What is the slope of the line represented by the equation y = x

Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study wa

4vir4ik [10]

Using the z-distribution, it is found that since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

At the null hypothesis, it is tested if the mean length of jail time is still of 2.5 years, that is:

$H_0: \mu = 2.5$

At the alternative hypothesis, it is tested if it has increased, that is:

$H_1: \mu > 2.5$

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.
$\mu$ is the value tested at the null hypothesis.
$\sigma$ is the standard deviation of the sample.
n is the sample size.

For this problem, the values of the parameters are: $\overline{x} = 3, \mu = 2.5, \sigma = 1.5, n = 26$

Hence, the value of the test statistic is:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{3 - 2.5}{\frac{1.5}{\sqrt{26}}}$

$z = 1.7$

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05, is of $z^{\ast} = 1.645$

Since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

A similar problem is given at brainly.com/question/24166849

5 0

2 years ago

Mr. Koppel stops at a gasoline station to get gas for his car. Gasoline costs $1.49 a gallon. About how many gallons will Mr. Ko

GREYUIT [131]

If Mr. Koppel only has $10.00 to spend on gas, and the gas is $1.49 a gallon. We will have to divide $10 into 1.49.

10 ÷ 1.49 = 6.7

So, Mr. Koppell will be able to buy 6.7 gallons of gas with his $10.00.

Hope this helps. :)

7 0

3 years ago

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Convert 8/9 to its decimal form and round to the nearest thousandth

mote1985 [20]

To figure out what a fraction is as a decimal u would do the top divided by the bottom

For this fraction it would look like this,

8 divided by 9 which would get you 0.88888888888

So your decimal is 0.889

Its not 0.888 because with decimals since a typical decimal is show as 2-3 numbers it would be rounded up to keep it as 3 numbers or less. so this would be 0.889 or if that doesnt work 0.888 with a line over the last 8.

7 0

3 years ago

What will happen to the original shape if the scale factor is a less than 1 b greater than 1 C equal to 1?

Sunny_sXe [5.5K]

Original shape will contract when scale factor is less than 1 , expand when scale factor is greater than 1 and it doesn't change when scale factor is 1

A scale factor is a number that can be used to change the size of any geometrical figure or shape in relation to its original size. It is the ratio of the sizes of the original and dilated figures.

It is denoted by "k"

The magnitude of the scale factor is taken into account, and it cannot be zero. The scale factor has the ability to either increase or decrease the size of an object.

The basic formula for calculating the scale factor of a dilated figure is as follows:

Scale = dimension of preimage / dimension of image

According to the question,

(a) If scale factor is less than 1 , k < 1 then the original shape will contract means It's size will decrease

(b) If scale factor is greater than 1 , then image will enlarge and it would expand

(c) If scale factor is equal to 1 , then No change in shape nor in size

To know more about Scale factor here

brainly.com/question/22312172

#SPJ4

4 0

1 year ago

the image shown at the right contains many triangles describe the different types of triangles found in the image. PLS HELP

MAXImum [283]

Answer:

Step-by-step explanation:

*There is an acute isosceles (don't know if I am spelling any of these correct)

*Right Scalene

*right isosceles

*equilateral

Those are some of the ones that I found

8 0

3 years ago

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What is the slope of the line represented by the equation y = x – 3?