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vazorg [7]
2 years ago
13

If the sample variance for a frequency distribution consisting of hourly wages was computed to be 10, what is the sample standar

d deviation?
Mathematics
1 answer:
skad [1K]2 years ago
7 0

The sample standard deviation is (B) $3.16.

<h3>What is the sample standard deviation?</h3>
  • The sample standard deviation is defined as the root-mean-square of the differences between observations and the sample mean: A significant deviation is defined as two or more standard deviations from the mean.
  • The lowercase Greek letter (sigma) for the population standard deviation or the Latin letter s for the sample standard deviation is most commonly used in mathematical texts and equations to represent standard deviation.
  • For example, if the sample variance for a frequency distribution of hourly wages is 10 and the sample standard deviation is $3.16.

Therefore, the sample standard deviation is (B) $3.16.

Know more about sample standard deviation here:

brainly.com/question/475676


#SPJ4

The complete question is given below:
If the sample variance for a frequency distribution consisting of hourly wages was computed to be 10, what is the sample standard deviation?

A. $4.67

B. $3.16

C. $1.96

D. $10.00

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A manufacturer of computer printers purchases plastic ink cartridges from a vendor. When a large shipment is received, a random
g100num [7]

Answer:

97.4% probability

Step-by-step explanation:

Since there is only two possible outcome of inspecting the catridge : either defective or not, we can solve the problem using the binomial probability distribution (approximated to normal).

To approximate the binomial probability to normal, we find the expected value and the standard deviation of the probability of exactly x sucesses on n repeated trials with p probability

Expected values E(X) = np

Standard deviation √V(X) = √np(1-p)

using the z-score formula (X - μ)/σ, we can solve normally distributed problem.

Where μ is the mean and σ is the standard deviation. The Z-score is is the measure of how much a sample is from the mean. The p-value associated with this z-score which is the probability that the value of the measure is smaller than X can be checked on the z-score table.

FOR THIS QUESTION,

a random sample of 200 cartridges is selected

n = 200

Therefore If there are more than 0.02 × 200 = 4 defective, the sample will be returned.

To determine the approximate probability that a shipment will be returned if the true proportion of defective cartridges in the shipment is 0.05

μ = E(X)

= 0.05 × 200 = 10

σ = √V(X) = √np(1-p)

= √200 × 0.05 × 0.95

= 3.08

This probability is 1 subtracted by the pvalue of Z when X =4

Z = (X - μ)/σ

Z= (4 - 10)/3.08

Z = -1.95

Z = -1.95 has a P-value of 0.026 (on the z-score table)

This means that there is a 1 - 0.026 = 0.974

= 97.4% probability that a shipment will be returned if the true proportion of defective cartridges in the shipment is 0.05.

6 0
3 years ago
Mia surveyed the students at her school to find out if they like the color black and/or pink. The results of her survey are show
alukav5142 [94]
28.1%

Do 9/32. 32 is the total
8 0
3 years ago
Read 2 more answers
These cylinders are similar. Find the volume of
Basile [38]

Answer:

V_s=85\ cm^3

Step-by-step explanation:

Let V_s\ and\ V_b be the volumes of the smaller and bigger cylinder.

The formula for the volume of a cylinder is given by :

V=\pi r^2 h

As the two triangles are similar, the cube of their ratio would equal the ratio of their volume i.e.

\dfrac{V_s}{V_b}=(\dfrac{h_s}{h_b})^3\\\\\dfrac{V_s}{V_b}=(\dfrac{3}{5})^3\\\\\dfrac{V_s}{V_b}=0.216\\\\V_s=393\times 0.216\\\\V_s=84.8\\\\or\\\\V=85\ cm^3

So, the volume of the smaller cylinder is equal to 85\ cm^3.

3 0
2 years ago
Is the relation {(1, 3), (–4, 0), (3, 1), (0, 4), (2, 3)} a function? Why or why not? No, the range value 3 corresponds to two d
Lynna [10]

Answer:

Yes, there is no value in the domain that corresponds to ore than one value of the range. Hope I helped


4 0
3 years ago
Read 2 more answers
Use the Distance Formula to find the distance between D(2, 0) and E(8, 6).
Mazyrski [523]

Answer:

The answer is

<h2>6 \sqrt{2}  \:  \:  \: or \:  \:  \: 8.50 \:  \:  \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are D(2, 0) and E(8, 6

The distance between them is

|DE|  =  \sqrt{ ({2 - 8})^{2}  +  ({0 - 6})^{2} }  \\  =  \sqrt{( { -  6})^{2}  + ( { - 6})^{2} }  \\  =  \sqrt{36 + 36}  \\  =  \sqrt{72}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 6 \sqrt{2}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \\  = 8.4852813

We have the final answer as

6 \sqrt{2}  \:  \:  \: or \:  \:  \: 8.50 \:  \:  \:  \: units

Hope this helps you

5 0
3 years ago
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