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Mathematics
Study Set
Behavioral Sciences STAT
Quiz 6: Using Probability to Make Decisions About Data
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Question 41
Essay
A group of students were tested using a new software program.The researchers observed a sample mean of with a sample size of N = 20.They know the population mean is
X
ˉ
=
42
α
=
.
05
\begin{array}{l}\bar{X}=42 \\\alpha=.05\end{array}
X
ˉ
=
42
α
=
.05
​
μ
=
38
\mu=38
μ
=
38
and
σ
=
10
\sigma=10
σ
=
10
, so they use and a one-tailed test to determine if their sample is greater than the known population mean.
Question 42
Essay
The introductory biology class at State University is conducting a study of water quality in their local community.The population mean of a certain beneficial bacteria found in drinking water
μ
=
\mu=
μ
=
100, with
σ
x
=
25
\sigma_{x}=25
σ
x
​
=
25
The bacteria counts from the community are given below.Use a two-tailed rejection region with a total area of 0.01.What is the standard error of the mean?
Question 43
Essay
What is the basic premise we begin with in regards to all inferential procedures?
Question 44
Essay
The mean of the population
σ
X
2
=
100
\sigma_{X}^{2}=100
σ
X
2
​
=
100
(
μ
)
(\mu)
(
μ
)
is 200 on a test measuring math skills of middle school students.The variance is .The test scores for the students in Mr.Petri's class at Suburban Middle School are given below.Use a rejection region with a probability of 5% only in the upper tail.What is the z-value?
Question 45
Short Answer
What is the typical criterion probability used by researchers?
Question 46
Essay
What are the two fundamental reasons why a sample mean may differ from a particular population mean?
Question 47
Essay
Professor White felt that he had a representative sample--but he starting to wonder if he really did.Briefly note what might make Professor White feel this way.
Question 48
Essay
Suppose you flip a fair coin five times.Which of the following combinations is most likely to occur? HHHHH HTHTH
Question 49
Short Answer
The introductory biology class at State University is conducting a study of water quality in their local community.The population mean of a certain beneficial bacteria found in drinking water
μ
=
\mu=
μ
=
100, with
σ
x
=
25
\sigma_{x}=25
σ
x
​
=
25
The bacteria counts from the community are given below.Use a two-tailed rejection region with a total area of 0.01.What critical value should you use?
Question 50
Short Answer
At a carnival game, you'll win a prize if you pick a rubber duck out of a pool that has a red dot on the bottom.If only 3 ducks out of 95 present have such a dot, what is your probability of winning a prize?