The average number of cocktails that residents of my nursing home drink weekly is normally distributed with mean of 12 cocktails with a standard deviation of 3 cocktails. If you take several groups of 12 residents (residential wings) and get the average amount of drinks consumed weekly for these groups, what is the mean and standard deviation of this new distribution?
options:
mean = 144 SD = 36 ,mean = 12 SD = 3 ,mean = 144 SD = 10.39 ,mean = 12 SD = .87
In: Math
A researcher is studying the effects of inserting questions into
instructional material for learning. There is doubt whether these
questions would be more effective before or after the corresponding
passage. In addition, the researcher wants to know the impact of
factual and thought provoking questions. Students are randomly
assigned to one of each of the four combination: position of
question (before vs. after the passage) and type of question
(factual vs. thought provoking). After 10 hours of studying under
these conditions, the students are given a test on the content of
the instructional materials. The test scores are below. What can be
concluded with an α of 0.05?
Position
Type | before | after |
---|---|---|
factual | 21 31 32 25 28 19 |
29 24 33 26 25 30 |
thought | 27 20 15 21 26 24 |
36 39 41 29 29 35 |
a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way
ANOVA
b) Compute the appropriate test statistic(s) to
make a decision about H0.
Type: critical value = ; test statistic
=
Decision: ---Select--- Reject H0 Fail to reject H0
Position: critical value = ; test
statistic =
Decision: ---Select--- Reject H0 Fail to reject H0
Interaction: critical value = ; test
statistic =
Decision: ---Select--- Reject H0 Fail to reject H0
c) Compute the corresponding effect size(s) and
indicate magnitude(s).
Type: η2
= ; ---Select--- na trivial effect small
effect medium effect large effect
Position: η2
= ; ---Select--- na trivial effect small
effect medium effect large effect
Interaction: η2
= ; ---Select--- na trivial effect small
effect medium effect large effect
d) Make an interpretation based on the
results.
There is a question type difference in the test scores.There is no question type difference in the test scores.
There is a question position difference in the test scores.There is no question position difference in the test scores.
There is a question type by position interaction in the test scores.There is no question type by position interaction in the test scores.
In: Math
A group of biochemistry researchers developed a new medication
for treating depression. To assess if the new medication is
effective at treating depression, the researchers obtained a sample
of depressive patients from a local clinic. The patients were then
randomly assigned into taking the medication for a month or not. In
addition, the patients were also randomly assigned into receiving
psychotherapy for a month or not. At the end of the study, the
patients were asked to fill out a depression inventory in which a
higher score indicates more depression. The data are below. What
can be concluded with an α of 0.05?
Psychotherapy
Medication | no | yes |
---|---|---|
no | 10 11 9 13 |
12 10 13 8 |
yes | 11 13 8 9 |
4 13 4 6 |
Compute the corresponding effect size(s) and indicate
magnitude(s).
Medication: η2
= ; ---Select--- na trivial effect
small effect medium effect large effect
Psychotherapy: η2
= ; ---Select--- na trivial effect
small effect medium effect large effect
Interaction: η2
= ; ---Select--- na trivial effect
small effect medium effect large effect
In: Math
A social psychologist is interested in how optimism is related
to life satisfaction. A sample of individuals categorized as
optimistic were asked about past, present, and projected future
satisfaction with their lives. Higher scores on the life
satisfaction measure indicate more satisfaction. Below are the
data. What can the psychologist conclude with α = 0.05?
past | present | future |
---|---|---|
22 24 27 26 28 |
27 28 29 30 30 |
24 27 30 28 29 |
Compute the corresponding effect size(s) and indicate
magnitude(s).
η2 =
Conduct Tukey's Post Hoc Test for the following
comparisons:
1 vs. 3: difference =
2 vs. 3: difference =
f) Conduct Scheffe's Post Hoc Test for the
following comparisons:
1 vs. 2: test statistic =
2 vs. 3: test statistic =
In: Math
A researcher is studying the effects of inserting questions into
instructional material for learning. There is doubt whether these
questions would be more effective before or after the corresponding
passage. In addition, the researcher wants to know the impact of
factual and thought provoking questions. Students are randomly
assigned to one of each of the four combination: position of
question (before vs. after the passage) and type of question
(factual vs. thought provoking). After 10 hours of studying under
these conditions, the students are given a test on the content of
the instructional materials. The test scores are below. What can be
concluded with an α of 0.05?
