Question
In: Statistics and Probability
Find the z-score for the sample mean for each of the following samples obtained from a...
Find the z-score for the sample mean for each of the following samples obtained from a population with µ = 60 and σ = 6.
a)M = 55 for a sample of n = 4
b)M = 65 for a sample of n = 9
Solutions
Expert Solution
Solution,
Given that,
mean = 
= 60
standard deviation = 
= 6
a) n = 4
=
= 60
=
/ 
n = 6 /
4 = 3
M = 55
z = M -
/
z = 55 - 60 / 3
z = -1.67
b) n = 9
=
= 60
=
/
n = 6 /
9 = 2
M = 65
z = M -
/
z = 65 - 60 / 2
z = 2.50
orchestra answered 2 years agoRelated Solutions
Find the sample mean and sample standard deviation of your data. What is the Z score?...
Find the sample mean and sample standard deviation of
your data.
What is the Z score?
Data
1
223
2
200
3
154
4
217
5
223
6
157
7
178
8
159
9
350
10
243
11
325
12
298
Pick three bills from the last 12 months and change the
values into z-scores. What does the z-score tell you about that
particular month?
Between what two values would be considered a normal bill?
Remember, being within 2 Standard...
Find each of the probabilities where z is a z-score from a standard normal distribution with...
Find each of the probabilities where z is a z-score from a
standard normal distribution with
a mean of μ=0 and standard deviation σ=1. Make sure you
draw a picture of each problem. Show all steps
with TI 83
P(z < 2.15)
P(z > 0.71)
P(-1.45 <z < 2.17)
Find the z-score such that the interval within z standard deviations of the mean for a...
Find the z-score such that the interval within z standard
deviations of the mean for a normal distribution contains
a. 34% of the probability
b. 94% of the probability
. Find the z-score for Kohl’s for Profit Margin. Also, find the z-score for Kohl’s for...
. Find the z-score for Kohl’s for Profit Margin. Also, find the
z-score for Kohl’s for Price/Sales. Describe, in a few sentences,
the meaning of these z-scores.
Profit Margin
(cents per $1 sales)
7
2
1
11
6
3
4
-9
3
2
3
2
-2
10
2
-2
2
5
-3
2
1
6
-3
-1
5
3
4
5
4
7
3
1
4
-16
-1
-4
8
6
2
4
7
1
4
Price to Sales
(ratio)...
Find the critical z-score value for each of the following confidence levels. Give each answer to...
Find the critical z-score value for each of the following
confidence levels. Give each answer to at least three decimal
places.
The z-critical value for a 95% confidence level is:
equation editor
Equation Editor
The z-critical value for an 80% confidence level is:
equation editor
Equation Editor
The z-critical value for a 99% confidence level is:
equation editor
Equation Editor
The z-critical value for a 92% confidence level is:
equation editor
Equation Editor
The z-critical value for a 75% confidence...
In each situation below, calculate the standardized score (or z-score) for the value x. (a) Mean...
In each situation below, calculate the standardized score (or
z-score) for the value x.
(a) Mean μ = 0, standard deviation σ = 1,
value x = 1.5.
(b) Mean μ = 11, standard deviation σ = 7,
value x = 4.
(c) Mean μ = 15, standard deviation σ = 5, value
x = 0.
(d) Mean μ = -10, standard deviation σ = 10,
value x = -30.
Find the indicated z-score shown in the graph to the right. AREA= 0.0274 The z-score is...
Find the indicated z-score shown in the graph to the right.
AREA= 0.0274
The z-score is _____. (Round to two decimal places as
needed.)
Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and...
Find the indicated z score. The graph depicts the standard
normal distribution with mean 0 and standard deviation 1. Click to
view page 1 of the table. LOADING... Click to view page 2 of the
table. LOADING... z0.9812 A graph with a bell-shaped curve, divided
into 2 regions by a line from top to bottom on the right side. The
region left of the line is shaded and is labeled 0.9812. The
indicated z score is ___.
Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and...
Find the indicated z score. The graph depicts the standard
normal distribution with mean 0 and standard deviation 1. Click to
view page 1 of the table. LOADING... Click to view page 2 of the
table. LOADING... z0.9817 A graph with a bell-shaped curve, divided
into 2 regions by a line from top to bottom on the right side. The
region left of the line is shaded and is labeled 0.9817. The
indicated z score is nothing. (Round to two...
Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and...
Find the indicated z score. The graph depicts the standard
normal distribution with mean 0 and standard deviation 1.
z=0.8438
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Build your own computer from the ground up. You must define each part that you want...
- Part A. Outline and explain all the VARIABLES and FACTORS that determine valuation and valuation analysis...
- Study the file polygon.h. It contains the header file for a class of regular polygons. Implement...
- what challenges can myths and stereotypes create for american indians?
- Date accuracy is very important because dates are used for discounts, payment terms and many reports....
- How many milliliters of concentrated hydrochloric acid solution (36.0% HCl by mass, density = 1.18 g/mL)...
- How does the rotating membership of the FOMC work? Why does the president of New York's...
ADVERTISEMENT