Sleep habits of New Yorkers. New York is known as the city that never sleeps". A random sample of 25 New Yorkers were asked how much sleep they get per night. Statistical summaries of these data are shown below. The point estimate suggests New Yorkers sleep less than 8 hours a night on average. Is the result statistically signicant? n x s min max25 7.73 0.77 6.17 9.78(a) Write the hypotheses in symbols and in words.(b) Check conditions, then calculate the test statistic, T, and the associated degrees of freedom.(c) Find and interpret the p-value in this context. Drawing a picture may be helpful.(d) What is the conclusion of the hypothesis test?(e) If you were to construct a 90% condence interval that corresponded to this hypothesis test, would you expect 8 hours to be in the interval?
Answers
Step-by-step explanation:
1.
the null hypothesis:
H0: u = 8 hours ( new Yorkers sleep for 8 hours)
The alternate hypothesis;
H1: u ≠ 8 hours ( new Yorkers sleep less than 8 hours)
b.
test statistic
t = (barX - u)/s/√n
= 7.73-8/0.77/√25
= -1.7532
degree of freedom = n-1
= 25-1 = 24
c.
p(value)
= p(t < -1.7532)
= 0.046
obviously we can see that the p value is less than 0.05 alpha level so we reject the null hypothesis.
d
The data gives strong evidence that new Yorkers sleep less than 8 hours on average every night.
e.
at 90% level of confidence
we have
7.73-0.26334, 7.73+0.26334
= 7.466, 7.993
please check attachment
thank you!
Related Questions
During the summer months, the prices of nonsmoking rooms with a king-sized bed in hotels in a certain area are roughly Normally distributed with a mean of $131.80 and a standard deviation of $29.12. A travel agent randomly selects prices of nonsmoking rooms with a king-sized bed from 15 hotels in the area. What is the probability that their average cost will be more than $150?
a) 0.0077
b) 0.3678
c) 0.2660
d) 0.1125
Answers
If you have a graphing calculator, go to 2nd vars, normalcdf(.
Put 150 for the lower bound and 99999999 for the upper bound. You want to know the probability of all the values over 150. Put 131.8 for the mean and 29.12 for the standard deviation. Click paste.
Your answer will be .266
13. (a) A man bought two books for Rs 1040. He sold one at a loss of 15% and other at a profit of 36%
then he found that each book was sold for the same price. Find the cost price of each book.
(b) Shastika bought two watches for R's
Answers
Answer:
Let the price of one book be Rs. x
price of next book is = 1040 - X
C.P of 1st book is Rs. x
Loss = 15%
S.P of 1st book = 85x / 100
C.P of 2nd book = 1040 - X
Profit = 36%
S.P of 2nd book = (1040 - x × 136)/100
(85x)/ 100 - (1040 - x × 136) / 100
85 x= 1040 x 136 - 136 x
85 x + 136 x= 1040 × 136
221 x = 1040 x 136
X = (1040 x 136) / 221
X = 640
So, Cost price for 1st book is 640 Rs. and 2nd book is 1040 - 640 = 400 Rs.
Nadia is mountain climbing. She started at an altitude of 19.26 feet below sea level and then changed her altitude by climbing a total of 5,437.8 feet up from her initial position. What was Nadia’s altitude at the end of her climb? 3,511.8 feet above sea level 5,245.2 feet above sea level 5,418.54 feet above sea level 5,457.06 feet above sea level
Answers
Answer:
5418.54
Step-by-step explanation:
because yes
MArking people as BRAINLIST only answer if you know
Answers
Answer:
Quad 4!
Hope I helped!
~PumpkinSPice1
An airplane measures the angle of depression to a tree to be 15 degree it measures that it is 2 miles off the ground how far is the airplane from the bottom of the tree ?
Answers
Answer:
2.070552361 miles
Step-by-step explanation:
2 / cos 15 = 2.070552361
Ruth's credit card has an APR of 10,91%, and it computes finance charges using the previous balance method on a
30-day billing cycle. During the April billing cycle, she made a $45.17 payment on April 10th and a $88.34 purchase on
April 17th. Her total at the start of May was $847.64. What was her balance at the beginning of April?
a $890.91
b. $797.22
C.$796.87
d. $804.47
Please select the best answer from the choices provided
Answers
Answer:
It's B trust
Step-by-step explanation:
The required balance at the beginning of April is $796.87. Option C is correct.
