A study is conducted to determine the extent to which drinking alcohol impairs driving ability. Forty volunteers are each tested twice on a computer simulated driving course, once while sober and once while intoxicated. The tests took place over two days and the order of the treatments were randomly assigned to each volunteer. One of the variables measured is the response time (in seconds) to a certain stimuli. The mean difference in response times measured while intoxicated versus sober is 0.914 seconds with standard deviation 1.496 seconds. Calculate the 99% confidence interval for the mean difference between the response times measured while intoxicated versus sober. Use t*
Answer:
The 99% confidence interval for the mean difference between the response times measured while intoxicated versus sober is between 0.274 and 1.554 seconds.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 40 - 1 = 39
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.7079
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.7079\frac{1.496}{\sqrt{40}} = 0.64[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.914 - 0.64 = 0.274 seconds
The upper end of the interval is the sample mean added to M. So it is 0.914 + 0.64 = 1.554 seconds
The 99% confidence interval for the mean difference between the response times measured while intoxicated versus sober is between 0.274 and 1.554 seconds.
Which of the following statements is true
Answer:
2nd one and the last one
Step-by-step explanation:
A company is going to make an oil container in the shape of a cylinder. As shown below, the container will have a height of 5m and a radius of 3m. The container will be made from steel (including its top and bottom). If the steel costs $24 for each square meter, how much will the steel cost in total? If necessary, refer to the list of geometry formulas. For your calculations, do not round any intermediate steps, and use the π button on the ALEKS calculator. Round your answer to the nearest cent.
Answer:
1,172.3 cm³
Step-by-step explanation:
Find the volume of one rod, then divide the total volume of steel used by the volume of one rod. The volume of one rod is
V = (πd²/4)h
d = 4 cm
h = 20 cm
Plugin the numbers and get V in cm³, then divide the given total volume of 28,134.4 cm³ by V. If the result is not an integer, then round down.
Add
20 + 4 = 24
Then
28,134.4 ÷ 24 = 1172.26
Rounded to the nearest 0.1 or the Tenths Place = 1,172.3
Therefore, 1,172.3 rods will be made per hour.
HELP answer this question please help a girl out
Answer:
37.3 ft
Step-by-step explanation:
x/56 = 32/48
cross multiply:
56x32 = 1792
48x
1792/48 = 37.3
What is the solution to this system of equations?
x + y = 6
{ x = y +2
0 (3, 3)
o (4, 2)
O (2, 4)
O (6, 4
Answer:
3,3
....................
Seth's homework assignment is to write factor pairs that contain only composite
numbers. Seth wrote four factor pairs for the number 132, as shown below.
6 x 22
11 x 12
3 x 44
2 x 66
Which of Seth's factor pairs contains only composite numbers?
F 6 x 22
G 11 x 12
H 3 x 44
J 2 x 66
Answer:
F. 6 x 22
Step-by-step explanation:
6 has more than two factors ( 1, 6, 2, 3), which makes it a composite number.22 has more than two factors (1, 22, 2, 11), which makes it a composite number.Therefore, F is the correct answer.The Seth's factor pairs that contains only composite numbers are
6 × 22.
Composite numbers are numbers with more than 2 factors.
They are natural numbers or positive integers with more than 2 factors. Examples are 15, 10, 20 etc...
The Seth's factor pairs that contains only composite numbers are
6 × 22.
The factors of 6 are 1, 2, 3 and 6
The factors of 22 are 1, 2, 11 and 22.
They both have more than 2 factors.
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A sign on a barrel of nuts in a supermarket says that it contains 30% cashews, 30% hazelnuts, and 40% peanuts by weight. You mix up the nuts and scoop out 18 pounds. When you weigh the nuts, you find that you have 5 pounds of cashews, 4 pounds of hazelnuts, and 9 pounds of peanuts. Is there evidence to doubt the supermarket's claim
Answer:
The calculated χ² = 0.842 does not fall in the critical region χ² ≥ 5.99 so we accept the null hypothesis that all the proportions are equal and there is not enough evidence to doubt the supermarket's claim.
