The average final exam score for the statistics course is 78%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 11 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 81, 61, 81, 91, 84, 56, 64, 74, 79, 63, 82 What can be concluded at the the α α = 0.10 level of significance level of significance? For this study, we should use The null and alternative hypotheses would be: H 0 : H 0 : H 1 : H 1 : The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is α α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest that the population mean final exam score for students who are given colored pens at the beginning of class is not significantly different from 78 at α α = 0.10, so there is statistically insignificant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is different from 78. The data suggest the population mean is not significantly different from 78 at α α = 0.10, so there is statistically insignificant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is equal to 78. The data suggest the populaton mean is significantly different from 78 at α α = 0.10, so there is statistically significant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is different from 78.
In: Math
According to a daily newspaper, the probability is about 0.74 that the favorite in a horse race will finish in the money (first, second, or third place). Complete parts (a) through (j) below.
a. In the next five races, what is the probability that the favorite finishes in the money exactly twice? The probability that the favorite finishes in the money exactly twice is 0.096.
b. In the next five races, what is the probability that the favorite finishes in the money exactly four times? The probability that the favorite finishes in the money exactly four times is 0.390.
c. In the next five races, what is the probability that the favorite finishes in the money at least four times? The probability that the favorite finishes in the money at least four times is 0.611.
d. In the next five races, what is the probability that the favorite finishes in the money between two and four times, inclusive?
The probability that the favorite finishes in the money between two and four times, inclusive, is ____.
(Round to three decimal places as needed.)
In: Math
A department store supervisor is concerned about customer
service. To check if this is an issue, the supervisor randomly
selected a sample of clerks from stores at three different
locations (A, B, C). Then the supervisor records the number of
returns associated with each clerk for a month. What can the
supervisor conclude with an α of 0.05?
| A | B | C |
| 8 10 7 9 |
11 12 14 10 |
8 10 7 10 |
Conduct Tukey's Post Hoc Test for the following
comparisons:
1 vs. 3: difference =
f) Conduct Scheffe's Post Hoc Test for the
following comparisons:
1 vs. 2: test statistic =
1 vs. 3: test statistic =
In: Math
1. What is the 95% CI for the difference between the mean starting salaries of those who stay at least three years and those who leave before 3 years? Can you say that you are 95% sure there is a difference?
| Case Study: Employee Retention at D&Y | ||||||
| Employee | Starting Salary | On Road Pct | State Univ | CIS Degree | Stayed 3 Years | Tenure |
| 1 | 38900 | 57% | Yes | Yes | No | 11 |
| 2 | 42300 | 68% | Yes | Yes | No | 5 |
| 3 | 39800 | 75% | No | Yes | No | 21 |
| 4 | 35700 | 29% | No | Yes | Yes | |
| 5 | 40400 | 71% | No | Yes | No | 19 |
