| 60 | 354.3574 | 60 | 355.7853 | ||
| 61 | 354.2061 | 61 | 355.6234 | ||
| 62 | 355.3 | 62 | 355.2701 | ||
| 63 | 353.8064 | 63 | 355.3693 | ||
| 64 | 355.0172 | 64 | 356.0998 | ||
| 65 | 355.2049 | 65 | 354.3443 | ||
| 66 | 356.0506 | 66 | 355.2375 | ||
| 67 | 355.5254 | 67 | 356.0556 | ||
| 68 | 355.9298 | 68 | 355.6644 | ||
| 69 | 354.6942 | 69 | 355.9695 | ||
| 70 | 354.879 | 70 | 356.0207 | ||
| 71 | 354.876 | 71 | 355.8412 | ||
| 72 | 353.2011 | 72 | 356.013 | ||
| 73 | 355.69 | 73 | 356.0578 | ||
| 74 | 355.2879 | 74 | 355.0693 | ||
| 75 | 354.881 | 75 | 356.2371 | ||
| 76 | 353.4271 | 76 | 356.4531 | ||
| 77 | 354.3281 | 77 | 355.8708 | ||
| 78 | 355.4182 | 78 | 355.7516 | ||
| 79 | 354.7104 | 79 | 356.0311 | ||
| 80 | 354.5383 | 80 | 355.336 | ||
| 81 | 354.2397 | 81 | 356.6274 | ||
| 82 | 355.7615 | 82 | 355.5591 | ||
| 83 | 355.7941 | 83 | 355.577 | ||
| 84 | 353.7047 | 84 | 356.3873 | ||
| 85 | 355.3057 | 85 | 355.4378 | ||
| 86 | 355.4152 | ||||
| 87 | 355.7074 | ||||
| 88 | 354.8495 | ||||
| 89 | 356.3219 | ||||
| 90 | 355.2006 | ||||
| 91 | 356.162 | ||||
| 92 | 356.7196 | ||||
| 93 | 354.69 | ||||
| 94 | 354.7049 | ||||
| 95 | 355.2266 | ||||
| 96 | 355.7611 | ||||
| 97 | 356.1532 | ||||
| 98 | 355.2149 | ||||
| 99 | 354.9555 | ||||
| 100 | 356.2889 | ||||
| 101 | 356.1144 | ||||
| 102 | 355.8599 | ||||
| 103 | 356.2266 | ||||
| 104 | 356.2091 | ||||
| 105 | 355.8744 | ||||
| 106 | 355.8112 | ||||
| 107 | 355.1513 | ||||
| 108 | 355.2167 | ||||
| 109 | 355.2743 | ||||
| 110 | 355.2112 | ||||
| 111 | 355.8082 | ||||
| 112 | 355.8028 | ||||
a. Calculate numerical measures for Central Tendency and for Dispersion on both processes.
b. Construct confidence interval for the true Mean (µ) of each of the processes. Comment on the results. Is there an issue with the mean of any of the processes? Explain the results.
c. Construct confidence interval for the true Standard Deviation (σ) of each of the processes. Comment on the results. Is there an issue with the dispersion of any of the processes? Explain the results.
d. Run a hypothesis test (a t-test) for the Mean of each process being equal to the target value of 355 ml. Comment on the results e. Draw a histogram (with normal-distribution fit) for both processes; interpret the results (also, draw the two theoretical normal distributions overlapping in the same graph to facilitate interpretation)
f. Construct a Normal Probability Plot for each of the process. What can you conclude?
g. Estimate the expected number of bottles overfilled per year from each of the processes
h. Estimate the expected number of bottles overfilled per year from each of the processes
i. Calculate and compare the annual cost of overfilling AND underfilling per process. Comment on the results.
j. Make your Final Conclusions and Recommendations
minitab plz
In: Math
Suppose that the distribution for total amounts spent by students vacationing for a week in Florida is normally distributed with a mean of 650 and a standard deviation of 120. Suppose you take a SRS of 15 students from this distribution. What is the probability that an SRS of 15 students will spend an average of between 600and700? Round to five decimal places.
