Sophia Milestone 5 Unit 5 Questions And Answers
With Updated Study Solutions lOM oAR cPSD|7670600
UNIT 5 — MILESTONE 5
1●
Joe hypothesizes that the students of an elite school will score higher
than the general population. He records a sample mean equal to 568 and
states the hypothesis as μ = 568 vs μ > 568.
What type of test should Joe do?
Two-tailed test
●
Right-tailed test
Left-tailed test
●
, Joe should not do any of the types ● of
tests listed.
RATIONALE
Since the Hₐ is a greater than sign, this indicates he wants to run a one-
tailed test where the rejection region is the upper or right tail. This can be
called a right-tailed test.
lOMoAR cPSD| 7670600
CONCEPT
→ One-Tailed and Two-Tailed Tests
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2●
Carl recorded the number of customers who visited his new store during
the week:
Day Customers
Monday 17
Tuesday 13
Wednesday 14
Thursday 16
He expected to have 15 customers each day. To answer whether the
number of customers follows a uniform distribution, a chi-square test for
goodness of fit should be performed. (alpha = 0.10)
What is the chi-squared test statistic? Answers are rounded to the
nearest hundredth.
, lOMoAR cPSD| 7670600
0.40
●
1.60
●
2.33
●
0.67
RATIONALE
Using the chi-square formula we can note the test statistic is
CONCEPT
→ Chi-Square Test for Goodness of Fit
Report an issue with this question
3●
, lOMoAR cPSD| 7670600
One condition for performing a hypothesis test is that the observations
are independent. Mark is going to take a sample from a population of
400 students.
How many students will Mark have to sample without replacement to
treat the observations as independent?
80
●
40
300
●
360
●
RATIONALE
In general we want about 10% or less to still assume independence.
So size = 0.1*N = 0.1(400) = 40
A sample of 40 or less would be sufficient.
CONCEPT
→ Sampling With or Without Replacement
Report an issue with this question
4●
With Updated Study Solutions lOM oAR cPSD|7670600
UNIT 5 — MILESTONE 5
1●
Joe hypothesizes that the students of an elite school will score higher
than the general population. He records a sample mean equal to 568 and
states the hypothesis as μ = 568 vs μ > 568.
What type of test should Joe do?
Two-tailed test
●
Right-tailed test
Left-tailed test
●
, Joe should not do any of the types ● of
tests listed.
RATIONALE
Since the Hₐ is a greater than sign, this indicates he wants to run a one-
tailed test where the rejection region is the upper or right tail. This can be
called a right-tailed test.
lOMoAR cPSD| 7670600
CONCEPT
→ One-Tailed and Two-Tailed Tests
Report an issue with this question
2●
Carl recorded the number of customers who visited his new store during
the week:
Day Customers
Monday 17
Tuesday 13
Wednesday 14
Thursday 16
He expected to have 15 customers each day. To answer whether the
number of customers follows a uniform distribution, a chi-square test for
goodness of fit should be performed. (alpha = 0.10)
What is the chi-squared test statistic? Answers are rounded to the
nearest hundredth.
, lOMoAR cPSD| 7670600
0.40
●
1.60
●
2.33
●
0.67
RATIONALE
Using the chi-square formula we can note the test statistic is
CONCEPT
→ Chi-Square Test for Goodness of Fit
Report an issue with this question
3●
, lOMoAR cPSD| 7670600
One condition for performing a hypothesis test is that the observations
are independent. Mark is going to take a sample from a population of
400 students.
How many students will Mark have to sample without replacement to
treat the observations as independent?
80
●
40
300
●
360
●
RATIONALE
In general we want about 10% or less to still assume independence.
So size = 0.1*N = 0.1(400) = 40
A sample of 40 or less would be sufficient.
CONCEPT
→ Sampling With or Without Replacement
Report an issue with this question
4●
