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 was then done to see if the mean time has increased in the new century. A random sample of 26 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was three years with a standard deviation of 1.8 years. Suppose that it is somehow known that the population standard deviation is 1.5 years. Conduct a hypothesis test at a 5% significance level to determine if the mean length of jail time has increased. Assume the distribution of the jail times is approximately normal.
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:
[tex]H_0: \mu = 2.5[/tex]
At the alternative hypothesis, it is tested if it has increased, that is:
[tex]H_1: \mu > 2.5[/tex]
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 3, \mu = 2.5, \sigma = 1.5, n = 26[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{3 - 2.5}{\frac{1.5}{\sqrt{26}}}[/tex]
[tex]z = 1.7[/tex]
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 [tex]z^{\ast} = 1.645[/tex]
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 https://brainly.com/question/24166849
find the total tax to the nearest cent $58 bill; 20% tip
Answer:
$ 68 $ 58
Step-by-step explanation:
I'm not sure answer is $ 68 $ 58
Tell whether the rates are equivalent.
0.8 kilometer for every 2 minutes
0.2 kilometer for every 0.5 minute
Answer:
Yes.
Step-by-step explanation:
0.5 minutes is 1/4 of 2 minutes.
0.2 is also 1/4 of 0.8
you get what I'm sayin?
A shark can swim at an average speed of 25 miles per hour. At this rate, how far can a shark swim in 2.4 hours. Use r= d/t. (D over T)
Answer:
60 miles
Step-by-step explanation:
1 hour = 25 miles. To find how much the shark can swim during 2.4 hours, we just have to multiply 25 by 2.4, which is 60, and that's your answer.
Tell me if I'm wrong :)
expand and simplify (x+6)(x+3) helppp
Answer:
hope it helps you
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The average third grader student can read 60 words in five minutes what is the average reading rate per minute
Answer:
12 words a minute
Step-by-step explanation:
To find the answer all you need to do is divide 60/5
Answer:
12
Step-by-step explanation:
60 divided by 5
What is the the cube root of 310 to the nearest integer
Answer:
6.7679
Please mark this brainiest?
Step-by-step explanation:
Cube root of 310 can be represented as 3√310. The value of cube root of one is 310.The nearest previous perfect cube is 216 and the nearest next perfect cube is 343 .
Answer:
the cube too of 310 is 7
Step-by-step explanation:
as cube root of 310 is 6.76
What is one solution to the systems of linear equations?
Answer:
(4, 4)(4, -4)Step-by-step explanation:
The solution is the point of intersection of the two lines on the graph.
Graph 1.The lines intersect at (4, 4). The solution is (x, y) = (4, 4).
__
Graph 2.The lines intersect at (4, -4). The solution is (x, y) = (4, -4).
Between which two integers does the square root of 117 lie
Answer: 10 and 11 or -11 and -10
Answer:
Step-by-step explanation:
10 and 11 or -10 and -11
Liam rented a surf boar which cost $12.50/hour plus a one-time service fee. He used the board or 5.5 hours and paid a total of $93.75.
Use this information to write an equation (in slope-intercept form) which represents how the rental cost is calculated.
Answer:
y = 12.5x + 25
Step-by-step explanation:
first, we need to find the cost of the one-time service.
12.50*5.5 = 68.75
93.75 - 68.75 = 25
therefore, the one-time service fee is $25.
liam had to pay $12.50 every hour and thats where we get 12.5x from.
he also had to pay $25 as the one-time service fee which gets us y = 12.5x + 25.
hope it helps :)
mark brainliest!!
Answer:
if y is the total cost of the rental, then y-93.75=12.5(x-5.5) models the cost of renting a surf board for x hours. Liam should rewrite the equation from the previous step so that y is isolated on one side. the constant on the other side is then the service fee.
Which graph shows the solution to the system of linear inequalities?
x – 4y < 4
y < x + 1
Answer:
Read image
Step-by-step explanation:
Desmos
Last week robin ran 15 miles over seven days how many miles did she run per day show or explain how you get your answer
Answer:
2.14
Step-by-step explanation:
15 miles ➗ 7 days = 2.14
100 POINTS Suppose ܶTU is on a coordinate plane located at T(-6,-2) and U(2,-6) Under a dilation of scale factor 1/4, TU becomes T'U' with coordinates T'(-3/2,-1/2) and U'(1/2,-3/2) Where is the center of the dilation located ?