| 6 | 36400 | 62% | No | Yes | No | 18 |
| 7 | 37300 | 41% | Yes | No | Yes | |
| 8 | 36600 | 37% | No | Yes | No | 17 |
| 9 | 34600 | 65% | No | Yes | No | 20 |
| 10 | 42300 | 53% | Yes | Yes | No | 16 |
| 11 | 37800 | 73% | No | Yes | Yes | |
| 12 | 39700 | 60% | No | Yes | No | 12 |
| 13 | 36100 | 56% | Yes | Yes | Yes | |
| 14 | 36100 | 42% | Yes | Yes | Yes | |
| 15 | 33800 | 35% | No | Yes | Yes | |
| 16 | 38900 | 36% | No | Yes | Yes | |
| 17 | 35500 | 50% | No | Yes | No | 15 |
| 18 | 37600 | 58% | No | Yes | Yes | |
| 19 | 38100 | 78% | Yes | Yes | Yes | |
| 20 | 38300 | 16% | No | No | Yes | |
| 21 | 34600 | 29% | No | Yes | Yes | |
| 22 | 36300 | 26% | No | Yes | Yes | |
| 23 | 37200 | 59% | Yes | Yes | No | 14 |
| 24 | 37700 | 55% | Yes | Yes | Yes | |
| 25 | 36600 | 45% | No | Yes | No | 13 |
| 26 | 41000 | 81% | Yes | Yes | No | 9 |
| 27 | 40800 | 111% | Yes | Yes | No | 7 |
| 28 | 36700 | 56% | Yes | Yes | Yes | |
| 29 | 37700 | 56% | No | Yes | No | 22 |
| 30 | 37700 | 42% | No | Yes | No | 11 |
| 31 | 39300 | 69% | Yes | Yes | No | 16 |
| 32 | 37500 | 50% | No | Yes | No | 18 |
| 33 | 40000 | 69% | Yes | Yes | No | 9 |
| 34 | 41500 | 64% | Yes | No | No | 5 |
| 35 | 39600 | 72% | No | Yes | No | 18 |
| 36 | 36900 | 42% | No | Yes | Yes | |
| 37 | 39500 | 62% | No | Yes | No | 5 |
| 38 | 37800 | 20% | No | Yes | No | 23 |
| 39 | 38600 | 57% | No | Yes | No | 8 |
| 40 | 40600 | 70% | Yes | Yes | Yes | |
| 41 | 41600 | 63% | Yes | Yes | Yes | |
| 42 | 40800 | 44% | No | No | Yes | |
| 43 | 36200 | 68% | No | Yes | No | 31 |
| 44 | 39600 | 59% | No | Yes | No | 10 |
| 45 | 36100 | 56% | Yes | Yes | Yes | |
| 46 | 36100 | 42% | No | Yes | Yes | |
| 47 | 39500 | 53% | Yes | Yes | No | 17 |
| 48 | 39100 | 38% | No | Yes | Yes | |
| 49 | 40300 | 53% | Yes | Yes | Yes | |
| 50 | 38800 | 78% | Yes | Yes | Yes | |
| 51 | 39400 | 34% | Yes | Yes | No | 27 |
| 52 | 38400 | 23% | No | Yes | Yes | |
| 53 | 35200 | 33% | No | Yes | Yes | |
| 54 | 36100 | 24% | No | No | Yes | |
| 55 | 37100 | 44% | No | Yes | Yes | |
| 56 | 37200 | 64% | Yes | Yes | No | 23 |
| 57 | 36800 | 46% | Yes | No | Yes | |
| 58 | 36500 | 27% | No | No | Yes | |
| 59 | 35900 | 29% | No | No | Yes | |
| 60 | 37900 | 76% | Yes | Yes | No | 14 |
| 61 | 37900 | 58% | No | Yes | No | 26 |
| 62 | 37900 | 28% | No | Yes | No | 14 |
| 63 | 36700 | 37% | No | Yes | Yes | |
| 64 | 37400 | 49% | No | Yes | No | 19 |
| 65 | 38200 | 62% | Yes | Yes | Yes | |
| 66 | 36600 | 51% | Yes | Yes | No | 7 |
In: Math
| group | hours |
| 1.00 | 44.00 |
| 1.00 | 40.00 |
| 1.00 | 44.00 |
| 1.00 | 39.00 |
| 1.00 | 25.00 |
| 1.00 | 37.00 |
| 1.00 | 31.00 |
| 1.00 | 40.00 |
| 1.00 | 22.00 |
| 1.00 | 34.00 |
| 1.00 | 39.00 |
| 1.00 | 20.00 |
| 1.00 | 39.00 |
| 1.00 | 42.00 |
| 1.00 | 41.00 |
| 2.00 | 36.00 |
| 2.00 | 40.00 |
| 2.00 | 37.00 |
| 2.00 | 35.00 |
| 2.00 | 39.00 |
| 2.00 | 40.00 |
| 2.00 | 36.00 |
| 2.00 | 38.00 |
| 2.00 | 24.00 |
| 2.00 | 27.00 |
| 2.00 | 29.00 |
| 2.00 | 24.00 |
| 2.00 | 45.00 |
| 2.00 | 44.00 |
| 2.00 | 44.00 |
| 3.00 | 52.00 |
| 3.00 | 50.00 |
| 3.00 | 51.00 |
| 3.00 | 52.00 |
| 3.00 | 45.00 |
| 3.00 | 49.00 |
| 3.00 | 47.00 |
| 3.00 | 46.00 |
| 3.00 | 47.00 |
| 3.00 | 47.00 |
| 3.00 | 46.00 |
| 3.00 | 45.00 |
| 3.00 | 50.00 |
| 3.00 | 47.00 |
| 3.00 | 49.00 |
The senior class at a charter school specializing in the physical sciences surveyed students in three specialization tracks; physics, chemistry and math.