Position
Type | before | after |
---|---|---|
factual | 21 31 32 25 28 19 |
29 24 33 26 25 30 |
thought | 27 20 15 21 26 24 |
36 39 41 29 29 35 |
a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way
ANOVA
b) Compute the appropriate test statistic(s) to
make a decision about H0.
Type: critical value = ; test statistic
=
Decision: ---Select--- Reject H0 Fail to reject H0
Position: critical value = ; test
statistic =
Decision: ---Select--- Reject H0 Fail to reject H0
Interaction: critical value = ; test
statistic =
Decision: ---Select--- Reject H0 Fail to reject H0
c) Compute the corresponding effect size(s) and
indicate magnitude(s).
Type: η2
= ; ---Select--- na trivial effect small
effect medium effect large effect
Position: η2
= ; ---Select--- na trivial effect small
effect medium effect large effect
Interaction: η2
= ; ---Select--- na trivial effect small
effect medium effect large effect
d) Make an interpretation based on the
results.
There is a question type difference in the test scores.There is no question type difference in the test scores.
There is a question position difference in the test scores.There is no question position difference in the test scores.
There is a question type by position interaction in the test scores.There is no question type by position interaction in the test scores.
In: Math
How does gender and occupational prestige affect credibility?
Graduate students in a public health program are asked to rate the
strength of a paper about the health risks of childhood obesity. In
reality, all student raters are given the same paper, but the name
and degree associated with the author are changed. The student
raters are randomly assigned to one group from the following name
("John Lake", "Joan Lake") and degree (M.D., R.N., Ph.D.)
combination. The raters score the paper from 1 to 5 on clarity,
strength of argument, and thoroughness. The total scores (the sum
of the three scores) are given in the table below. What can be
concluded with an α of 0.05?
John Lake / M.D. |
John Lake / R.N. |
John Lake / Ph.D. |
Joan Lake / M.D. |
Joan Lake / R.N. |
Joan Lake / Ph.D. |
---|---|---|---|---|---|
12 15 13 15 14 |
15 16 12 13 13 |
11 8 13 12 9 |
15 10 12 14 12 |
10 7 8 10 6 |
11 11 12 8 8 |
a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way
ANOVA
b) Compute the appropriate test statistic(s) to
make a decision about H0.
Name: p-value = ;
Decision: ---Select--- Reject H0 Fail to reject H0
Degree: p-value = ;
Decision: ---Select--- Reject H0 Fail to reject H0
Interaction: p-value = ;
Decision: ---Select--- Reject H0 Fail to reject H0
c) Compute the corresponding effect size(s) and
indicate magnitude(s).
Name: η2
= ; ---Select--- na trivial effect small
effect medium effect large effect
Degree: η2
= ; ---Select--- na trivial effect small
effect medium effect large effect
Interaction: η2
= ; ---Select--- na trivial effect small
effect medium effect large effect
d) Make an interpretation based on the
results.
There is a name difference in the total scores.There is no name difference in the total scores.
There is a degree difference in the total scores.There is no degree difference in the total scores.
There is a name by degree interaction in the total scores.There is no name by degree interaction in the total scores.
In: Math
A manufacturing company measures the weight of boxes before shipping them to the customers. If the box weights have a population mean and standard deviation of 90 lb and 24 lb, respectively, then based on a sample size of 36 boxes, what is the probability that the average weight of the boxes will exceed 94 lb? 34.13% 84.13% 15.87% 56.36% 16.87%
In: Math
Over a five-year period, the quarterly change in the price per share of common stock for a major oil company ranged from -7% to 14%. A financial analyst wants to learn what can be expected for price appreciation of this stock over the next two years. Using the five-year history as a basis, the analyst is willing to assume that the change in price for each quarter is uniformly distributed between -7% and 14%. Use simulation to provide information about the price per share for the stock over the coming two-year period (eight quarters).
Quarter | r | Return % |
---|---|---|
1 | 0.50 | % |
2 | 0.95 | % |
3 | 0.11 | % |
4 | 0.15 | % |
5 | 0.56 | % |
6 | 0.75 | % |
7 | 0.39 | % |
8 | 0.52 | % |
In: Math
A magazine uses a survey of readers to obtain customer satisfaction ratings for the nation's largest retailers. Each survey respondent is asked to rate a specified retailer in terms of six factors: quality of products, selection, value, checkout efficiency, service, and store layout. An overall satisfaction score summarizes the rating for each respondent with 100 meaning the respondent is completely satisfied in terms of all six factors. Sample data representative of independent samples of Retailer A and Retailer B customers are shown below.
