Question
In: Statistics and Probability
In a controlled laboratory environment, independent random samples of 10 adults and 10 children were tested...
In a controlled laboratory environment, independent random samples of 10 adults and 10 children were tested by a psychologist to determine the room temperature that each person finds most comfortable. The study provided the following results:
Adults Children
Sample size 10 10
Sample mean (in degrees) 77.5 74.5
Sample variance 4.5 2.5
Which one of the following is the correct 99% confidence interval for the true difference in population mean temperatures that adults and children find most comfortable?
Solutions
orchestra answered 1 year agoRelated Solutions
URGENT!! Independent random samples of the selling prices (in 10 000 TL ) of houses in...
URGENT!!
Independent random samples of the selling prices (in 10 000 TL )
of houses in three popular districts of four big cities were taken.
The selling prices are as shown below. Assume that the populations
from which the sample drawn are normally distributed. (use
2 digits after decimal point)
District A
District B
District C
Ankara
45
52
54
İstanbul
46
51
58
İzmir
40
60
50
Bursa
37
49
46
1. Complete the following analysis of
variance table....
A researcher conducted an experiment in which two independent random samples of students were asked to...
A researcher conducted an experiment in which two independent
random samples of students were asked to rate on a 7-point scale
whether they thought animal research is wrong with 7 indicating it
was wrong and 1 indicating it was not wrong. The sample sizes,
means, and variances are shown separately for males and females in
Table below.
Groups
N
Mean
Variance
Females (Group 1)
17
5.353
2.743
Males (Group 2)
32
3.882
2.985
What is the correct calculated value for...
Independent random samples, each containing 60 observations, were selected from two populations. The samples from populations...
Independent random samples, each containing 60 observations,
were selected from two populations. The samples from populations 1
and 2 produced 37 and 30 successes, respectively.
Test H0:(p1−p2)=0 against Ha:(p1−p2)≠0. Use α=0.05.
(a) The test statistic is
(b) The P-value is
(c) The final conclusion is
A. We can reject the null hypothesis that
(p1−p2)=0 and conclude that (p1−p2)≠0.
B. There is not sufficient evidence to reject the
null hypothesis that (p1−p2)=0.
Independent random samples, each containing 60 observations, were selected from two populations. The samples from populations...
Independent random samples, each containing 60 observations,
were selected from two populations. The samples from populations 1
and 2 produced 23 and 13 successes, respectively.
Test H0:(p1−p2)=0H0:(p1−p2)=0 against
Ha:(p1−p2)>0Ha:(p1−p2)>0. Use α=0.03α=0.03
(a) The test statistic is
(b) The P-value is
1 point) Independent random samples, each containing 60 observations, were selected from two populations. The samples...
1 point) Independent random samples, each containing 60
observations, were selected from two populations. The samples from
populations 1 and 2 produced 33 and 22 successes, respectively.
Test H0:(p1−p2)=0 against Ha:(p1−p2)≠0. Use α=0.08.
(a) The test statistic is____
(b) The P-value is ____
(c) The final conclusion is A. We can reject the null hypothesis
that (p1−p2)=0 and accept that (p1−p2)≠0. B. There is not
sufficient evidence to reject the null hypothesis that
(p1−p2)=0.
5. Two brands of coffee were compared. Two independent random samples of 50 people each were...
5. Two brands of coffee were compared. Two independent random
samples of 50 people each were asked to taste either Brand A or
Brand B coffee, and indicate whether they liked it or not. Eighty
four percent of the people who tasted Brand A liked it; the
analogous sample proportion for Brand B was ninety percent.
(A) [8] At α = 0.01, is there a significant difference in the
proportions of individuals who like the two coffees? Use the
p-value...
Independent random samples of sizes n1 = 307 and n2 = 309 were taken from two...
Independent random samples of sizes n1 = 307
and n2 = 309 were taken from two populations.
In the first sample, 92 of the individuals met a certain criteria
whereas in the second sample, 108 of the individuals met the same
criteria.
Test the null hypothesis H0:p1=p2versus the alternative
hypothesis HA:p1<p2.
a) Calculate the z test statistic, testing
the null hypothesis that the population proportions are equal.
Round your response to at least 3 decimal places.
b) What is the...
Q2) Independent random samples of sizes n1 = 208 and n2 = 209 were taken from...
Q2) Independent random samples of sizes n1 =
208 and n2 = 209 were taken from two
populations. In the first sample, 172 of the individuals met a
certain criteria whereas in the second sample, 181 of the
individuals met the same criteria.
Test the null hypothesis H0:p1=p2versus the alternative
hypothesis HA:p1>p2.
a) Calculate the z test statistic, testing the null
hypothesis that the population proportions are equal. Round
your response to at least 2 decimal places.
b) What is...
Independent random samples of n1 = 700 and n2 = 520 observations were selected from binomial...
Independent random samples of
n1 = 700
and
n2 = 520
observations were selected from binomial populations 1 and 2,
and
x1 = 335
and
x2 = 378
successes were observed.
(a) Find a 90% confidence interval for the difference
(p1 − p2) in the two
population proportions. (Round your answers to three decimal
places.)
Independent random samples of n1 = 800 and n2 = 670 observations were selected from binomial...
Independent random samples of
n1 = 800
and
n2 = 670
observations were selected from binomial populations 1 and 2,
and
x1 = 336
and
x2 = 378
successes were observed.
(a) Find a 90% confidence interval for the difference
(p1 − p2) in the two
population proportions. (Round your answers to three decimal
places.)
to
(b) What assumptions must you make for the confidence interval to
be valid? (Select all that apply.)nq̂ > 5 for samples
from both populationssymmetrical...
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