Using the data provided above.
1. You perform a post hoc test (Bonferroni) and find that you do not have sufficient evidence to say that there is a statistical difference (alpha = 0.05) between the means of these two groups
a. Physics vs Math Students
b. Math vs Chemistry students
c. Chemistry vs Physics
d. None of the above
2. 2. The Value of the ANOVA statistic (F) is:
In: Math
A.)
A medical researcher is studying the effects of a drug on blood pressure. Subjects in the study have their blood pressure taken at the beginning of the study. After being on the medication for 4 weeks, their blood pressure is taken again. The change in blood pressure is recorded and used in doing the hypothesis test.
Change: Final Blood Pressure - Initial Blood Pressure
The researcher wants to know if there is evidence that the drug increases blood pressure. At the end of 4 weeks, 36 subjects in the study had an average change in blood pressure of 2.4 with a standard deviation of 4.5.
Find the p-value for the hypothesis test. ___________
Your answer should be rounded to 4 decimal places.
B.)
Find the p-value for the hypothesis test. A random sample of size 54 is taken. The sample has a mean of 426 and a standard deviation of 82.
H0: µ = 400
Ha: µ ≠ 400
The p-value for the hypothesis test is . ________________
Your answer should be rounded to 4 decimal places.
C.)
Child Health and Development Studies (CHDS) has been collecting data about expectant mothers in Oakland, CA since 1959. One of the measurements taken by CHDS is the weight increase (in pounds) for expectant mothers in the second trimester.
In a fictitious study, suppose that CHDS finds the average weight increase in the second trimester is 14 pounds. Suppose also that, in 2015, a random sample of 43 expectant mothers have mean weight increase of 16.2 pounds in the second trimester, with a standard deviation of 5.7 pounds.
A hypothesis test is done to see if there is evidence that weight increase in the second trimester is greater than 14 pounds.
Find the p-value for the hypothesis test. _____________________
The p-value should be rounded to 4 decimal places.
I need to know how to do these with excel but regular way works too if its too much.
In: Math
| group | hours |
| 1.00 | 44.00 |
| 1.00 | 40.00 |
| 1.00 | 44.00 |
| 1.00 | 39.00 |
| 1.00 | 25.00 |
| 1.00 | 37.00 |
| 1.00 | 31.00 |
| 1.00 | 40.00 |
| 1.00 | 22.00 |
| 1.00 | 34.00 |
| 1.00 | 39.00 |
| 1.00 | 20.00 |
| 1.00 | 39.00 |
| 1.00 | 42.00 |
| 1.00 | 41.00 |
| 2.00 | 36.00 |
| 2.00 | 40.00 |
| 2.00 | 37.00 |
| 2.00 | 35.00 |
| 2.00 | 39.00 |
| 2.00 | 40.00 |
| 2.00 | 36.00 |
| 2.00 | 38.00 |
| 2.00 | 24.00 |
| 2.00 | 27.00 |
| 2.00 | 29.00 |
| 2.00 | 24.00 |
| 2.00 | 45.00 |
| 2.00 | 44.00 |
| 2.00 | 44.00 |
| 3.00 | 52.00 |
| 3.00 | 50.00 |
| 3.00 | 51.00 |
| 3.00 | 52.00 |
| 3.00 | 45.00 |
| 3.00 | 49.00 |
| 3.00 | 47.00 |
| 3.00 | 46.00 |
| 3.00 | 47.00 |
| 3.00 | 47.00 |
| 3.00 | 46.00 |
| 3.00 | 45.00 |
| 3.00 | 50.00 |
| 3.00 | 47.00 |
| 3.00 | 49.00 |
The senior class at a charter school specializing in the physical sciences surveyed students in three specialization tracks; physics, chemistry and math.
