In: Math
Bobby rolls 2 fair 6-sided dice and considers it a "success" if the sum of the die results is 5 or 6. He performs 4 trials.
Martha tosses 2 fair coins and considers it a "success" if both coins land on "heads." She performs 3 trials.
Heather rolls 1 fair 4-sided die and considers it a "success" if he rolls a "1." He performs 5 trials.
What is the probability that exactly 2 success occur in all of the combined trials above?
In: Math
Please walk me through SPSS setup for this and complete the following, NOT just answer it, but show me how you did it on SPSS
Consider the data below of inches of rainfall per month for three different regions in the Northwestern United States: Please use SPSS and complete the following:
Plains Mountains. Forest
April 25.2. 13.0 9.7
May 17.1 18.1 16.5
June 18.9. 15.7. 18.1
July 17.3 11.3 13.0
August 16.5 14.0 15.4
Using SPSS, perform an ANOVA test for the hypothesis that there is not the same amount of rainfall in every region in the Northwestern United States with a significance level of 0.02. What are the two degrees of freedom of your test statistic?
In: Math
Given the following five pairs of (x, y)
values,
|
| (a) | Determine the least squares regression line. (Be sure to save your unrounded values of b0 and b1 for use in Problem #6 below.) |
| (b) | Draw the least squares regression line accurately on a
scatterplot. Then look to see which (x, y) pairs
are above the regression line. Then add up the
y-values for all of the (x, y) pairs
that fall above the regression line. For example, if you draw your least squares regression line accurately on a scatterplot, and you find that the first two (x, y) pairs [i.e., (1, 10) and (3, 7)] are above the regression line, then since the sum of the two corresponding y-values is 10 + 7 = 17, you would enter 17 into the answer box. |
(c) Calculate the residuals. (d) Calculate the residual sum of squares SS(error). (e) Find the value of the test statistic for testing the hypothesis H0 : ρ = 0 H1 : ρ ≠ 0 (f) Find the 10% critical value for the hypothesis test in (e)
In: Math
| The null and alternate hypotheses are: |
| H0: μ1 ≤ μ2 |
| H1: μ1 > μ2 |
|
A random sample of 26 items from the first population showed a mean of 114 and a standard deviation of 9. A sample of 15 items for the second population showed a mean of 99 and a standard deviation of 7. Assume the sample populations do not have equal standard deviations. |
| a. |
Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.) |
| Degrees of freedom |
| b. | State the decision rule for 0.025 significance level. (Round your answer to 3 decimal places.) |
| Reject H0 if t> |
| c. | Compute the value of the test statistic. (Round your answer to 3 decimal places.) |
| Value of the test statistic |
| d. | What is your decision regarding the null hypothesis? Use the 0.025 significance level. |
| Null hypothesis | (Click to select)not rejectedrejected |
In: Math
Samples of computers are taken from two county library locations and the number of internet tracking spyware programs is counted. The first location hosted 21 computers with a mean of 4.1 tracking programs and a standard deviation of 0.8. The second location hosted 19 computers with a mean of 6.2 tracking programs and a standard deviation of 1.2.
a) Please calculate the appropriate standard error statistic for the scenario provided.
b)Please calculate a confidence interval around your point estimates as appropriate for the scenario. Use a confidence limit of 99% (.01)
c) Please calculate a confidence interval around your point estimates as appropriate for the scenario. Use a confidence limit of 95%.
d) How do your confidence intervals compare? Is this what you expected to see? Why?
In: Math
Directions: Show ALL work! Please round any answer to the nearest hundredth, unless you can get an exact amount. If an answer asks to explain, please make sure to give a valid and complete explanation. For your hypothesis tests, make sure you give a complete interpretation.
2. In a survey of 500 randomly selected U.S. teens, it was found that 37% of them have been in the car while a person under the influence is driving.
a) Construct a 90% confidence interval for the population
proportion of U.S. teens who have been in the car while a person
under the influence is driving.
b) Using the information from part a, determine the minimum sample size required to be 95% confident that the estimate is accurate within 3% of the population proportion.
