Question
In: Statistics and Probability
A social science researcher collected data from a random sample of 400 students at a large...
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A social science researcher collected data from a random sample of 400 students at a large university and found that, on average, they belonged to 2.6 campus organizations. The standard deviation σ for the population is 1.8.
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Using these data, construct a 95% confidence interval for µ, the mean number of campus organizations belonged to by the population of students at this university.
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Write a sentence to interpret your confidence interval, making sure to provide all the important information.
Solutions
orchestra answered 1 year agoRelated Solutions
A social science researcher collected data from a random sample of 400 students at a large...
A social science researcher collected data from a random sample
of 400 students at a large university and found that, on average,
they belonged to 2.6 campus organizations. The standard deviation σ
for the population is 1.8.
Using these data, construct a 95% confidence interval for µ, the
mean number of campus organizations belonged to by the population
of students at this university.
Write a sentence to interpret your confidence interval, making
sure to provide all the important information.
A researcher collected data from a small random sample of ten students by asking them individually...
A researcher collected data from a small random sample of ten
students by asking them individually how much time (y) they spent
studying and how much time (x) they spent on social media, on one
day during an exam week. Both times were given in hours, rounded to
the nearest half hour. They shown in the table below.
x
5
2.5
3
4.5
2.5
2
3
2
6.5
6
y
2
4.5
2
1
4
3.5
2
4
0
0.5...
Researchers have collected data from a random sample of six students on the number of hours...
Researchers have collected data from a random sample of six
students on the number of hours spent studying for an exam and the
grade received on the exam as given in Table 6.5.
Table 6.5
Observation
Grade
Number of Hours Studying
1
85
8
2
73
10
3
95
13
4
77
5
5
68
2
6
95
12
d) Find and interpret a 90% confidence interval for the true
population slope parameter.
Monthly rental rate data were collected from a large random sample of apartments in Manhattan. The...
Monthly rental rate data were collected from a large random
sample of apartments in Manhattan. The mean rate was $3156.50 per
month. The distribution of sample means was normal with a standard
error of $92.801. Construct a 95% confidence interval to estimate
the mean rate in the population of all Manhattan apartments.
[2974.610, 3338.390]
[3003.855, 3309.145]
[3138.311, 3174.689]
[3151.681, 3158.319]
A researcher collected data on the hours of TV watched per day from a sample of...
A researcher collected data on the hours of TV watched
per day from a sample of five people of different ages. Here are
the results:
i
Age
TV Hrs
1
43
1
2
30
6
3
22
4
4
20
3
5
5
6
Create an ANOVA table. Using α = .05use the results in the table
to give a conclusion about whether or not there is a statistically
significant linear relationship between the two variables. Your
score will be...
Suppose the researcher has collected data from a sample of 150 individuals for this study. For...
Suppose the researcher has collected data from a sample of 150
individuals for this study. For
each individual, the weekly take-home pay and weekly food
expenditure were recorded. The
data is stored in the file FOODEXP.XLS. Using this data set and
EXCEL, answer the questions
below.
Take-home pay Weekly food expenditure
262 82
369 182
374 144
381 161
378 210
395 126
401 196
410 212
408 130
415 151
418 145
415 171
425 156
116 114
120 ...
I collect a random sample of size n from a population and from the data collected,...
I collect a random sample of size n from a population and from
the data collected, I compute a 95% confidence interval for the
mean of the population. Which of the following would produce a new
confidence interval with larger width (larger margin of error)
based on these same data? Circle your answer(s)
Use a smaller confidence level.
Use a larger confidence level.
Use the same confidence level but compute the interval n
times.
Suppose you know the length of...
The sample data below have been collected based on a simple random sample from a normally...
The sample data below have been collected based on a simple
random sample from a normally distributed population. Complete
parts a and b. 5 4 0 5 7 6 9 0 8 4 a. Compute a 98% confidence
interval estimate for the population mean. The 98% confidence
interval for the population mean is from to . (Round to two decimal
places as needed. Use ascending order.) b. Show what the impact
would be if the confidence level is increased to...
A random sample of 4 college students was drawn from a large university. Their ages are...
A random sample of 4 college students was drawn from a large
university. Their ages are 22, 17, 23, and 20 years.
a) Test to determine if we can infer at the 5% significance
level that the population mean is not equal to 20.
b) Interpret your conclusion.
A researcher at a large company collected data on the beginning salary and current salary of...
A researcher at a large company collected data on the beginning
salary and current salary of 48 randomly selected employees. The
beginning salaries had a mean of $16,340 with a standard deviation
of $5,970. The current salaries had a mean of $32,070 with a
standard deviation of $15,300. The least-squares regression
equation for predicting current salary (y) from beginning salary
(x) is: predicted salary (y) = LaTeX: -2532.7+2.12x− 2532.7 + 2.12
x
A. Joseph Keller started working for the company...
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