Step-by-step explanation:
1) We set up our null and alternative hypothesis as
H0: p1= 5/18, p2= 4/18, p3= 9/18
against the claim
Ha: p1≠ 5, p2≠ 4, p3≠ 9
2) the significance level alpha is set at 0.05
3) the test statistic under H0 is
χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency
which has an approximate chi square distribution with 2 d.f
4) Computations:
Observed Expected χ²= ∑ (O - E)²/ E
5 5.4 0.0296
4 5.4 0.3629
9 7.2 0.45
∑ 0.842
5) The critical region is χ² ≥ χ² (0.05)2 = 5.99
6) Conclusion:
The calculated χ² = 0.842 does not fall in the critical region χ² ≥ 5.99 so we accept the null hypothesis that all the proportions are equal and there is not enough evidence to doubt the supermarket's claim.
Which statement can be used to find X
Answer:
it's letter D. cos 16⁰=²¹--x
find the value of X in the triangle shown below
Answer:
62.
Step-by-step explanation:
The length 5.7 is the base since it is the side that isn't congruent to 1 mroe side. Therefore, the angles connected to it, including x, is congruent. Sum of angle in triangle=180. given angle 56. 180-56=124. x+x(congruent angles)=124. 2x=124. x=62.
Answer:
62
Step-by-step explanation:
180 - 56 = 124
124/2 = 62
can someone give me a simple answer to this problem
write the following comparison as a ratio reduced to lowest terms.
94 hours to 8 days
Answer:
11.75:1
Step-by-step explanation:
alrighty right, more unit rates, so we have to get that 8 down to 1. How are we gonna do that? By dividing it by 8. And if we divide one side by 8, we also have to divide the other side:
8 ÷ 8 = 1
94 ÷ 8 = 11.75
So 94 hours to 8 days in lowest terms is 11.75 hours to 1 day
Please help me with this math problem
Answer:
The table is a quadratic function
Step-by-step explanation:
Given
The attached table
Required
Tell if it is a quadratic function
The difference in the x values are uniform (i.e. difference of 1), so the following method can be applied.
(1) Subtract adjacent y values.
[tex]d_1=2 - 16 = -14[/tex]
[tex]d_2=-2 - 2 = -4[/tex]
[tex]d_3 = 4--2 = 6[/tex]
[tex]d_4 = 20 - 4 = 16[/tex]
(2) Subtract adjacent differences in (1) above
[tex]d_5 = d_2 - d_1 = -4 --14 = 10[/tex]
[tex]d_6 = d_3 - d_2 = 6 --4 = 10[/tex]
[tex]d_7 = d_4 - d_3 = 16 -6 = 10[/tex]
Notice the calculated differences in (2) are the same.
Hence, the table is a quadratic function
Write an equation of the line below.
Answer:
y=-1/3x
Step-by-step explanation:
y=-2/6x
y=-1/3x
y-intercept is 0
What is the equivalent ratio of 3 6
Answer:
1:2
Step-by-step explanation:
Please can anyone answer this question
In testing hypotheses, which of the following would be strong evidence against the null hypothesis?
a. obtaining data with a low test statistic.
b. using a small level of significance.
c. using a large level of significance.
d. obtaining data with a large p-value.
e. obtaining data with a small p-value.
Answer:
e. obtaining data with a small p-value.
Step-by-step explanation:
In the null hypothesis, we test if the mean respects certain condition, and on the alternate hypothesis, we test the opposite of the null hypothesis.
The decision depends on the pvalue:
If the pvalue is smaller than the level of significance, that is, the pvalue has small values, the null hypothesis is rejected, that is, it is strong evidence against the null hypothesis. Large pvalues do not give evidence against the null hypothesis.
So the correct answer is given by option e.