In: Math
Do male and female students study the same amount per week? In 2007, 58 sophomore business students were surveyed at a large university that has more than 1,000 sophomore business students each year. The table beloe has the gender and hours spent studying in a typical week for the sampled students.
a. At the 0.05 significance level, is there a difference in the variance of study time for male students and female students? (1 point)
b. Using the results of part (a), which t-test is appropriate for comparing the mean study time for male and female students? (1 point)
c. At the 0.05 significance level, conduct the test selected in part (b) (1 point)
d. Write a short summary of your findings (1 point)
|
Gender |
Study |
|
M |
10.0 |
|
F |
18.0 |
|
M |
5.5 |
|
F |
20.0 |
|
F |
10.0 |
|
F |
18.0 |
|
F |
8.0 |
|
M |
6.0 |
|
F |
25.0 |
|
F |
22.5 |
|
M |
14.0 |
|
M |
10.0 |
|
F |
30.0 |
|
M |
6.0 |
|
F |
20.0 |
|
M |
12.0 |
|
M |
21.0 |
|
M |
15.0 |
|
M |
12.0 |
|
M |
10.0 |
|
M |
8.5 |
|
M |
25.0 |
|
F |
24.0 |
|
M |
10.0 |
|
M |
20.0 |
|
M |
8.0 |
|
M |
8.0 |
|
M |
12.0 |
|
M |
6.0 |
|
M |
6.0 |
|
M |
7.0 |
|
F |
15.0 |
|
M |
10.0 |
|
M |
10.0 |
|
F |
15.0 |
|
F |
10.0 |
|
F |
14.0 |
|
F |
15.0 |
|
F |
12.0 |
|
M |
9.0 |
|
F |
11.0 |
|
M |
10.0 |
|
M |
30.0 |
|
M |
10.0 |
|
F |
12.0 |
|
M |
10.0 |
|
M |
5.0 |
|
F |
15.0 |
|
M |
5.0 |
|
M |
10.0 |
|
M |
11.0 |
|
M |
15.0 |
|
M |
15.0 |
|
M |
7.0 |
|
M |
8.0 |
|
M |
12.0 |
|
M |
10.0 |
|
F |
18.0 |
In: Math
Part 2: For each hypothesis question (6 - 8): (a) state the
claim mathematically, (b) identify the null and
alternate hypotheses, (c) determine the type of test to be used,
(d) calculate the test statistic, (e) use
either the p-value or critical region method to test the claim, (f)
determine whether to reject or fail to
reject the Null Hypothesis, (g) state your conclusion.
6. Fandango claim’s that the average cost of a movie ticket is
at least $8.75 for an adult, with a known variance of $0.25. To
test this claim, a random sample of 75 tickets had a mean of $8.06.
There is no reason to think the variance is any different in the
sample. Based upon this information, can we reject Fandango’s claim
at the 5% level of significance?
In: Math
The results of inspection of samples of a product taken over the past 5 days are given below. Sample size for each day has been 100:
| Day | 1 | 2 | 3 | 4 | 5 |
| Defectives | 2 | 6 | 14 | 3 | 7 |
Find the center line (CL).
| a. |
6.4 |
|
| b. |
0.32 |
|
| c. |
3.2 |
|
| d. |
0.064 |
We are interested in studying the linear relationship between someone's age and how much they spend on travel. The following data is provided:
| Amount Spent on Travel | Age |
| 850 | 39 |
| 997 | 43 |
| 993 | 50 |
| 649 | 59 |
| 1265 | 25 |
| 680 | 38 |
Find MSE (s-squared/ s^2).
| a. |
111147.28 |
|
| b. |
38461.01 |
|
| c. |
196.11 |
|
| d. |
667.33 |
In: Math
A student at a university has been doing a project to investigate entertainment habits of students. They have surveyed 100 random students who were each asked three questions:
However, the student keeps a very messy room and has lost some of the results. They have been able to find the following results:
Of all the students surveyed, 46 had watched a movie, 36 had listened to music and 41 had read a book in the last week. Also:
Find the missing information and answer the following questions regarding the group surveyed. Give your answers as whole numbers.
