In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. The researchers randomly selected 21 adolescents with
PLEASE ONLY HOW TO SOLVE USING TI83 PLEASE!!!!!
alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cm cubed. An analysis of the sample data revealed that the hippocampal volume is approximately normal with x overbarequals8.06 cm cubed and s equals0.7 cm cubed. Conduct the appropriate test at the alphaequals0.01 level of significance.
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In: Statistics and Probability
A study that assessed the effectiveness of a new drug designed to reduce repetitive behaviors in children affected with autism was conducted. A total of 8 children with autism enrolled in the study and the amount of time that each child is engaged in repetitive behavior during three hour observation periods were measured both before treatment and then again after taking the new medication for a period of 1 week. The data is provided in the Excel spreadsheet. Using Minitab or other statistical software: 1. Conduct a Wilcoxon Signed Rank test to determine whether or not the medicine was effective in decreasing the median amount of time the child engaged in repetitive behavior. Include relevant output from Minitab and use a significance level of α = 0.05. 2. This test was to determine whether or not the drug decreased the median time the child was engaged in repetitive behavior in order to assess the effectiveness of the medicine. Do you think that the use of the median was appropriate in this case for the sample data set or could you have used two-sample paired t-test for the difference in the means? Answer this question by preparing a box plot to determine if there are any outliers in the differences and assessing the normality of the data set with both a probability plot and histogram and explaining your conclusion. 3. Regardless of your answer in part 2, conduct a two-sample paired t-test for the mean and determine whether or not the medicine was effective in decreasing the median amount of time the child engaged in repetitive behavior. Include relevant output from Minitab and use a significance level of α = 0.05. Is your conclusion different than testing the median? Explain briefly any differences.
Child | Before Treatment | After 1 Week of Treatment |
1 | 85 | 75 |
2 | 70 | 50 |
3 | 40 | 50 |
4 | 65 | 40 |
5 | 80 | 20 |
6 | 75 | 65 |
7 | 55 | 40 |
8 | 20 | 25 |
In: Statistics and Probability
Recent studies of the private practices of physicians suggested that the median and mean length of each patient visit was 25 minutes. A random sample of 17 visits to physicians in a certain private practice produced the visit lengths provided in the Excel spreadsheet. A researcher wants to use this data to determine if the median visit length of patients in this certain private practice is less than the recent study’s suggested median of 25 minutes. Using Minitab or other statistical software: 1. Conduct a sign test to answer the researcher’s question. Include relevant output from Minitab and use a significance level of α = 0.05. 2. How would your conclusion have changed if you used a significance level of α = 0.10? What does this say about your conclusion reached in part 1? 3. This test was to determine whether or not the median visit time was less than the time in the study. Do you think that the use of the median was appropriate in this case for the sample data set or could you have used a z-test for the mean? Answer this question by preparing a box plot and assessing the normality of the data set and explaining your conclusion.
Length of Visit |
16.2 |
18.1 |
18.7 |
18.9 |
19.1 |
19.3 |
20.1 |
20.4 |
21.6 |
21.9 |
23.4 |
23.5 |
25.5 |
26.9 |
27.4 |
38.1 |
37.2 |
In: Statistics and Probability
A multiple regression equation of quality of life scale (0-100,
100 is best) associated with Age (year), Income (unit US $), CD4
count from 695 Africa HIV infected women is
The quality of life scale = 32.121 + 0.060 * Income + 0.017 * CD4
count - 0.045 * Age.
Based on this regression equation, please answer following
questions 15 to 29.