34% of a shirt order for a department store arrived damaged. If the order
was for 500 shirts, how many of the shirts were damaged? *
Answer:
170 shirts
Step-by-step explanation:
500×0.34
170
in the following diagram HI || JK what is the measure of
Answer:
118
Step-by-step explanation:
1 straight line equals 180 degrees minus 62 makes it 118
At one farmer’s market, bananas cost $0.80 per pound. At another farmer’s market, bananas are sold in 5-pound bags for $4.50 per bag. Which explains how to find the better buy?
Divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound.
Divide 0.80 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound.
Multiply 4.50 by 5 to find the cost for 5 pounds, and compare to $4.50 per bag.
Multiply 4.50 by 0.80 to find the cost for 5 pounds, and compare to $4.50 per bag
Answer:
Divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound.
Step-by-step explanation:
There are 6 balls in a bucket and 3 of them
are white. If you choose a ball at random,
what is the probability that it will not be
white?
Answer:
[tex] \frac{3}{6} [/tex]
Anna has n number of nickels. She has less than 45 cents. Which inequality could be used to the find the value of n?
A 0.05n < 0.45
B 0.05n > 0.45
C 0.05n < 0.45
D 0.05n > 0.45
Answer:
The correct answer is A or C 0.05n < 0.45
Step-by-step explanation:
Nickels cost $0.05 and n is the number of nickels, so you multiply the two to get 0.05n. Since this value is less than $0.45, we put a less than sign.
A food truck sells burgers and hot dogs. During lunch, it sold 88 items for a total of $331. If burgers cost $4.50 and hotdogs cost $3.25, how many of each item were sold?
Help me please, I don’t understand this at all
Answer: d
Step-by-step explanation:
aint no 90 cuz
Answer:
Not a right triangle
Step-by-step explanation:
root 4^2 + 6^2 is not equal to 7.5
PLZ HELP ASAP NO LINKS AND NO STEALING POINTS OR ELSE I WILL REPORT IT HAS TO BE AN IMPROPER FRACTION.
Answer:
Hello Love!
8 ÷ 3/5 = 13 1/3 sense thats a mixed fraction I'll convert it and it converts to 13 x 3 + 1 = 40 so 40/3 is our answer
at the doctor's appointment a baby weight 10 pounds how many ounces did the baby weigh
Answer:
160 ounces
Step-by-step explanation:
A pound = 16 ounces
16x10=160 ounces
10.30, 7.85____, 2.95, 0.50 which of the following should be placed in the blank above to complete the pattern?
6.30
5.40
4.85
3.45
PLS HELP IMA GIVE BRAIN LISTTT!!!
Which model is 85% shaded?
Done
Answer:
First left
Step-by-step explanation:
17/20 = 0.85 = 85/100 = 85%
please help me here dudes and dudettes
Answer:
what!!!!!!!!!!!!!!!!!! so only for dudesssssssss
You are comparing cell phone plans at two cell phone companies. The probability that you buy a plan from company A is 0.2. The probability that you buy a plan from company B is 0.4. Assuming these events are mutually exclusive, what is the probability that you buy a plan from company A or company B?
A. 0
B. 0.16
C. 0.2
D. 0.6
Answer:
the answer for this question is option 0.16
The number 312.8 is 34% of x. What is the value of x rounded to the nearest whole number
Answer:
X = 920
Step-by-step explanation:
To start off, we have to find how many times 34% can go into 100%. It can go in precisely 2.94117647059 times. Then, we take that number and multiply it by 312.8, since 312.8 is 34% of 100%. We get 920 from that, which is the answer.
Hope this helped!
A percentage is a way to describe a part of a whole. The value of x rounded to the nearest whole number is 920.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that the number 312.8 is 34% of x. Therefore, we can write,
34% of x = 312.8
(34/100) × x = 312.8
Multiply both the sides of the equation by 100,
(34/100) × x × 100 = 312.8 × 100
Divide both the sides of the equation by 34,
[(34/100) × x × 100] ÷ 34 = (312.8 × 100) ÷ 38
x = (312.8 × 100)/34
x = 920
Hence, the value of x rounded to the nearest whole number is 920.
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