Retailer A | Retailer B |
---|---|
n1 = 25 |
n2 = 30 |
x1 = 79 |
x2 = 71 |
Assume that experience with the satisfaction rating scale of the magazine indicates that a population standard deviation of 11 is a reasonable assumption for both retailers. Conduct the hypothesis test.
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers. (Round your answers to two decimal places.)
to
In: Math
The accompanying data file contains monthly observations for 5 years.
a. Calculate the 12-month centered moving average. (Do not round intermediate calculations. Round your answers to 2 decimal places.)
b. Calculate the ratio-to-moving average.
(Do not round intermediate
calculations.Round your answers to 2 decimal
places.)
Year | Jan | Feb | Mar | Apr | May | Jun | Jul | Aug | Sept | Oct | Nov | Dec | CMA:ybar | Rate- to moving Average:y/ybar |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 28 | 30 | 19 | 10 | 28 | 10 | 39 | 31 | 26 | 28 | 18 | 22 | ||
2 | 20 | 21 | 39 | 24 | 34 | 39 | 13 | 32 | 16 | 31 | 13 | 12 | ||
3 | 20 | 11 | 37 | 38 | 25 | 37 | 13 | 30 | 28 | 37 | 13 | 20 | ||
4 | 29 | 33 | 25 | 11 | 21 | 38 | 28 | 12 | 23 | 12 | 13 | 33 | ||
5 | 20 | 29 | 12 | 18 | 25 | 34 | 37 | 23 | 17 | 14 | 15 | 17 |
c-1. Calculate the seasonal indices for April and November. (Do not round intermediate calculations.Round your answers to 4 decimal places.)
Adjusted Seasonal Index | |
---|---|
April | |
November |
c-2. Interpret the seasonal index for April.
(Do not round intermediate
calculations.Round your answer to 2 decimal
places.)
The Series is __________% above or below??? its average monthly
level.
c-3. Interpret the seasonal index for November.
(Do not round intermediate calculations.
Round your answer to 2 decimal places.)
The series is __________% above or below??? its average monthly level.
In: Math
It is surprising (but true) that if 23 people are in the same room, there is about a 50% chance that at least two people will have the same birthday. Suppose you want to estimate the probability that if 30 people are in the same room, at least two of them will have the same birthday. You can proceed as follows.
a. Generate random birthdays for 30 different people. Ignoring the possibility of a leap year, each person has a 1/365 chance of having a given birthday (label the days of the year 1 to 365). You can use the RANDBETWEEN function to generate birthdays. What do you expect the average birthday (a number between 1 and 365) among the 30 people be?
b. Once you have generated 30 people's birthdays, how can you tell whether at least two people have the same birthday? One way is to use Excel's RANK function. (You can learn how to use this function in Excel's online help.) This function returns the rank of a number relative to a given group of numbers. In the case of a tie, two numbers are given the same rank. For example, if the set of numbers is 4, 3, 2, 5, the RANK function returns 2, 3, 4, 1. (By default, RANK gives 1 to the largest number.) If the set of numbers is 4, 3, 2, 4, the RANK function returns 1, 3, 4, 1. What do you expect the sum of the birthday ranks for the 30 people be, if there are no two people with the same birthday?
In: Math
Log onto website where you can observe your service bill for the last 12 months (electric bill, cell phone bill, water bill, etc.). If you do NOT feel comfortable sharing this data, you can make up values.
Analysis
In: Math
11. (10 pts total) One measure of quality and customer satisfaction is repeat business. A supplier of paper used for computer printouts obtained a random sample of 80 customer accounts from 2014 and found that 40 of these had placed more than one order during 2014. A similar survey conducted at the end of the 2015 revealed that 40 of 58 customers ordered again during 2015. (a) (8 pts) Do these data support the contention that there has been an increase in the proportion of repeat business from 2014 to 2015? Do a statistical test to see whether this contention is true (state the null and alternative hypotheses). Make your decision based on a level of significance of α = 0.05. Make sure you state the value of df if it is relevant. (b) (2 pts) Based on your answer to part (a), to what type of error are you now subject to? (Type I or Type II?)
In: Math
Calculate the probability of ending up with an odd number of Spade cards when 5 cards are sampled uniformly at random from a full deck of 52 cards. (assume sampling is one-at-a-time)
In: Math
Consider the following time series data.
Round your answers to two decimal places. a. Compute MSE using the most recent value as the forecast for the next period. Mean squared error is What is the forecast for month ? b. Compute MSE using the average of all data available as the forecast for the next period. Mean squared error is What is the forecast for month ? c. Which method appears to provide the better forecast? |
In: Math