In: Math
Both data sets have a mean of 245. One has a standard deviation of 16, and the other has a standard deviation of 24. LOADING... Click the icon to view data sets. Which data set has which deviation?
|
Bold left parenthesis a right parenthesis(a) |
2020 |
88 |
99 |
Key:
2020 |88equals=208208 |
Bold left parenthesis b right parenthesis(b) |
2020 |
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|
2121 |
44 |
55 |
88 |
2121 |
55 |
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2222 |
11 |
55 |
2222 |
22 |
33 |
55 |
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2323 |
00 |
00 |
66 |
77 |
2323 |
00 |
22 |
55 |
88 |
88 |
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2424 |
44 |
55 |
66 |
2424 |
11 |
11 |
22 |
33 |
33 |
33 |
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2525 |
11 |
33 |
66 |
88 |
2525 |
11 |
55 |
88 |
88 |
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2626 |
00 |
55 |
99 |
2626 |
22 |
33 |
44 |
55 |
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|
2727 |
66 |
2727 |
00 |
55 |
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|
2828 |
33 |
55 |
77 |
2828 |
A. (a) has a standard deviation of 24 and (b) has a standard deviation of 16, because the data in (a) have more variability.
B. (a) has a standard deviation of 16 and (b) has a standard deviation of 24, because the data in (b) have less variability.
In: Math
Sleeping outlier: A simple random sample of nine college freshmen were asked how many hours of sleep they typically got per night. The results were
8.5 24 9 8.5 8 6.5 6 7.5 9.5
Notice that one joker said that he sleeps 24 a day.
(a) The data contain an outlier that is clearly a mistake. Eliminate the outlier, then construct a 99.9% confidence interval for the mean amount of sleep from the remaining values. Round the answers to at least two decimal places.
(b) Leave the outlier in and construct the 99.9% confidence interval. Round the answers to at least two decimal places.
(c) Are the results noticeably different?
In: Math
In a random sample of 8 residents of the state of Washington, the mean waste recycled per person per day was 1.9 pounds with a standard deviation of 0.29 pounds. Determine the 80% confidence interval for the mean waste recycled per person per day for the population of Washington. Assume the population is approximately normal. Step 2 of 2: Construct the 80% confidence interval. Round your answer to one decimal place. Lower end__________ Upper end______________
In: Math
7. In a study to test the effects of science fiction movies on people's belief in the supernatural, seven people completed a measure of belief in the supernatural before and after watching a popular science fiction movie. Participants' scores are listed below with high scores indicating higher levels of belief. Using the .01 significance level, test the experimenter's assumption that the participants' belief in the supernatural would change after watching the movie.
Belief-in-Supernatural Scores Participant
| Before | After | |
| A | 6 | 7 |
| B | 3 | 5 |
| C | 6 | 6 |
| D | 6 | 2 |
| E | 1 | 9 |
| F | 3 | 7 |
| G | 2 | 3 |
After
A) What is the appropriate test for this data?
B) Conduct the appropriate hypothesis test by hand. Follow the five steps of hypothesis testing and provide a drawing.
C) Give an interpretation of this data and, when appropriate, report the statistics.
D) Explain how you found the characteristics of the comparison distribution. In your explanation, be sure to use the names of the concepts. For example, if you are calculating variance for the distribution of means call it that. Do not simply say “that number”.
Mbefore = 3.86
Mafter = 5.57
SSbefore= 26.86
SSafter = 35.71
Mdifference = 1.71
SSdifference = 102
Difference = After – before
In: Math
On Saturdays, cars arrive at Sami Schmitt's Scrub and Shine Car Wash at the rate of 6 cars per fifteen minute interval. Using the Poisson distribution, the probability that five cars will arrive during the next five minute interval is _____________.