____________________________________________________________________
Given an Africa HIV infected woman with an income $200, CD4 250 and
age 40, the predicted quality of life scale is
Group of answer choices
32.121
46.571
34.571
Can not be determined
Flag this Question
Question 163.44 pts
Given an Africa HIV infected woman with an income $100 and CD4 200, the predicted quality of life scale is
Group of answer choices
32.121
46.571
34.571
Can not be determined
Flag this Question
Question 173.44 pts
In this multiple regression equation, the intercept is
Group of answer choices
32.121
46.571
34.571
Can not be determined
Flag this Question
Question 183.44 pts
Given an Africa HIV infected woman with no income, CD4 250 and age 40, the predicted quality of life scale is
Group of answer choices
32.121
46.571
34.571
Can not be determined
Flag this Question
Question 193.44 pts
In this multiple regression equation, the quality of life scale is
Group of answer choices
Independent variable
Dependent variable
Neither independent variable, nor dependent variable
Flag this Question
Question 203.44 pts
In this multiple regression equation, the income is
Group of answer choices
Independent variable
Dependent variable
Neither independent variable, nor dependent variable
Flag this Question
Question 213.44 pts
In this multiple regression equation, the CD4 count is
Group of answer choices
Independent variable
Dependent variable
Neither independent variable, nor dependent variable
Flag this Question
Question 223.44 pts
In this multiple regression equation, the age is
Group of answer choices
Independent variable
Dependent variable
Neither independent variable, nor dependent variable
Flag this Question
Question 233.44 pts
The difference of predicted quality of life scale between the woman with an income $200, CD4 250 and age 40 and the woman with no income, CD4 250 and age 40 is
Group of answer choices
0.450
12.000
1.7
6.000
Flag this Question
Question 243.44 pts
The difference of predicted quality of life scale between the woman with an income $200, CD4 250 and age 40 and the woman with an income $100, CD4 250 and age 40 is
Group of answer choices
0.450
12.000
1.7
6.000
Flag this Question
Question 253.44 pts
The difference of predicted quality of life scale between two women with same income and same CD4 count, but one age 30 and the other 40, is
Group of answer choices
0.450
12.000
1.7
6.000
Flag this Question
Question 263.44 pts
The difference of predicted quality of life scale between two women with same income and same age, but one CD4 count 200 and the other 100, is
Group of answer choices
0.450
12.000
1.7
6.000
Flag this Question
Question 273.44 pts
As income increases one dollar, the predicted quality of life scale increases
Group of answer choices
32.121
0.060
0.017
-0.045
Flag this Question
Question 283.44 pts
As CD4 count increases one count, the predicted quality of life scale increases
Group of answer choices
32.121
0.060
0.017
-0.045
Flag this Question
Question 293.44 pts
As age increases one year, the predicted quality of life scale increases
Group of answer choices
32.121
0.060
0.017
-0.045
In: Statistics and Probability
A description of workers. Each year, the Census Bureau selects a different and random sample of more than 3 million of households to be interviewed in American Community Survey (ACS). The dataset that have been assigned to you contains infor mation of a small random sample of workers of a particular state interviewed in the ACS 2016. I
Notes In your answers use up to one decimal place when the number is not an integer If the number is close to zero (i.e 0.0006) use up to four decimal places e Show your work to get full credit. When it corresponds, indicate what statistic unction of Excel you used to compute the estimate. Use the dataset that was assigned. If you use a different dataset, your homework will not be graded
(a) Describe the structure of the data set. In your answer include the population egorical (nominal/ordinal) or quantitative (discrete ,continuous), type of data (1.e., cross of interest, sample size, number of variables, type of variables (i.e. cat sectional, time series, or longitudinal data). (10 points)
(b) If each year the Census Bureau inter viewed the same sample of households, what would be the type of dataset generated by the ACS in this case? (3 pts). Explain.
(c) Use the earnings (WAGP) of the first ten workers to calculate the Σ and (-) (i.e. the sum of the squared deviations) of the workers earnings. Use to compute the sample mean and the sample standard deviation of these sums these workers' earnings. (10 pts)
In: Statistics and Probability
The HR Department of Vanderizing Bulb Company wanted to know if among its salaried employees there was a relationship between years of school and annual compensation. A random sample of employees yielded the following data:
Employee | Years of School | Compensation ($) |
1 | 20 | 69,582 |
2 | 15 | 55,433 |
3 | 13 | 64,678 |
4 | 14 | 74,465 |
5 | 17 | 70,159 |
6 | 16 | 62,487 |
7 | 17 | 69,763 |
8 | 18 | 71,125 |
9 | 20 | 64,350 |
10 | 14 | 53,290 |
a. Find the correlation coefficient for the relationship between Years of School and Compensation.
b. Find the best equation which should be used to predict compensation on the basis of years of schooling. Justify by a test of a hypothesis.
c. Maggie Radford has 15 years of schooling. What is her predicted salary if she works at Vanderizing?
In: Statistics and Probability
The Boston Bulb Company produces high-cost bulbs for expensive projection equipment. Johnson, the CEO, claims that a particular bulb type has an average life of at least 600 hours.
Fourteen of these bulbs were randomly selected and tested. The number of hours each bulb lasted was:
614,598,585,572,599,605,604,590,609,606,595,592,601,592
At the significance level, test Johnson's claim about the life of the bulbs.
In: Statistics and Probability
I was given a sample data set of systolic blood pressures and
was asked to 1.) calculate: the mean, median, standard deviation,
interquartile range and 2.) applied what I have learned in the
course to describe or comment on the systolic blood pressures
data.
minimum : 86.0
maximum : 267.0
mean: 140.2
median: 137.0
standard deviation: 22.92012
Q1: 123.0
Q3: 154.0
After calculating the IQR with lower limit of 76.5 and upper limit of 200.5, I stated that given the maximum value of systolic blood pressure of 267.0, there are outliers in this sample and because there are outliers, median and IQR should be used to summarize typical value and variability rather than the mean and standard deviation. Is my assessment correct? Additionally, how can I interpret the median value in this example and connect that to systolic blood pressures? Like, is it accurate to say that the average systolic blood pressure in this sample is 137 (which is the median value)?
In: Statistics and Probability
A restaurant has terrible on-line ratings. The manager tabulates the complaints mentioned in the reviews. These are the 10 complaints; create a Pareto analysis of the data using Minitab.
