Florida SouthWestern State College Statistics Worksheet

3/26/22, 12:00 PMStudy Guide #3: Chapter 8 through Chapter 9: (Spring 2022-1) STA2023: STATISTICAL METHODS I 805 (21675)
Study Guide #3: Chapter 8 through Chapter 9
Due Apr 3 at 11:59pm
Points 55
Questions 55
Available Jan 5 at 12am – Apr 3 at 11:59pm 3 months
Time Limit 120 Minutes
Allowed Attempts Unlimited
Instructions
Students have unlimited attempts for this assignment. The highest score on this assignment will be used
to calculate the overall course score.
The student t distribution table and the standard normal table (see below) will be posted in the Test
header. If you use INVT then you won’t need the student t distribution table. If you use NORMALCDF
and INVNORM then you won’t need the table standard normal table.
External webcams must be used during all proctored exams. The external webcam must be positioned
so that the instructor can view your desktop.
During Proctored Test #3: Chapter 8 through Chapter 8, students will have 120 minutes to complete the
exam and will only be able to use the following:
two notecards (3″ by 5 “, front and back)
scratch paper
a calculator
https://artofstat.com/web-apps
Microsoft Excel
(https://artofstat.com/web-apps)
Chrome web browser
Need Technical Support during the Test? Contact Proctorio 24/7 by:
Live Chat by clicking the Proctorio extension (shield icon in Chrome)
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Student T Distribution Table
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Study Guide #3: Chapter 8 through Chapter 9: (Spring 2022-1) STA2023: STATISTICAL METHODS I 805 (21675)
Normal Distribution Table
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Study Guide #3: Chapter 8 through Chapter 9: (Spring 2022-1) STA2023: STATISTICAL METHODS I 805 (21675)
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Submitted Mar 26 at 12pm
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Unanswered
Question 1
0 / 1 pts
The Central Limit Theorem is important in statistics because
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Study Guide #3: Chapter 8 through Chapter 9: (Spring 2022-1) STA2023: STATISTICAL METHODS I 805 (21675)
for a large n, it says the population is approximately normal.
for a n 30)
The sampling distribution of the sample mean is generated by repeatedly
taking samples of size n and computing the sample means
The mean of the sampling distribution of the sample mean is equal to the
population mean .
The standard deviation of the sampling distribution of the sample mean is
equal to the population standard deviation
Unanswered
Question 4
0 / 1 pts
One person is randomly selected from a population whose mean is 45
and the standard deviation is 9. What is the probability that the person’s
score is less than 42? Assume the population is normally distributed.
Round answer to 4 decimal places.
Unanswered
Question 5
0 / 1 pts
A random sample of size 81 is selected from a population whose mean is
45 and the standard deviation is 9. Calculate the probability that a sample
mean is less than 42.
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Study Guide #3: Chapter 8 through Chapter 9: (Spring 2022-1) STA2023: STATISTICAL METHODS I 805 (21675)
Round answer to 4 decimal places.
HINT: When you randomly select a group (n > 1) then you need to
calculate the standard deviation of the sampling distribution using the
formula:
Unanswered
Question 6
0 / 1 pts
With regards to calculating the probability that the score was less than 42,
what did you notice when the sample size was increased from 1 person to
81 persons?
The area to the left of 42 decreased.
The area to the left of 42 increased.
The area to the left of 42 did not change.
Unanswered
Question 7
0 / 1 pts
One person is randomly selected from a population whose mean is 45
and the standard deviation is 9. What is the probability that the person’s
score is greater than 48? Assume the population is normally distributed.
Round answer to 4 decimal places.
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Unanswered
Study Guide #3: Chapter 8 through Chapter 9: (Spring 2022-1) STA2023: STATISTICAL METHODS I 805 (21675)
Question 8
0 / 1 pts
A random sample of size 81 is selected from a population whose mean is
45 and the standard deviation is 9. Calculate the probability that a sample
mean is greater than 48.
Round answer to 4 decimal places.
Unanswered
Question 9
0 / 1 pts
With regards to calculating the probability that the score was greater than
48, what did you notice when the sample size was increased from 1
person to 81 persons?
The area to the right of 48 decreased.
The area to the right of 48 increased.
The area to the right of 48 did not change.