What is interest?Simple interest is defined as the percentage of earnings on the lending for a period of time
To determine Ruth's balance at the beginning of April, we can work backward from her total at the start of May.
Let's call Ruth's balance at the beginning of May "B".
We know that during the April billing cycle:
She made a $45.17 payment on April 10th
She made a $88.34 purchase on April 17th
The APR is 10.91%
So, B = B - $45.17 - $88.34 + (B * 0.1091 * 30 / 365)
Solving for B, we get:
B = $796.87
So, the answer is C. $796.87.
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Becky read 10 books in 4 days.Sarah reads 50 books in 20 days. Are the two girls reading at the same rate
Answers
10 x 5 = 50
4 x 5 = 20
They both have equal multiples.
An 8-foot piece of twine costs $5.76. What is the price per inch?
Answers
Answer:
$0.06
Step-by-step explanation:
First, find how many inches are in 8 feet.
Since 1 foot is 12 inches, multiply 8 by 12:
8(12)
= 96
Then, to find the price per inch, divide the price by the number of inches:
5.76/96
= 0.06
So, the price per inch is $0.06
Answer:
$0.06
Step-by-step explanation:
There are 12 inches in a foot, and there are 8 feet all together, meaning there is 96 inches for $5.76.
Divided the cost y the number of inches to get the cost per inch,
5.76 divided by 96 = 0.06.
12. If 3x + 4y = -1 and x - 2y = 3, then y=
a) 1
b) 2
c)-1
d) 3
e) 4
13. If 2x - 4y = 8 and y=2x + 1, then x
a) 2 b) 4
c) -3
d) 3
e) -2
Answers
y=3 and x= 5
Step-by-step explanation:
3×+×=-1 and 4y-2y=34×=1 and 2y=3×=4-1 and y=3+2x=3 and y=5In the diagram below, triangle A is similar to triangle B. What is the value of n?
In the diagram below, triangle A is similar to triangle B. What is the value of n?
Answers
Answer:
n = 2
Step-by-step explanation:
Since ∆A is similar to ∆B, therefore, the ratio of their corresponding sides would be equal.
Thus:
[tex] \frac{10}{n + 2} = \frac{6}{3} [/tex]
[tex] \frac{10}{n + 2} = 2 [/tex]
Multiply both sides by (n + 2)
[tex] \frac{10}{n + 2}(n + 2) = 2(n + 2) [/tex]
[tex] 10 = 2n + 4 [/tex]
Subtract 4 from each side
[tex] 10 - 4 = 2n + 4 - 4 [/tex]
[tex] 6 = 2n [/tex]
Divide both sides by 2
[tex] \frac{6}{2} = \frac{2n}{2} [/tex]
[tex] 3 = n [/tex]
n = 2
Find the slope using the formula.
(3,-2) and (3, 6)
Answers
Answer:
m = undef
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, -2)
Point (3, 6)
Step 2: Find slope m
Substitute: [tex]m=\frac{6+2}{3-3}[/tex]Add/Subtract: [tex]m=\frac{8}{0}[/tex]Divide: m = undefWhen we divide anything by zero, we will get undefined. Therefore, this would be a vertical line.
A plane traveled 1056 miles each way to carson city and back, The trip there was with the wind. It took 11 hours. The trip back was into the wind. The trip back took 22 hours. Find the speed of the plane in still air and the speed of the wind.
Answers
Answer:
1056 = 11 x 3.2 x 3
Step-by-step explanation:
Find hyptoenuse
Point P′(–6, –4) is the image of point P(–2, 3) under a translation. What is the image of (5, –1) under the same translation?
Answers
Answer:
(1,-8)
Step-by-step explanation:
(-2,3) T<-4,-7> = (-6.-4)
(5,-1) T<-4,-7> = (1,-8)
A librarian sorts 500 books at a constant rate. After 6 days, the librarian still has 200 books to sort. How much time does it take to sort the books from start to finish?
Answers
Answer: 10 days
Step-by-step explanation: So if the librarian sorted at a constant rate, then they sorted the same amount of books all 6 days. If they still have 200 books left to sort, then they sorted 300 books over 6 days. This means that they sorted 50 books per day. 200 divided by 50 is 4. So it will take 4 more days to finish sorting all the books. So altogether, it will take 10 days to sort all of the books.
The total number of required days is 10.
What is Unitary method ?In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.
The total number of books is 500.
The books left after 6 days is 200.
The number books read per day is given as,
(500 - 200)/6
= 300/6
= 50
Now, number of days the remaining number of books to be read is,
200/50 = 4
Thus, the total number of days is 6 + 4 = 10.