A(0,0)
B(2,2)
C(4,0)
D(4,4)
c because the center of dilation is the multiplicatory value of the original point
Craig wants to create a right triangle with side lengths 4 centimeters, 6 centimeters, and 8 centimeters. Is this possible? Why or why not?
Answer:
It's not possible
Step-by-step explanation:
In right triangle hipotenuse must be the longest side so it'll be 8 and legs will be 4 and 6.
So
[tex]4 {}^{2} + 6 {}^{2} [/tex]
Doesn't equal to
[tex]8 {}^{2} [/tex]
16+36=52 not 64
how to write the ration 4.5 : 2.25 in the form n:1
Answer:
2:1
Step-by-step explanation:
Change the ratio to a fraction
4.5/2.25
Simplifying it gives us
2/1
Change back to ratio form
2:1
if mai runs 21 labs at the same rate ( 4 minutes ), how long does it take her ?
what is the simplest form of 32/40
Answer:
4/5
Step-by-step explanation:
Answer:
4/5 or as in decimals, 0.8
Step-by-step explanation:
32/8=4
40/8=5
in spring 2017, data was collected from a random selection of sta 2023 students. one of the question how many concerts they had attended in the past six months. for the 39 randomly selected upperclassmen, the sample mean was 2.31 and sample standard deviation was 2.32. for the 35 randomly selected underclassmen, the sample mean was 2.29 and the sample standard deviation was 2.64. what is the point estimate of the difference in the population mean difference in number of concerts attended between underclassmen and upperclassmen?
Answer:
Step-by-step explanation:
5
According to the point estimate, the population mean difference in the number of concerts attended by freshmen vs seniors is 0.02.
What is the difference in population mean's point estimate?The difference in sample means is a point estimate for the difference in population means.
What's the best way to respond to this query?Data were collected from a random sample of STA 2023 students in the spring of 2017 in order to answer the question. One of the questions they were asked was how many concerts they had gone to in the previous six months. The sample mean was 2.31, with a sample standard deviation of 2.32 for the 39 upperclassmen who were chosen at random. The sample mean was 2.29, and the sample standard deviation was 2.64 for the 35 randomly selected underclassmen.
The point estimate of the population mean difference in the number of concerts attended by underclassmen versus upperclassmen has been requested.
The difference between the sample means is a point estimate for the difference between the two population means, as we already know.
Upperclassmen sample mean - underclassmen sample mean = point estimate,
Alternatively, 2.31 - 2.29 = 0.02 is a point estimate.
The population mean difference in the number of concerts attended by underclassmen against upperclassmen is 0.02 according to the point estimate.
Find out more about point estimates at
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Carley beat the school record for the 400 meter run by 1.3 seconds. If she ran in 55.7 seconds, what was the record?
Answer:
57 seconds
Step-by-step explanation:
55.7 + 1.3 = 57
Hope this helps!
Answer:
57 seconds
Step-by-step explanation:
Since she beat the record by 1.3 seconds, it means the previous record was 55.7 + 1.3. Therefore, the record was 57 seconds.
In my class I have 30 students of them have a birthday in the summer. How many students have
birthdays in the summer?
Answer:
30
Step-by-step explanation:
The answer is said in the question. It said that 30 students of them have a birthday in the summer so it's 30
If one angle of a triangle is 30° more than twice another angle, and the third angle is equal to the sum of the first two angles, find the measure of each angle.
Answer:
Answer:first angle = 25 degrees
Second angle = 35 degrees
Third side = 120/degrees
Step-by-step explanation:
A relationship between x and y is defined by the equation − 5 x + 3 y = 12 , where x is the input and y is the output. Indicate whether each of these statements about the relationship is true or false by selecting a box in each row. Statement True False y is a function of x . The graph of the relationship is a line. The graph of the relationship passes through the origin. When the input is 6, the output is 14.
