Answer ASAP please!!!
In: Math
A manufacturing plant bought a new machine to package its product. After some testing, the plant supervisor decided that the packages needed about 300 packing peanuts to keep the product safe. She set the new machine to dispense the peanuts into each box but wanted to test to make sure the machine was operating correctly. She ran the machine 20 times and counted the number of packing peanuts dispensed.
The plant conducts a one-mean hypothesis at the 5% significance level, to test if the the mean number of peanuts dispensed is different from 300.
(a) H0:μ=300; Ha:μ≠300, which is a two-tailed test.
(b) Student test scores are given below.
Use Excel to test whether the mean number of peanuts dispensed is different from 300. Identify the test statistic, t, from the output, rounding to two decimal places.
286
291
268
305
321
311
295
341
325
280
295
329
296
340
335
307
325
310
331
291
test statistic = p-value =
In: Math
Regression Statistics | ||||||||
Multiple R | 0.451216205 | |||||||
R Square | 0.203596063 | |||||||
Adjusted R Square | 0.190097692 | |||||||
Standard Error | 0.051791629 | |||||||
Observations | 61 | |||||||
ANOVA | ||||||||
df | SS | MS | F | Significance F | ||||
Regression | 1 | 0.040458253 | 0.040458253 | 15.083009 | 0.000262577 | |||
Residual | 59 | 0.158259997 | 0.002682373 | |||||
Total | 60 | 0.19871825 | ||||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |
Intercept | 0.00987396 | 0.006785133 | 1.455234544 | 0.150904641 | -0.00370306 | 0.023450979 | -0.00370306 | 0.023450979 |
S&P | 0.752212332 | 0.193685208 | 3.883684976 | 0.000262577 | 0.364649126 | 1.139775537 | 0.364649126 | 1.139775537 |
Current estimate given to us in the directions | ||||||||
1.07 | ||||||||
RESIDUAL OUTPUT | ||||||||
Observation | Predicted Y | Residuals | Standard Residuals | |||||
1 | 0.038198737 | -0.01978845 | -0.385302506 | |||||
2 | -0.00179574 | 0.144257104 | 2.808841664 |
1. How does your estimate of beta compare with the beta estimate provided (1.07)? Why might your estimate differ from estimated beta of 1.07?
2. How much of the variability of your security’s return is “explained” by the variability of returns in the “market”? (Note: In your case, the market is represented by the S&P 500 Index.) Do you think that a different market index might be a better representation of the market for your particular security? Why/Why not?
3. What is the correlation of returns for your security with the market for the selected time period? Might this relationship change over time, and if so, how and why?
4. Does the relationship between your security and the market appear to be statistically significantly different than zero? What evidence from the regression supports your conclusion?
5. Review the standardized residuals and comment about the importance of individual data points (if any) that may have influenced your estimation of beta. (observation 2 is the only skewed one)
In: Math
Quality of Marriage Quality of the Parent–Child Relationship
76 43
81 33
78 23
76 34
76 31
78 51
76 56
78 43
98 44
88 45
76 32
66 33
44 28
67 39
65 31
59 38
87 21
77 27
79 43
85 46
68 41
76 41
77 48
98 56
98 56
99 55
98 45
87 68
67 54
78 33
In: Math
Learning Objectives
Using Chi Square
Using a statistical test without having a good idea of what it can and cannot do means that you may misuse the test. This also means that you won't have a clear grasp of what your results really mean. We know that there are basically two types of random variables and they yield two types of data: numerical and categorical. Up to this point in class, we've focused mostly on numerical data. A Chi-square (X2) analysis is used to investigate whether distributions of categorical variables differ from one another. We do this by comparing observed frequencies in different categories of one or more independent variables. Then, we compare these observed frequencies with expected frequencies and determine if there is a significant, proportional difference in the frequency counts of the different categories.
About Your Data
A Psychologist is interested in looking at the personality traits of Business majors. She administers the Big Five personality inventory to 258 Business majors at her university. For each participant, their strongest personality trait was determined and tallied in the corresponding category. The results she obtained are reported below. The psychologist has brought you in to analyze her data. You will need to perform a Chi-square test of goodness of fit.