Hence, it will take 10 days from the start to finish all the books.
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The area of a circular wave expands across a still pond such that its radius increases by 14 cm each second. Write a formula for the area A of the circle as a function of time t since the wave begins: A=
Answers
Answer:
A = π(14t)²
Step-by-step explanation:
The radius is increasing at the rate of 14 cm per second.
We need to find the formula for the area A of the circle as the function of time t.
Initial area of the circle,
A = πr², where r is the radius of the circle
Area as a function of t will be :
A = π(14t)²
Here, 14t is the radius of the wave.
We want to get the area function given that we know how the radius increases with time.
The function is:
A(t) = (615.44 cm^2)*t^2
Here we know that the radius of a circular wave increases by 14cm each second.
Then we can write the radius as a function of time as:
r(t) = 14cm*t
where t is the time, in seconds, since the wave begins.
Now, remember that the area of a circle of radius r is given by:
A = pi*r^2
where pi = 3.14
Replacing r by the radius function, we get:
A(t) = 3.14*(14cm*t)^2 = (615.44 cm^2)*t^2
This is the area function we wanted to get.
if you want to learn more, you can read:
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Round the answer to the nearest hundredth.
√123.3 = __
Answers
Answer:
11.10
Step-by-step explanation:
√123.3 = 11.10405
Round.
11.10405 → 11.10
Best of Luck!
the sum of two-fifths of a number and
three-tenths of the number.
Answers
Answer:
Seven out of ten
Step-by-step explanation:
Answer:
7/10
Step-by-step explanation:
2/5+3/10=4/10+3/10=7/10
[tex] \sqrt{25} [/tex]
Answers
Given f(x) = 2x2 + 4x - 3 and g(x) = 5x - 2, find f(x) + g(x).
Must show all work to receive credit! Show your work in the box below.
Answers
Answer:
9x-3
Step-by-step explanation:
2x2=4
4+4x-3
4x-1
5x-2
Add them together
4x-1+5x-2= 9x-3
Plz help!
In order for the parallelogram to
be a rectangle, x = [? ]°
13x+349
10x+10°
Answers
Answer:
pretty sure its 2
Step-by-step explanation:
ignore the messing hand writing but I think this is why
Write 2 equivalent ratios for 24/30
Answers
Answer:
Two equivalent ratios are: 4:5 and 48/60.
Step-by-step explanation:
Well, you can divide on the first one, and multiply on the second one. Hope it helps!
Which step is the most efficient way to find the solution of p + 5 > -13
Answers
Answer:
subtracting 5 from both sides
Step-by-step explanation:
please mark brainliest lol :)
Answer:
p>-18
Step-by-step explanation:
The most efficient way to find the solution of p+5>-13 is to subtract 5 from both sides, getting p>-18
A company finds that on average, they use 43 minutes for each meeting. An employee sketches a graph to show the total amount of time in minutes, T, used for m meetings. The graph shows the value of T for 1 to 5 meetings. If the employee counts by 10's, what should be the largest value on the T-axis of his or her graph so that the scale is the most appropriate for the given information? Drag and drop the correct number into the box. Response area
Answers
Answer:
220 just took the test
Step-by-step explanation:
Answer:
your answer is 220 :)
For which value of Theta is tan Theta equal to sin Theta?
A. pi
B. pi/2
C. pi/4
D. pi/6
Answers
Answer:
a. pi
Step-by-step explanation:
Which of the following equations has a slope of -3 and a y-intercept of 8? *
Answers
FIANCE 50 HELP ASAP
Calculate the required return for a Company Z that has a beta of 1.4 if the market risk premium is 9% and the risk-free rate is 4%.
Answers
Calculate the risk measure (beta) compared to the returns of asset and market premium.
1.4 = 4 + 9((rm^-4)
1.4 = 9rm ^-32
33.4 = 9rm
Rm = 3.71
The answer is 3.71
Quinzels earn 1254 each month his total deductions is 20%
Answers
Answer:
I believe its $250.80
Step-by-step explanation:
Because 20% of 1254 is 250.8
dose the graph show a function? explain how you know
Answers
Answer:
No
Step-by-step explanation:
the graph fails the vertical line test
Solve for y
y + 2 = -2(x + 2)
Answers
Step-by-step explanation:
y + 2 = -2x - 4
y = -2x - 6
hope it helps, not 100% sure if it's right
identify the expicit function for the sequence in the table.