Answer:
Step-by-step explanation:
y is a function of x . TRUE
The graph of the relationship is a line. TRUE
The graph of the relationship passes through the origin. - it in standard form, when you plugin 0 for x or y, you get the other intersect( x-intercept: (12/-5,0) y-intercept: (0,4)) so it dosent go throught the origin. FALSE
When the input is 6, the output is 14. TRUE
-5(6)+3(14)=12
-30+42=12
12=12
Answer:
y is a function-TRUE
The graph of the relationship is a line-TRUE
The graph of the relationship passes through the origin-FALSE
When the input is 6, the output is 14-TRUE
b) Express 0.6363......as a rational number in its lowest term.
Answer:
[tex]\frac{7}{11}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating digits (63) placed after the decimal point.
let x = 0.636363..... (1) multiply both sides by 100
100x = 63.6363... (2)
Subtract (1) from (2) thus eliminating the repeating digits
99x = 63 ( divide both sides by 99 )
x = [tex]\frac{63}{99}[/tex] = [tex]\frac{7}{11}[/tex] ← in simplest form
what does the x length equal
Answer: 225
Step-by-step explanation:
the point of concurrency of the angle bisectors of a triangle
Answer: The incenter
Step-by-step explanation:
The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle. In other words, the point where three angle bisectors of the angles of the triangle meet are known as the incenter.
I am struggling with my math. help me please
HELP ME!!!!
Answer: 234
Step-by-step explanation:
Decrease £5480 by 10%
Step-by-step explanation:
the currency does not matter (only if we get into any fractions of the main unit and have to name the fractions properly). % is usually about the number itself.
so,
5480 = 100%
1% = 100%/100 = 5480/100 = 54.8
10% = 1% × 10 = 54.8×10 = 548
and so,
£5480 - 10% = 5480 - 548 = £4932
if course, because of the special number 10% we could have gotten the answer faster, but I wanted to show you the full line of thinking when dealing with %. and needed when the number is not so nice.
ALGEBRA: Food Pantry sells its private label salad
dressing in a 48-oz bottle and a 32-oz bottle. If the
48-oz bottle is $0.88 more than the 32-oz bottle and
the unit price of the 32-oz bottle is $0.01 more than the
unit price of the 48-oz bottle, find the cost of each.
Answer: 48oz = $1.68, 32oz = $0.80
Step-by-step explanation:
Let A be the price of the 48oz bottle and B the price for the 32oz bottle.
We are told that:
A = B + $0.88
------
The unit price is defined as the $ per oz.
Let Au be the unit price for the 48oz size, and
Bu is the unit price for the 32oz size.
[This means that Au*(48) = A and Bu*(32) = B]
We are told that:
Bu + $0.01 = Au
=======
Find the cost of each.
A = B + $0.88
Au*(48) = Bu*(32) + $0.88
Substitute (Bu + $0.01) for Au
(Bu + $0.01)*(48) = Bu*(32) + $0.88
(48Bu + $0.48) = Bu*(32) + $0.88
16Bu + $0.48 = $0.88
16Bu = $0.40
Bu = $0.025
The 32 oz bottle sells for $0.025/oz, or $0.80 a bottle
B = $0.80
Since A = B + $0.88
A = $0.80 + $0.88
A = $1.68
The unit prices of 48-oz bottle and 32-oz bottle are $0.0183 and $0.01.
What is division?One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.
Given, 48-oz bottle is $0.88 more than the 32-oz bottle.
That means,
0.88 > 32 x ( 0.01)
0.88 > 0.32
And the unit price of the 32-oz bottle is $0.01 more than the unit price of the 48-oz bottle.
Unit price of 48-oz bottle,
= 0.88 / 48
= 0.0183
Unit price of the 48-oz bottle is $0.0183.
Therefore, $0.0183 and $0.01 are the unit prices of 48-oz bottle and 32-oz bottle.
To learn more about the division;
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solve 3(2x - 3) + 4x = -59
Answer:-5
Step-by-step explanation:
solve pls brainliest
1. None, it makes a cylinder
2. C
3. B
4. A