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Gnom [1K]
3 years ago
13

The height of 5th grade boys is normally distributed with mean μ=57 inches and standard deviation σ=2 inches. What is the probab

ility that the height of a randomly selected 5th grade boy will be between 53 inches and 61 inches?
Mathematics
1 answer:
Wittaler [7]3 years ago
8 0

Answer:

0.9544

Step-by-step explanation:

Mean =  μ=57

Standard deviation σ=2

Formula : z=\frac{x-\mu}{\sigma}

At x = 53

z=\frac{53-57}{2}

z=-2

Refer the z table

P(z<-2)=0.0228

At x = 61

z=\frac{61-57}{2}

z=2

Refer the z table

P(z<2)=0.9772

We are suppose to find the probability that the height of a randomly selected 5th grade boy will be between 53 inches and 61 inches.

P(53<x<61)=P(-2<z<2)=P(z<2)-P(z<-2) = 0.9772 - 0.0228=0.9544

Hence the probability that the height of a randomly selected 5th grade boy will be between 53 inches and 61 inches is 0.9544

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Some college graduates employed full-time work more than hours per week, and some work fewer than hours per week. We suspect tha
Alex_Xolod [135]

Answer:

a)Null hypothesis:\mu =40      

Alternative hypothesis:\mu \neq 40      

b) A Type of error I is reject the hypothesis that \mu is equal to 40 when is fact \mu is equal to 40c) We can commit a Type II Error, since by definition "A type II error is the non-rejection of a false null hypothesis and is known as "false negative" conclusion"Step-by-step explanation:Assuming this problem: "Some college graduates employed full-time work more than 40 hours per week, and some work fewer than 40 hours per week. We suspect that the mean number of hours worked per week by college graduates, [tex]\mu , is different from 40 hours and wish to do a statistical test. We select a random sample of college graduates employed full-time and find that the mean of the sample is 43 hours and that the standard deviation is 4 hours. Based on this information, answer the questions below"

Data given

\bar X=43 represent the sample mean

\mu population mean (variable of interest)

s=4 represent the sample standard deviation

n represent the sample size  

Part a: System of hypothesis

We need to conduct a hypothesis in order to determine if actual mean is different from 40 , the system of hypothesis would be:    

Null hypothesis:\mu =40      

Alternative hypothesis:\mu \neq 40      

Part b

In th context of this tes, what is a Type I error?

A Type of error I is reject the hypothesis that \mu is equal to 40 when is fact [tex]\mu is equal to 40

Part c

Suppose that we decide not to reject the null hypothesis. What sort of error might we be making.

We can commit a Type II Error, since by definition "A type II error is the non-rejection of a false null hypothesis and is known as "false negative" conclusion"

5 0
3 years ago
Read 2 more answers
Bdbdjekdmfmfmfkfmf help
KengaRu [80]

Answer:

Green box: 9

Step-by-step explanation:

7/7 x 9/10

1 x 9/10 = 9/10

8 0
2 years ago
(x-2)=-1/4(x-8) <br> please show steps
RSB [31]

Answer:

(

−

2

)

=

−

1

4

(

−

8

)

(x-2)=\frac{-1}{4}(x-8)

(x−2)=4−1​(x−8)

Solve

1

Eliminate redundant parentheses

(

−

2

)

=

−

1

4

(

−

8

)

−

2

=

−

1

4

(

−

8

)

2

Combine multiplied terms into a single fraction

−

2

=

−

1

4

(

−

8

)

−

2

=

−

1

(

−

8

)

4

3

Distribute

−

2

=

−

1

(

−

8

)

4

−

2

=

−

+

8

4

4

Add

2

2

2

to both sides of the equation

−

2

=

−

+

8

4

−

2

+

2

=

−

+

8

4

+

2

5

Simplify

Add the numbers

=

−

+

8

4

+

2

Solution

=

1

6

5

Step-by-step explanation:

4 0
3 years ago
please help this is a math question about geometry !!!! please view the attached images to see the question and the answer choic
jolli1 [7]

Answer:

It is the second picture.

Step-by-step explanation:

4 0
2 years ago
URGENTTT! CAN SOMEONE PLEASE HELP?
miskamm [114]

Answer:

Hey there!

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Thus, tangent 29 times 400=h

h=221.7 feet.

The height of the kite  is 221.7 feet.

Hope this helps :)

8 0
3 years ago
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