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
Assume that 80% of people are left-handed. If we select 5 people at random, find the probability of each outcome described below, rounded to four decimal places:
a. There are some lefties (≥ 1) among the 5 people.
b. There are exactly 3 lefties in the group.
c. There are at least 4 lefties in the group.
d. There are no more than 2 lefties in the group
. e. How many lefties do you expect?
f. With what standard deviation?
In: Math
1. Major television networks have never seemed to have issues showing commercials for beer and other alcoholic beverages. Even though adult viewers tend to enjoy the commercials, most adults seem to think that the commercials target teenagers and young adults (those under 21 years old). To study this belief, the networks conducted a joint poll of viewers and asked them if they felt that beer and other alcoholic beverage commercials targeted teenagers and young adults. The results of the survey are as follows
Network Advertising Survey
|
a. Are the sample sizes large enough such that inferences about the differences between two population proportion can be made? If so, calculate a 99% confidence interval for the difference in the proportions of those older than 30 and those 30 or younger that believe alcoholic beverage commercials targeted teenagers and young adults. Interpret the interval.
b. Based on the data, can the networks conclude that the percentage of viewers who believe beer and alcoholic beverage commercials target teenagers and young adults is significantly higher in the over 30 age group than in the 30 or younger age group? Construct the 10 steps of hypothesis testing using α = 0.01 to answer the question.
Step 1 (Define the hypotheses to be tested in plain English)
Step 2 (Select the appropriate statistical
measure, such as the population mean, proportion, or
variance.)
Step 3 (Determine whether the alternative hypothesis should be one-sided or two-sided.)
Step 4 (State the hypotheses using the statistical measure found in Step 2)
Step 5 (Specify α, the level of the test.)
Step 6 (Select the appropriate test statistic
based on the information at hand and the
assumptions you willing to make.)
Step 7 (Determine the critical value of the test statistic.)
Step 8 (Collect sample data and compute the value of the test statistic.)
Step 9 (Make the decision.)
Step 10 (State the conclusion in terms of the original question.)
In: Math
For a study, 375 patients were randomly assigned tor eceive a daily dose of levvofloxacin, and 363 were given placebo. In the group receiving treatment, fever was present in 243 patients for the duration of neutroenia, whereas feverw as experienced by 308 patients in the placebo group. Using this information, determine whether or not the proportion of patients with fever differed between the two groups at the 1% level of significance. State the null and alternative hypothesis, manually calculate the test statistic and determine its p-value. Then state your decision and conclusion.
In: Math
A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within 4 points with 99 % confidence assuming s equals 13.9 based on earlier studies? Suppose the doctor would be content with 90 % confidence. How does the decrease in confidence affect the sample size required? A 99% confidence level requires nothing subjects. (Round up to the nearest subject.) A 90 % confidence level requires nothing subjects. (Round up to the nearest subject.)
99 % confidence is
90 confidence is
How does the decrease in confidence affect the sample size required?
A. Decreasing the confidence level increases the sample size needed.
B. Decreasing the confidence level decreases the sample size needed.
C. The sample size is the same for all levels of confidence.
In: Math