Unanswered
Question 10
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0 / 1 pts
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Study Guide #3: Chapter 8 through Chapter 9: (Spring 2022-1) STA2023: STATISTICAL METHODS I 805 (21675)
One person is randomly selected from a population whose mean is 45
and the standard deviation is 9. What is the probability that the person’s
score is between 42 and 48? Assume the population is normally
distributed.
Round answer to 4 decimal places.
Unanswered
Question 11
0 / 1 pts
A random sample of size 81 is selected from a population whose mean is
45 and the standard deviation is 9. Calculate the probability that a sample
mean is between 42 and 48.
Round answer to 4 decimal places.
Unanswered
Question 12
0 / 1 pts
With regards to calculating the probability that the score was between 42
and 48, what did you notice when the sample size was increased from 1
person to 81 persons?
The area between 42 and 48 decreased.
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Study Guide #3: Chapter 8 through Chapter 9: (Spring 2022-1) STA2023: STATISTICAL METHODS I 805 (21675)
The area between 42 and 48 increased.
The area between 42 and 48 did not change.
Unanswered
Question 13
0 / 1 pts
What changes did you observe in the graph when the sample size was
increased from 1 person to 81 persons?
There were no changes in the graph.
The width of the graph decreased causing the area surrounding the mean
to increase.
The width of the graph increased causing the area surrounding the mean
to decrease.
Unanswered
Question 14
0 / 1 pts
The annual salaries of employees in a large company are approximately
normally distributed with a mean of $50,000 and a standard deviation of
$2000. What is the probability of randomly selecting one employee
whose salary is between $48,000 to $52,000?
Round answer to 4 decimal places.
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Study Guide #3: Chapter 8 through Chapter 9: (Spring 2022-1) STA2023: STATISTICAL METHODS I 805 (21675)
Question 15
0 / 1 pts
The annual salaries of employees in a large company are approximately
normally distributed with a mean of $50,000 and a standard deviation of
$2000. Suppose 10 employees are randomly selected. What is the
probability that the mean salary is between $48,000 to $52,000?
Round answer to 4 decimal places.
Unanswered
Question 16
0 / 1 pts
The annual salaries of employees in a large company are approximately
normally distributed with a mean of $50,000 and a standard deviation of
$2000. What is the probability of randomly selecting one employee
whose salary is greater than or equal to $52,000?
Round answer to 4 decimal places.
Unanswered
Question 17
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Study Guide #3: Chapter 8 through Chapter 9: (Spring 2022-1) STA2023: STATISTICAL METHODS I 805 (21675)
The annual salaries of employees in a large company are approximately
normally distributed with a mean of $50,000 and a standard deviation of
$2000. Suppose you randomly select 10 employees. What is the
probability of the mean salary is greater than or equal to $52,000?
Round answer to 4 decimal places.
Unanswered
Question 18
0 / 1 pts
What do you notice when you calculate probabilities associated with a
sampling distribution?
As sample size increases, the probability is higher near the mean of the
distribution.
As sample size increases, the probability is higher in the tails of the
distribution.
As sample size increases, the probability is lower in the tails of the
distribution.
As sample size increases, the probability is lower near the mean of the
distribution.
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Unanswered
Study Guide #3: Chapter 8 through Chapter 9: (Spring 2022-1) STA2023: STATISTICAL METHODS I 805 (21675)
Question 19
0 / 1 pts
A random sample of 250 students is taken from a population of 4,000
students at the State University for which the overall proportion of males is
0.3. Verify whether the sampling distribution for the proportion of male
students is normally distributed.
The distribution is approximately normal
The distribution is not normal because np(1-p) 0.05N
The distribution is not normal because np(1-p) >10
Unanswered
Question 20
0 / 1 pts
A random sample of 25 students is taken from the population of all parttime students in the United States, for which the overall proportion of
females is 0.6. Verify whether the sampling distribution for the proportion
of part-time female students is normally distributed.
The distribution is approximately normal
The distribution is not normal because n>0.05N
The distribution is not normal because np(1-p)>10
The distribution is not normal because np(1-p) 10
The distribution is not normal because n>0.05N
The distribution is approximately normal.
The distribution is not normal because np(1-p) 10
Yes, because np(1-p) is approximately 28
Yes, because np(1-p) is approximately 302
Yes, because np(1-p)=3573
Unanswered
Question 40
0 / 1 pts
What is the critical value z-score for 94% confidence level?
Round answer to 2 decimal places.