Using the data provided above. Provide the answers to the following questions starting with:
The null hypothesis for this study is u physics = u chemistry = u math
1. The alternate hypothesis is:
a. u physics =/= u math =/= u chemistry
b. All of the means are different
c. At least 2 of the means are different
d. At least two of the means are the same
2. The Value of the ANOVA statistic (F) is:
3. The probability that we would get this large a value for ANOVA is (p value):
4. Based on this result we would draw which conclusion
a. Reject the null hypothesis and accept the alternative hypothesis that at least two of the population means are different
b. Reject the null hypothesis and accept the alternative hypothesis that at least two of the sample means are different
c. Reject the null hypothesis and accept the alternative hypothesis that all of the population means are different
d. Fail to Reject the null hypothesis
In: Math
Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n equals 1082n=1082 and x equals 502x=502 who said "yes." Use a 99 %99% confidence level
In: Math
What are the assumptions of regression? How does a correlation compare to regression model with only one predictor? (8 points)
In: Math
Consider the experiment of tossing two dice. Your random variable is D, the square of difference of the numbers showing on the faces of the two dice.
Show its probability distribution in the form of a table.
Find the mean, median and mode of the distribution.
Find the variance of D.
What type of skewness does the probability distribution represent?
Is the Chebychev inequality satisfied for c=1 and c=2? Show the calculations.
In: Math
According to Harper's Index, 50% of all federal inmates are serving time for drug dealing. A random sample of 15 federal inmates is selected.
(a) What is the probability that 10 or more are serving time for
drug dealing? (Round your answer to three decimal places.)
(b) What is the probability that 6 or fewer are serving time for
drug dealing? (Round your answer to three decimal places.)
(c) What is the expected number of inmates serving time for drug
dealing? (Round your answer to one decimal place.)
In: Math
Each value represents the number of mistakes (defects) found on a student loan application. Values for 50 consecutive loan applications are given. Calculate the appropriate centerline and 3-sigma control limits for the c-chart, and then plot the data and create a control chart. Does the process appear to be in a state of statistical control? Why or why not?
Upper control limit (UCL) =
Centerline (CL) =
Lower control limit (LCL) =
Process in statistical control?
| Acme Company - Daily Output | |||
| Day | June | July | August |
| 1 | 7940 | 7809 | 7401 |
| 2 | 7952 | 7747 | 7344 |
| 3 | 7870 | 7869 | 7490 |
| 4 | 7985 | 7784 | 7488 |
| 5 | 8015 | 7822 | 7685 |
| 6 | 8038 | 7839 | 7466 |
| 7 | 8027 | 7839 | 7511 |
| 8 | 7990 | 7845 | 7491 |
| 9 | 7928 | 7872 | 7353 |
| 10 | 7972 | 7725 | 7521 |
| 11 | 7981 | 7819 | 7376 |
| 12 | 7909 | 7852 | 7633 |
| 13 | 8038 | 7805 | 9542 |
| 14 | 7972 | 7820 | 7562 |
| 15 | 8041 | 7773 | 7455 |
| 16 | 7984 | 7837 | 7686 |
| 17 | 7978 | 7747 | 7477 |
| 18 | 7833 | 7776 | 7482 |
| 19 | 8043 | 7749 | 7603 |
| 20 | 7972 | 7823 | 7671 |
| 21 | 7901 | 7806 | 7535 |
| 22 | 7993 | 7747 | 7360 |
| 23 | 8014 | 7785 | 7519 |
| 24 | 7929 | 7778 | 7507 |
| 25 | 7922 | 7802 | 7597 |
| 26 | 8025 | 7732 | 7487 |
| 27 | 7983 | 7849 | 7452 |
| 28 | 7932 | 7909 | 7407 |
| 29 | 8069 | 7875 | 7407 |
| 30 | 7923 | 7734 | 7434 |
| 31 | 7563 | 7684 | |
In: Math
An inspector inspects large truckloads of potatoes to determine the proportion p in the shipment with major defects prior to using the potatoes to make potato chips. Unless there is clear evidence that this proportion, p, is less than 0.10, he will reject the shipment. He will test the hypotheses H 0 : p = 0.10 , H a : p < 0.10 . He selects an SRS of 100 potatoes from the over 2000 potatoes on the truck. Suppose that 6 of the potatoes sampled are found to have major defects. Which of the following is true? Strictly speaking, the inspector should take a larger sample in order to more safely apply the large sample significance test for proportion. The inspector might reach the wrong conclusion about the lot of potatoes, whether he returns the shipment or not. The inspector will decide to reject the shipment because there's weak evidence that the proportion of potatoes with serious defects is less than 0.10. All of the above statements are true.