Open |
Conscientious |
Extrovert |
Agreeable |
Neurotic |
|
Participants |
41 |
52 |
46 |
61 |
58 |
Instructions
In this lab, you will be completing a Chi-square test in both SPSS and Excel. You will interpret your results. You will submit screenshots and your interpretations.
Chi-Square In SPSS
Open SPSS.
Chi-Square In Excel
Open Microsoft Excel.
Open the Chi-Square in Excel video above. Using the personality data listed in the previous section, follow the steps in the video exactly. Perform all of the same steps. This will be more like a computer-assisted walkthrough of Chi-square. The only thing you don't need to worry about is highlighting rows and columns with color, though I would encourage you to do so. If you run into problems, you might try searching YouTube for other videos providing similar tutoring.
In: Math
Mother's age 18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,51
Female 1, 0, 2, 2, 3, 4, 7, 3, 2, 4, 7, 1, 6, 4, 5, 3, 1, 4, 0, 1, 1, 1, 0, 1, 0
Use the stem and leaf plots that you previously created to help you draw and label histograms on your scratch paper with bin width of 2 for mothers's age at birth of female students and for mother's age at birth of male students. Make the lower bound of your first bin 16.
Comment: Bin width of 2 is not a typo. Yes, your stem and leaf plot has bins of 5 so some thinking is required, but at least your stem and leaf plot has the values in order for you.
Stem |
1 |
1 |
2 |
2 |
3 |
3 |
4 |
4 |
5 |
Stem | Leaf | ||||||||||||||||||
1 | |||||||||||||||||||
1 | 8 | ||||||||||||||||||
2 | 0 | 0 | 1 | 1 | 2 | 2 | 3 | 3 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | ||
2 | 5 | 5 | 5 | 6 | 6 | 7 | 7 | 7 | 7 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 9 | ||
3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 3 | 3 | 3 | 4 |
3 | 5 | 5 | 5 | 5 | 7 | 8 | 9 | ||||||||||||
4 | 1 | ||||||||||||||||||
4 | |||||||||||||||||||
5 |
In: Math
A presidential candidate's aide estimates that, among all college students, the proportion p who intend to vote in the upcoming election is at least 70%. If 158 out of a random sample of 235 college students expressed an intent to vote, can we reject the aide's estimate at the 0.1 level of significance?Perform a one-tailed test. Then fill in the table below.Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
|
In: Math
Salmon Weights: Assume that the weights of spawning Chinook salmon in the Columbia river are normally distributed. You randomly catch and weigh 18 such salmon. The mean weight from your sample is 22.2 pounds with a standard deviation of 4.7 pounds. You want to construct a 99% confidence interval for the mean weight of all spawning Chinook salmon in the Columbia River.
(a) What is the point estimate for the mean weight of all
spawning Chinook salmon in the Columbia River?
pounds =
(b) Construct the 99% confidence interval for the mean weight of
all spawning Chinook salmon in the Columbia River. Round
your answers to 1 decimal place.
? < μ < ?
(c) Are you 99% confident that the mean weight of all spawning
Chinook salmon in the Columbia River is greater than 20 pounds and
why?
No, because 20 is above the lower limit of the confidence interval.
Yes, because 20 is below the lower limit of the confidence interval.
No, because 20 is below the lower limit of the confidence interval.
Yes, because 20 is above the lower limit of the confidence interval.
(d) Recognizing the sample size is less than 30, why could we use
the above method to find the confidence interval?
Because the sample size is less than 100.
Because the sample size is greater than 10.
Because the parent population is assumed to be normally distributed.
Because we do not know the distribution of the parent population.
In: Math
Suppose that 3 balls are chosen from an urn which contains 5
red, 6 white and 10 blue balls. Assume X and Y represents,
respectively, the number of red balls chosen and summation of
chosen red and white balls.
(a) Determine the outcomes, and then represent all possible
outcomes with a chart of X and Y.
(b) Determine pXY [x,y], and then from pXY [x,y] determine, pX[x]
and pY [y].
(c) Determine Cov(X, Y ) and ρXY .
(d) Determine the joint CDF.