Calculate the number of students that:
a)answered yes to question 3 only =
b)answered yes to exactly two questions =
c)had watched a movie or listened to music but had not read a book =
In: Math
which statistical analysis to use for a survey on a group of 6 people of 3 questions with four choices each strongly positive, positive, neutral and not positive and show an example
In: Math
: An observational study is conducted to investigate the association between age and total serum cholesterol. The correlation is estimated at r = 0.35. The study involves n=125 participants and the mean (std dev) age is 44.3 (10.0) years with an age range of 35 to 55 years, and mean (std dev) total cholesterol is 202.8 (38.4).
a. Estimate the equation of the line that best describes the association between age (as the independent variable) and total serum cholesterol.
b. Estimate the total serum cholesterol for a 50-year old person.
c. Estimate the total serum cholesterol for a 70-year old person.
d. For part c, why or why not might this estimate be appropriate?
In: Math
1. Weakly earnings on a certain import venture are approximately normally distributed with a known mean of $487 and unknown standard deviation. If the proportion of earnings over $517 is 27%, find the standard deviation. Answer only up to two digits after decimal.
2.X is a normal random variable with mean μ and standard deviation σ. Then P( μ− 1.4 σ ≤ X ≤ μ+ 2.2 σ) =? Answer to 4 decimal places.
3.Suppose X is a Binomial random variable with n = 32 and p = 0.41.
Use binomial distribution to find the exact value of P(X < 11). [Answer to 4 decimal places]
| 错误. | Tries 1/5 | 以前的尝试 |
What are the appropriate values of mean and standard deviation
of the normal distribution used to approximate the binomial
probability?
μ = 13.12, and σ = 0.087.
μ = 13.12, and σ = 2.782.
μ = 13.12, and σ = 7.741.
μ = 32, and σ = 0.41.
| Tries 0/3 |
Using normal approximation, compute the approximate value of P(X < 11). [Answer to 4 decimal places]
| Tries 0/5 |
Is the n sufficiently large for normal
approximation?
Yes, because n is at least 30.
No, because μ±3σ, is contained in the interval (0, 32).
Yes, because μ±3σ, is inside the interval (0, 32).
No, because np < 15
4. Usually about 65% of the patrons of a restaurant order burgers. A restaurateur anticipates serving about 155 people on Friday. Let X be the numbers of burgers ordered on Friday. Then X is binomially distributed with parameters n = 155 and p = 0.65.
What is the expected number of burgers (μX) ordered on Friday? [Answer up to 2 digits after decimal]
| Tries 0/5 |
Find the standard deviation of X (σX)? [Answer up to 3 digits after decimal]
| Tries 0/5 |
If the restaurant ordered meats to prepare about 109 burgers for Friday evening. Use normal approximation of binomial distribution to find the probability that on Friday evening some orders for burgers from the patron cannot be met. [Answer up to 4 digits after decimal]
| Tries 0/5 |
How many burgers the restaurant should prepare beforehand so that the chance that an order of burger cannot be fulfilled is at most 0.05? i.e. Find a such that P(X > a) = 0.05 using normal approximation of binomial distribution.
In: Math
Problem 8: The Framingham Heart Study was a longitudinal cohort study of 5000+ men and women. One outcome of interest was fasting glucose levels. Glucose levels were categorized into three different categories:
Glucose Levels
-Diabetes (glucose >126),
-Impaired Fasting Glucose (glucose 100-125),
-Normal Glucose
Several possible risk factors were also recorded:
Risk Factors
-Sex
-Age
-BMI (normal weight, overweight, obese)
-Genetics
To determine if each possible risk factor is related to glucose levels,researchers need to use an appropriate hypothesis test.
Test Choices
1. ANOVA
2. Chi-Square GOF
3. Chi-Square test for independence
4. Test for equality of means
5. Test for equality of proportions
6. Other
a. What test would be used to assess whether the different sexes(male and female) have the same proportions of the different glucose levels?
b. What test would be used to assess whether the different glucose levels have the same mean age?
c. What test would be used to assess whether the different categories of BMI have the same proportions of the different glucose levels?
In: Math