Unanswered
Question 41
0 / 1 pts
What is the critical value z-score for an 82% confidence level?
Round answer to 2 decimal places.
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Study Guide #3: Chapter 8 through Chapter 9: (Spring 2022-1) STA2023: STATISTICAL METHODS I 805 (21675)
0 / 1 pts
Question 42
In a recent health survey, 333 adult respondents reported a history of
diabetes out of 3573 respondents. What is the critical value for a 90%
confidence interval of the proportion of respondents who reported a
history of diabetes? (round to 3 decimal places)
Unanswered
0 / 1 pts
Question 43
In a recent health survey, 333 adult respondents reported a history of
diabetes out of 3573 respondents. Construct a 90% confidence interval of
the proportion of persons who reported a history of diabetes. (round to 3
decimal places)
(
,
)
Answer 1:
(You left this blank)
Answer 2:
(You left this blank)
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Study Guide #3: Chapter 8 through Chapter 9: (Spring 2022-1) STA2023: STATISTICAL METHODS I 805 (21675)
Question 44
0 / 1 pts
In a recent health survey, 333 adult respondents reported a history of
diabetes out of 3573 respondents. Calculate the margin of error for a
90% confidence interval of the proportion of persons who reported a
history of diabetes. (round to 3 decimal places)
Unanswered
Question 45
0 / 1 pts
Calculate the minimum number of subjects needed for a research study
regarding the proportion of respondents who reported a history of
diabetes using the following criteria:
95% confidence, within 5 percentage points, and a previous estimate of
0.25
Unanswered
Question 46
0 / 1 pts
Calculate the minimum number of subjects needed for a research study
regarding the proportion of respondents who reported a history of
diabetes using the following criteria:
95% confidence, within 5 percentage points, and a previous estimate is
not known
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Study Guide #3: Chapter 8 through Chapter 9: (Spring 2022-1) STA2023: STATISTICAL METHODS I 805 (21675)
Question 47
0 / 1 pts
The t critical value varies based on (check all that apply):
the sample size
the confidence level
the sample mean
the sample standard deviation
degrees of freedom (n-1)
Unanswered
Question 48
0 / 1 pts
True or False?
As the sample size increases, the t-scores approach the z-scores
associated with the standard normal distribution.
True
False
Unanswered
Question 49
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What is the critical value t-score for a 99% confidence level with 10
degrees of freedom df?
Round answer to 3 decimal places.
Unanswered
Question 50
0 / 1 pts
What is the critical value t-score for a 90% confidence level with a sample
size of 20?
Round answer to 3 decimal places.
Unanswered
Question 51
0 / 1 pts
What is the critical value t-score for a 98% confidence level with a sample
size of 30?
Round answer to 3 decimal places.
Unanswered
Question 52
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Study Guide #3: Chapter 8 through Chapter 9: (Spring 2022-1) STA2023: STATISTICAL METHODS I 805 (21675)
The weights of a random sample of 11 female high school students were
recorded. The mean weight was 110 pounds and the standard deviation
was 17 pounds. If the sampling distribution is known to be approximately
normal then what must be true?
By the central theorem, a sample size of 11 is considered to be sufficiently
large to assume the sampling distribution is approximately normal.
By the central theorem, the population distribution must haven been
normally distributed in order for the sampling distribution to have an
approximate normal distribution.
By the central limit theorem, the population distribution must have been
skewed to the left.
By the central limit theorem, the population distribution must have been
uniformly distributed.
Unanswered
Question 53
0 / 1 pts
The weights of a random sample of 11 female high school students were
recorded. The mean weight was 110 pounds and the standard deviation
was 17 pounds. Construct a 95% confidence interval for the mean weight
of all female students at this high school. Assume that weights are
normally distributed.
Lower Bound
Upper Bound
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Round all answers to 2 decimal places.
Answer 1:
(You left this blank)
Answer 2:
(You left this blank)
Unanswered
Question 54
0 / 1 pts
Using the lower bound and upper bound from the previous problem,
calculate the point estimate and the margin of error E. Then re-express
the confidence interval using the following format:
Round answer to 2 decimal places.
Answer 1:
(You left this blank)
Answer 2:
(You left this blank)
Unanswered
Question 55
0 / 1 pts
Calculate minimum sample size needed to estimate the average salary
earned by FSW alumni with the following criteria:
95% confidence level, sample standard deviation of $1525, and within
$125.
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