Question
In: Math
A researcher hypothesizes that caffeine will affect the speed with which people read. To test this,...
A researcher hypothesizes that caffeine will affect the speed with which people read. To test this, the researcher randomly assigns 8 people into one of two groups: 50mg Caffeine (n1=4) or no Caffeine (n2=4). An hour after the treatment, the 8 participants in the study are asked to read from a book for 1 minute; the researcher counts the number of words each participant finished reading. The following are the data for each group:
50mg Caffeine (group 1)
450 400 500 450
No Caffeine (group 2)
400 410 430 440
Use α-level of .05 to answer the questions below:
i. Draw the sampling distribution of the difference between independent sample means, and locate M1-M2, μ(m1-M2) on the x-axis. What is the value of μ(m1-M2 under the assumption of the null hypothesis; indicate this on the x-axis as well.
j. Given the total df for this problem, what is the critical value of t? Indicate the critical value of t (and its value) in your drawing on (i). Also, indicate what the area is in the tail beyond the critical value of t.
k. Can you reject the null hypothesis?
l. Can you accept the research hypothesis?
Solutions
milcah answered 2 months agoRelated Solutions
A researcher hypothesizes that caffeine will affect the speed with which people read. To test this,...
A researcher hypothesizes that caffeine will
affect the speed with which people read. To test this, the
researcher randomly assigns 8 people into one of two groups: 50mg
Caffeine (n1 = 4) or No Caffeine (n2 = 4). An hour after the
treatment, the 8 participants in the study are asked to read from a
book for 1 minute; the researcher counts the number of words each
participant finished reading. The following are the data for each
sample:
50mg Caffeine...
Another researcher is interested in how caffeine will affect the speed with which people read but...
Another researcher is interested in how caffeine will affect the
speed with which people read but decides to include a third
condition, a placebo group (a group that gets a pill that looks
like the caffeine group does, but it does not contain caffeine).
The researcher randomly assigns 12 people into one of three groups:
50mg Caffeine (n1=4), No Caffeine (n2=4), and Placebo (n3=4). An
hour after the treatment, the 12 participants in the study are
asked to read from...
A researcher investigated the effect of caffeine on performance on a test of attention. Twenty people...
A researcher investigated the effect of caffeine on performance
on a test of attention. Twenty people were given regular black
coffee, twenty people were given espresso, twenty people were given
soda, and twenty people were given an energy drink. Afterwards,
they were all given tests of attention. What is the 〖df〗within?
What is the 〖df〗between? What is the critical value of F for
the 0.05 significance level (using Figure 12.6. F-table for use
with ANOVA)?
〖df〗within = number of participants...
SPSS assignment – Single-sample t test A researcher hypothesizes that people who listen to classical music...
SPSS assignment – Single-sample t test
A researcher hypothesizes that people who listen to classical
music have higher
concentration skills than those in the general population. On a
standard
concentration test, the overall population mean is 15.5. The
researcher gave the
same test to a random sample of 12 individuals who regularly
listen to classical
music. Their scores on the test were as follows:
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Conduct a single sample...
A researcher hypothesizes that students’ performance in a test is better in situations where the surrounding...
A researcher hypothesizes that students’ performance in a test
is better in situations where the surrounding noise is kept lowest.
She collects data on her students under three different levels of
noise. A higher score indicates better performance. Her data
follow. SHOW ALL YOUR WORK.
High Noise
Mod Noise
Low Noise
3
4
6
G =
5
6
8
ΣX2 =
393
4
4
6
N =
3
2
7
k =
2
3
8
T = 17
T =...
1-way ANOVA test A researcher hypothesized that if people were to use his newly-developed caffeine pill,...
1-way ANOVA test
A researcher hypothesized that if people were to use his
newly-developed caffeine pill, that they would have more energy and
have a better attention span throughout the day, but not feel
jittery at night. To test his hypothesis, he gathered 30
participants and randomly assigned them to one of 3 conditions: a
placebo condition (0mg) in which they were given a sugar pill, a
50mg condition, or a 100mg condition. Each participant was made to
stay awake...
A researcher hypothesizes that people who believe in paranormal phenomena will obtain higher scores on the...
A researcher hypothesizes that people who believe in paranormal
phenomena will obtain higher scores on the personality dimension of
openness-to-experience. To test this belief, the researcher takes 8
randomly-selected people and gives them 2 tests: one is a 50-item
test that measures the extent to which they endorse beliefs in
paranormal phenomena and the other is a 30-item test that measures
their openness-to-experience. The following data were obtained:
Subjects
Paranormal beliefs
Openness-to-experience
1
40
22
2
20
14
3
48...
Part A: Imagine a researcher thinks that using caffeine before a test increases test scores. If...
Part A: Imagine a researcher thinks that using caffeine before a
test increases test scores. If they had the consent of all the
students in a 120-person class to participate in a study, a good
experimental design would follow which protocol?
a.
Collect information after the test from the students about the
caffeine they consumed the morning of the test. Regress that
against their test scores.
b.
Ask the whole class to drink16 ounces of coffee the morning of
the...
Suppose you want to know if different dosages of caffeine affect students’ performance on a test....
Suppose you want to know if different dosages of caffeine affect
students’ performance on a test. We randomly sampled 15 college
students and randomly assigned them to three conditions.
Group 1: Very large dose of caffeine
Group 2: Moderate dose of caffeine
Group 3: Placebo (no caffeine)
The table below displays these 15 students’ scores.
Group1
Group 2
Group 3
15
26
10
16
25
9
14
23
9
13
20
6
12
21
6
Calculate SSB, SSW, SST, MSB,...
A student researcher performed a chromatographic separation of caffeine and aspartame. The retention time for caffeine,...
A student researcher performed a chromatographic separation of
caffeine and aspartame. The retention time for caffeine, t c , was
found to be 201.4 s with a baseline peak width, w c , of 13.8 s.
The retention time for aspartame, t a , was 265.0 s with a baseline
peak width, w a , of 21.4 s. The retention time for the unretained
solvent methanol was 40.9 s.
Calculate the average plate height, H , in micrometers for this...
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