In: Math
The American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 25 who smoke.
Step 1 of 2: Suppose a sample of 2017 Americans over 25 is drawn. Of these people, 564 smoke. Using the data, estimate the proportion of Americans over 25 who smoke. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Step 2 of 2:
Suppose a sample of 2017 Americans over 25 is drawn. Of these people, 564 smoke. Using the data, construct the 95% confidence interval for the population proportion of Americans over 25 who smoke. Round your answers to three decimal places.
In: Math
A particular fruit's weights are normally distributed, with a
mean of 336 grams and a standard deviation of 11 grams.
If you pick 17 fruit at random, what is the probability that their
mean weight will be between 331 grams and 345 grams? State your
answer to four decimal places.
In: Math
Sixty percent of dogs from a certain breed will chase a thrown ball. In a group of 15 dogs of this breed,
What’s the probability that less than 10 will chase a ball?
What’s the probability that at least 12 will chase a ball?
What’s the probability that exactly 8 will chase a ball?
What’s the probability that at most 4 will not chase a ball?
In: Math
Discuss the bases for the selection of the statistical treatment to be used.
In: Math
A coin with probability of heads equal to .6 is tossed a first series of 10 tosses.
Let X be the number of heads and let Y be the number of tails obtained.
(a) (1 POINT) Argue
with a short sentence that the covariance Cov(X, Y) should be
negative.
(b) (1 POINT) Find Cov(X,Y).
In a second series of tosses, the same coin is tossed as many times as the number of heads in the first series.
(c) (3 POINTS) Find the expected number of heads in the first and second series of tosses.
(d) (3 POINTS) Find the probability that the number of heads in the second series is 0.
In: Math
4) A magazine reported the results of a survey in which readers were asked to send their responses to several questions regarding good eating. DataSet for question 4,5,6 is the reported results to the question, How often do you eat chocolate? Based on the data answer the following questions.
a) Were the responses to this survey obtained using voluntary sampling technique? Explain
b) What type of bias may be present in the response?
c) is 13% a reasonable estimate of the proportion of all Americans who eat chocolate frequently? Explain.
5) A magazine reported the results of a survey in which readers were asked to send in their responses to several questions regarding anger. DataSet2 for Question 5 shows the reported results to the question, How long do you usually stay angry? Answer the following questions based on the data.
a) Were the responses to this survey obtained using voluntary sampling technique?
b) What type of bias may be present in the response?
c) Is 22% a reasonable estimate of the proportion of all Americans who hold a grudge indefinitely? Explain.
6) Students in marketing class have been asked to conduct a survey to determine whether or not there is demand for an insurance program at a local college. The Students decided to randomly select students from the local college and mail them a questionnare regarding the insurance program. Of the 150 questionnaire that were mailed, 50 students responded to the following survey item: Pick the Category which best describes your interest in an insurance program. DataSet2 for question 6 shows the responses. Use this data to answer the following question.
a)What type of bias may be present in the response?
b) is 50% a reasonable estimate of the proportion of all students who would be very interested in an insurance program at a local college? Explain.
c) is 50% a reasonable estimate of the proportion of all business majors who would be very interested in an insurance program at a local college? Explain.
d) What strategies do you think the marketing students could have used in order to get a less biased response to their survey?
e) Suppose the program was created and only a few people registered. How could the survey question have been reworded to better predict the actual enrollment?
DATA SET FOR QUESTION 4, 5 AND 6
Table for Question 4 – Survey Responses
Category % of Responses
Frequently 13
Occasionally 45
Seldom 37
Never 5
Table for Question 5 – Survey Responses
Category % of Responses
A few hours or less 48
A day 12
Several days 9
A month 1
I hold a grudge indefinitely 22
It depends on the situation 8
Table for Question 6 – Survey Responses
Category % of Responses
Very Interested 50
Somewhat Interested 15
Interested 10
Not Very Interested 5
Not At All Interested 20
In: Math