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Juliette [100K]
3 years ago
10

Using traditional methods, it takes 108 hours to receive a basic driving license. A new license training method using Computer A

ided Instruction (CAI) has been proposed. A researcher used the technique with 270 students and observed that they had a mean of 107 hours. Assume the variance is known to be 49. A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Find the value of the test statistic. Round your answer to 2 decimal places. Enter the value of the test statistic.
Mathematics
1 answer:
Rainbow [258]3 years ago
4 0

Answer: z= -2.35

Step-by-step explanation:

When the population variation is know, then we calculate the z-statistic.

Formula to calculate the z-test statistic is given by :-

z=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}

where , n= sample size

\overline{x} = sample mean

\mu = Population mean

\sigma =Population standard deviation.

As per given we have,

n= 270

\mu= 108

\overline{x}=107

\sigma^2=49\\\\\Rightarrow \sigma=\sqrt{49}=7

Then, z-statistic  will be

z=\dfrac{107-108}{\dfrac{7}{\sqrt{270}}}    (Substitute all the values )

\Rightarrow\ z=\dfrac{-1}{\dfrac{7}{16.4316767252}}  

\Rightarrow\ z=\dfrac{-1}{0.426006433614}  

\Rightarrow\ z=-2.34738238931\approx-2.35  

Hence, the value of the test statistic= z= -2.35

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The side length is 5 units, and the area is 25 square units

<h3>What are areas?</h3>

The area of a shape is the amount of space it occupies

<h3>What is the area of a square</h3>

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From the graph, the coordinates of the square can be assumed to be:

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The side length of the square is then calculated using the following distance formula

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I need help please<br><br> I will give points and brainlest
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We see that the point (miles, minutes) = (1 2/3, 12) lies on the graph, so the contant of proportionality is ...

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<h3>b.</h3>

The proportion can be written ...

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  time = (3)(7.2 minutes) = 21.6 minutes

Catlin was running 21.6 minutes

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<h3>c.</h3>

In 1 hour, Catlin will run 3 times as far as in 20 minutes. Using the result from part A, we find ...

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Catlin will run 8 1/3 miles in one hour.

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<em>Additional comment</em>

Once we have a relationship between minutes and miles, we can write proportions with either of those numbers in the numerator or denominator. We find it convenient to put the unknown value in the numerator of a proportion, which is why the ratios are written differently in the different parts of the problem.

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Answer:

y

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x

1

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y

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)

and  

(

x

2

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y

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apply:

(

y

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=

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(

x

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In this example our two points are  

(

0

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1

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and  

(

2

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4

)

Hence:  

(

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)

=

m

(

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−

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=

−

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m

→

m

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(

m

)

and intercept  

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c

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form is:

y

=

m

x

+

c

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y

=

3

2

x

+

c

Since the point  

(

0

,

1

)

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3 years ago
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We are given;

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