In: Math
A group of 10 adults is asked to type a passage of text. Here are their times in seconds: 28.9, 27.3, 29.1, 31.5, 27.7, 29.3, 28.3, 30.1, 30.7, 30.9 where ¯x=29.38 and s=1.4. Typing time for the same text passage is normally distributed with unknown mean μ, and known standard deviation σ=1.6. At significance level α=0.005, is the sample showing strong evidence that mean typing time of this text passage is other than 30? Accurate to 4 decimal places, which of the following is σ¯x used for this testing hypothesis problem?
In: Math
The price of a share of stock divided by the company's estimated future earnings per share is called the P/E ratio. High P/E ratios usually indicate "growth" stocks, or maybe stocks that are simply overpriced. Low P/E ratios indicate "value" stocks or bargain stocks. A random sample of 51 of the largest companies in the United States gave the following P/E ratios†.
11 | 35 | 19 | 13 | 15 | 21 | 40 | 18 | 60 | 72 | 9 | 20 |
29 | 53 | 16 | 26 | 21 | 14 | 21 | 27 | 10 | 12 | 47 | 14 |
33 | 14 | 18 | 17 | 20 | 19 | 13 | 25 | 23 | 27 | 5 | 16 |
8 | 49 | 44 | 20 | 27 | 8 | 19 | 12 | 31 | 67 | 51 | 26 |
19 | 18 | 32 |
(a) Use a calculator with mean and sample standard deviation keys to find the sample mean x and sample standard deviation s. (Round your answers to one decimal place.)
x = | |
s = |
(b) Find a 90% confidence interval for the P/E population mean μ of
all large U.S. companies. (Round your answers to one decimal
place.)
lower limit | |
upper limit |
(c) Find a 99% confidence interval for the P/E population mean μ of
all large U.S. companies. (Round your answers to one decimal
place.)
lower limit | |
upper limit |
In: Math
Q: The mars company claims that 13 percent of M&Ms plain candies distributed into bags are brown. Investigate this claim with an appropriate hypothesis test. Use a significance level of a= 0.05
Color |
Count |
Brown |
33 |
Non-Brown |
242 |
Total |
275 |
1. The p-value for this test statistic is: _______________.
2. Null Hypothesis:
3. Alternative Hypothesis:
4. Conclusion: We REJECT/DO NOT REJECT the null hypothesis. (Circle the correct answer) State what this conclusion means in terms of the problem.
5. Would it be more likely the null hypothesis is rejected for an individual bag of M&M’s, or when we poolthe class results together? Explain your answer.
In: Math
Discuss how more sophisticated simulation and Crystal Ball can be used to address complex business issues.
In: Math
The objective of the question is to test the Hypothesis If the Mean travel time in minutes between Point A to Point B is equal to the mean of the travel time in minutes from Point B to your A. First you must find the mean and standard deviations. Then perform and list the complete required steps for the TWO required Hypothesis tests and ALSO USE THE P-VALUE AS A REJECTION RULE FOR BOTH TESTS.
One Hypothesis test is an F test for the equality of the variances of travel Times and the second test is a T test for the equality of the means of travel times in minutes. The F test must be performed first in order to select either Case1 or Case 2 for the T-test. PLEASE SHOW HOW YOU OBTAINED ALL ANSWERS
Recorded Time values in minutes from point A to point B: 32, 34, 51, 30, 29, 35, 36, 29, 32, 29, 33, 32, 29, 30, 33, 30, 30, 33, 30, 31, 35, 35, 34, 32, 33, 33, 31, 33, 34, 30, 30, 29, 34, 32, 36, 29, 30, 32, 30, 33, 31
Recorded Time values in minutes from point B to point A: 36, 28, 48, 28, 27, 54, 34, 29, 26, 34, 33, 42, 29, 34, 31, 48, 27, 42, 28, 45, 26, 43, 32, 41, 30, 36, 27, 44, 29, 29, 35, 26, 31, 28, 27, 28, 32, 41, 34, 28, 31
In: Math
For a sample of 10 individuals, a researcher calculates residuals for the relationship between “number of delinquent friends” and “number of prior arrests” and finds that the positive residuals = 125. The researcher then collects a second sample of 10 individuals and calculates the residuals on the same two variables and discovers the sum of the positive residuals = 75. What can you conclude about the strength of the relationship between “number of delinquent peers” and “number of prior arrests” across these two random samples? How are they similar/different?
In: Math