In: Math
Arbitron Media Research Inc. conducted a study of the iPod listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for a sample of 8 men was 34 minutes per day. The standard deviation was 19 minutes per day. The mean listening time for a sample of 10 women was also 34 minutes, but the standard deviation of the sample was 7 minutes. Use a two-tailed test and at 0.02 significance level, can we conclude that there is a difference in the variation in the listening times for men and women? (Round your answer to 3 decimal places.) The test statistic is . Decision: H0:σ21=σ22.
In: Math
|
In EXCEL: The motion picture industry is a competitive business. More than 60 studios produce |
||||||||
| a total of 300 to 400 new motion pictures each year, and the financial success of | ||||||||
| each motion picture varies considerably. The opening weekend gross sales ($ millions) | ||||||||
| are often used to predict the success of a motion picture. Data collected for a | ||||||||
| sample of 30 motion pictures is shown below. | ||||||||
| Round and label your answers properly! | ||||||||
| Opening Weekend Gross Sales ($ millions) | Total Gross Sales ($ millions) | |||||||
| 29.16 | 67.25 | |||||||
| 2.14 | 7.64 | |||||||
| 48.74 | 205.27 | |||||||
| 10.90 | 24.47 | |||||||
| 0.05 | 0.22 | |||||||
| 12.40 | 102.00 | |||||||
| 102.69 | 287.18 | |||||||
| 44.11 | 282.88 | |||||||
| 24.11 | 125.88 | |||||||
| 50.34 | 186.21 | |||||||
| 23.45 | 55.80 | |||||||
| 0.32 | 30.00 | |||||||
| 64.63 | 89.68 | |||||||
| 14.00 | 29.00 | |||||||
| 20.02 | 30.04 | |||||||
| 5.26 | 17.08 | |||||||
| 67.42 | 94.61 | |||||||
| 77.06 | 234.20 | |||||||
| 0.02 | 0.41 | |||||||
| 5.62 | 11.01 | |||||||
| 0.20 | 0.24 | |||||||
| 93.50 | 164.61 | |||||||
| 18.07 | 32.04 | |||||||
| 0.16 | 0.16 | |||||||
| 0.06 | 0.84 | |||||||
| 0.08 | 1.22 | |||||||
| 0.02 | 0.48 | |||||||
| 29.63 | 47.31 | |||||||
| 0.05 | 4.36 | |||||||
|
0.25 1. Describe the Total Gross Sales data in appropriate language (4 pt) |
11.23 |
|||||||
|
2. Draw an appropriate chart showing the distribution of the Total Gross Sales data. (4 pt) |
||||||||
| 3.(a) Show the relationship between these two variables with an | ||||||||
| appropriate chart. (2 pt) | ||||||||
| (b) Develop a linear regression equation to predict the total | ||||||||
| gross sales using the opening weekend gross sales. (1 pt) | ||||||||
| (c) Estimate the total gross sales if the opening weekend | ||||||||
| gross sales is $56 million. (1 pt) | ||||||||
| (d) How much of the variability in total gross sales is | ||||||||
| explained by the opening weekend gross sales? (1 pt) | ||||||||
| (e) According to your regression equation, if opening weekend gross sales are zero, | ||||||||
| what will the total gross sales be? (1 pt) | ||||||||
| (f) According to your regression equation, for every million dollar increase in opening weekend | ||||||||
| gross sales, the total gross sales (increases / does not change / decreases) by | ||||||||
| _________ (2 pts) (Fill in the blank with a number.) | ||||||||
| (g) Are the total gross sales statistically related to the opening weekend gross sales? Test at the | ||||||||
| .05 level of significance: | ||||||||
| State H0 and H1. (1 pt) | ||||||||
| What is your pvalue? (1 pt) | ||||||||
In: Math