Complaint |
Count |
Parking Difficult |
49 |
Small Portions |
6 |
Wait time |
156 |
No Atmosphere |
3 |
Food is Cold |
9 |
Not Clean |
2 |
Unfriendly Staff |
46 |
Overpriced |
131 |
Too Noisy |
9 |
Limited Menu |
1 |
In: Statistics and Probability
Kevlar epoxy is a material used on the NASA space shuttles. Strands of this epoxy were tested at the 90% breaking strength. The following data represent time to failure (in hours) for a random sample of 50 epoxy strands. Let x be a random variable representing time to failure (in hours) at 90% breaking strength.
0.51 | 1.80 | 1.52 | 2.05 | 1.03 | 1.18 | 0.80 | 1.33 | 1.29 | 1.14 |
3.34 | 1.54 | 0.08 | 0.12 | 0.60 | 0.72 | 0.92 | 1.05 | 1.43 | 3.02 |
1.81 | 2.17 | 0.63 | 0.56 | 0.03 | 0.09 | 0.18 | 0.34 | 1.51 | 1.45 |
1.52 | 0.19 | 1.55 | 0.01 | 0.07 | 0.65 | 0.40 | 0.24 | 1.51 | 1.45 |
1.60 | 1.80 | 4.69 | 0.08 | 7.89 | 1.58 | 1.65 | 0.03 | 0.23 | 0.72 |
(a) Find the range.
( )
(b) Use a calculator to calculate Σx and
Σx2. (Round your answers to two decimal
places.)
Σx | = |
Σx2 | = |
(c) Use the results of part (b) to compute the sample mean,
variance, and standard deviation for the time to failure. (Round
your answers to two decimal places.)
x | = |
s2 | = |
s | = |
(d) Use the results of part (c) to compute the coefficient of
variation. (Round your answer to the nearest whole number.)
( ) %
What does this number say about time to failure?
1) The standard deviation of the time to failure is just slightly smaller than the average time.
2) The coefficient of variation says nothing about time to failure.
3) The standard deviation of the time to failure is just slightly larger than the average time.
4) The standard deviation is equal to the average.
Why does a small CV indicate more consistent data, whereas
a larger CV indicates less consistent data? Explain.
1) A small CV indicates more consistent data because the value of s in the numerator is smaller.
2) A small CV indicates more consistent data because the value of s in the numerator is larger.
In: Statistics and Probability
In: Statistics and Probability
Question 1
a) For the data in Homework 2, Question 1
Size (Xi) |
12 |
15 |
18 |
21 |
24 |
27 |
Price (Yi) |
60 |
85 |
75 |
105 |
120 |
110 |
a) calculate the ANOVA table. Use the ANOVA Table to conduct an F-Test to see if the model is significant (use α = 0.05)
b) Give a 95% confidence interval for the mean sale price for 2000 sq. ft. houses.
c) Give a 95% prediction interval for the sale price of an individual 2000 sq. ft. house.
d) For the data in Homework 2, Question 2 calculate the ANOVA table for the data. Use the ANOVA Table to conduct an F-Test to see if the model is significant (use α = 0.05) (data provided below)
dollars |
satisfaction |
11 |
6 |
18 |
8 |
17 |
10 |
15 |
4 |
9 |
9 |
5 |
6 |
12 |
3 |
19 |
5 |
22 |
2 |
25 |
10 |
Thank you so much! Just want to check my answers.
In: Statistics and Probability
College students were asked to rate the spring festivals at
university in years 2016, 2017, and 2018. The following table shows
the students’ ratings on a scale from 0 to 100 where larger values
are assigned to better activities. Construct an ANOVA table and
determine whether there is a significant difference among the student
appreciation of spring festivals for different years. Assume a
significance level of α = 0.05.
2016 | 2017 | 2018 |
72 | 93 | 87 |
58 | 70 | 70 |
71 | 76 | 90 |
56 | 69 | 85 |
45 | 86 | 76 |
73 | 65 | 94 |
68 | 70 | 85 |
In: Statistics and Probability
] The average cost per night of a hotel room in San Francisco is $550 with a standard deviation is $150 based on a sample of 50 hotel room rates. a) Clearly state what the random variable in this problem is? b) What is an appropriate distribution to be used for finding the confidence intervals for this problem and why? c) Construct a 99% confidence interval estimate on the mean of all hotel room rates. d) What is the 90% confidence interval estimate? e) What is the 95% confidence interval estimate?
In: Statistics and Probability
Suppose the following linear probability model
Y = 0.708 + 0.201M, n=1,989, R2=.049.
(0.018) (0.020)
Where y=1 if mortgage approved, M=1 if men, etc.
1. What is the probability of mortgage approval for a typical male
applicant?
2. What is the probability of mortgage approval for a typical
female applicant?
3. Is the discrimination based on gender significant?
4. What are the problems of this model?
5. What other variables do you think should be added in the model?
And if the variables were to be added, what happens to the
coefficient of M?
In: Statistics and Probability