The mean and standard deviation of a random sample of n measurements are equal to and , respectively. a. Find a % confidence interval for if n. b. Find a % confidence interval for if n. c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed?
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
[tex]33.55 < \mu < 35.5[/tex]
b
[tex]34.03 < \mu < 34.969 [/tex]
c
Generally the width at n = 49 is mathematically represented as
[tex]w = 2 * E[/tex]
[tex]w = 2 * 0.952 [/tex]
[tex]w = 1.904 [/tex]
Generally the width at n = 196 is mathematically represented as
[tex]w = 2 * E[/tex]
[tex]w = 2 * 0.4687 [/tex]
[tex]w = 0.9374 [/tex]
d
The correct option is E
Step-by-step explanation:
From the question we are told that
The sample mean is [tex]\= x = 34.5[/tex]
The standard deviation is [tex]s = 3.4[/tex]
Generally given that the confidence level is 95% then the level of significance is
[tex]\alpha = (100 - 95)\%[/tex]
=> [tex]\alpha = 0.05 [/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Considering question a
From the question n = 49
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{s }{\sqrt{n} }[/tex]
=> [tex]E = 1.96* \frac{ 3.4 }{\sqrt{49} }[/tex]
=> [tex]E = 0.952 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < p < \=x +E[/tex]
[tex]34.5 -0.952 < p < 34.5 + 0.952[/tex]
=> [tex]33.55 < \mu < 35.5[/tex]
Considering question b
From the question n = 196
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{s }{\sqrt{n} }[/tex]
=> [tex]E = 1.96* \frac{ 3.4 }{\sqrt{196} }[/tex]
=> [tex]E = 0.4687 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < p < \=x +E[/tex]
[tex]34.5 -0.4687 < p < 34.5 +0.4687[/tex]
=> [tex]34.03 < \mu < 34.969 [/tex]
Considering question c
Generally the width at n = 49 is mathematically represented as
[tex]w = 2 * E[/tex]
[tex]w = 2 * 0.952 [/tex]
[tex]w = 1.904 [/tex]
Generally the width at n = 196 is mathematically represented as
[tex]w = 2 * E[/tex]
[tex]w = 2 * 0.4687 [/tex]
[tex]w = 0.9374 [/tex]
Now when the sample size is quadrupled i.e from n = 49 to n = 196
The width of the confidence interval decrease by 2 from 1.904 to 0.9374
Tom took a trip of 1,020 miles. He traveled by train at 55 miles an hour and the same number of hours by plane at 285 mph. How many hours did the trip take?
Answer:
3 hours
Step-by-step explanation:
285+55+285+55+285+55=1020
or another way
285+55×3= 1020
×/4=3 whats the answer
Answer:
x=12
Step-by-step explanation:
quick maffs
Answer:
12
Step-by-step explanation:
just do 3 times 4
WHAT IS THE VALUE OF B helpppp plz ?
Order from least to greatest:
-5/6,0.567,-0.11,-1/4
Answer:
-5/6,-1/4,-0.11,0.567
Step-by-step explanation:
Dancing Pools sells swimming pools in 4 sizes. The small pool is 72 feet
long and 18 feet wide. The medium pool is 80 feet long and 20 feet wide. The
large pool is 88 by 22. If the new superduper Coffeetable pool is 96 feet long,
how wide will it be?
Answer:
24 feet wide
Step-by-step explanation:
72/18 = 4
80/20 = 4
88/22 = 4
Since there is one common answer between all sizes, you can make a ratio to help or you can use inverse operations.
Inverse operations is easier, so you would divide 96 by 4, and that will equal 24.
DESPERATE HELP NEEDED!!!
MATHS!!!
WILL AWARD BRAINLIEST!!!
Answer:
a) 24
b) f^-1 = [tex]\sqrt{x+1}[/tex]
c) 3
Step-by-step explanation:
Just plug the numbers in for x:
(5)^2 -1 = 24
Switch x and y then solve for y and replace y with f^-1(x):
x = y^2 -1
sqrt(x +1) = y = f^-1(x)
Now plug in 8:
f^-1(x) = sqrt(8 +1) = 3
the remote areas away from the coast is
Answer:
Pole of Inaccessibility
karla sings for 45 mins for y days each week. on the other days of the week, she plays piano for 1.5 hours. Write an expression for the total number of hours kara sings and plays the piano each week.
Answer:
(10.5 - 0.75y) hours
Step-by-step explanation:
Number of days in 1 week = 7 .
Number of days in a week Karla sings = y
Number of days Karla plays piano in a week = Number of days in 1 week - Number of days in a week Karla sings
Number of days Karla plays piano in a week = 7 - y
In 1 day Karla sings for = 45 minutes
60 minutes = 1hour
45 minutes = 1/60 * 45 = 3/4 hours = 0.75 hours
In y days time for which Karla sings = y *0.75 hours= 0.75y hours
Time for which Karla plays piano in 1 day = 1.5 hours
Time for which Karla plays piano in (7-y) day = 1.5*(7-y) hours
Total time in hours for which karla sings and plays the piano each week
= 0.75y + 1.5*(7-y)
= 0.75 y + 10.5 - 1.5y
= 10.5 - 0.75y
Thus, total number of hours karla sings and plays the piano each week is 10.5 - 0.75y hours
1. which group weighed the most per item on the scale? how much did it weigh?
which group weighed the least per item on the scale? how much did it weigh?
And also complete the table.
Please help it is due right now ASAP
Answer:
cars weighed the most per item and desks the least
(-26) + (+6) - (-67)do u guys know the answer?
Answer:
47
Step-by-step explanation:
Simplify the following:
-26 + 6 - -67
Hint: | Multiply -1 and -67 together.
-(-67) = 67:
-26 + 6 + 67
Hint: | Evaluate 6 + 67 using long addition.
| 1 |
| 6 | 7
+ | | 6
| 7 | 3:
73 - 26
Hint: | Subtract 26 from 73.
| 6 | 13
| 7 | 3
- | 2 | 6
| 4 | 7:
Answer: 47
A player had scores of 284, 192, 264, and 128 at a Yahtzee tournament. What was his mean score?
Answer:
217
Step-by-step explanation:
"Mean" = averageTo find the average: add the numbers together and then divide the sum by the amount of numbers added284 + 192 + 264 + 128 = 868868 ÷ 4 = 217So, the average is 217I hope this helps!
Answer:
217
Step-by-step explanation:
The mean or average is calculated by taking the sum or addition of the data points, and dividing by the number of data points. This is known as a sample of data because it is a subset of data.
In simple terms, add all the numbers up, and divide by the number of numbers.
Arithmetic mean of a sample:
[tex]\bar{X} =\: \frac{\sum X}{n} [/tex]
In this case the mean or average is:
Mean = 284 + 192 + 264 + 128 / 4 = 868 / 4 = 217
(9,0) (3,-4) slope??
Answer:
2/3
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
formula: y2-y1/x2-x1
-4-0/3-9=
-4/-6=
2/3
Graph. f(x) = |2x+2| - 1
Answer:
I included the graph for you, hope this helps!
Step-by-step explanation:
If y is 20, what is x?
When y=20 , x is −5.
Answer:
Depends on the formula given
Everglades National Park is 225 mi long. What scale is needed to draw a map of Everglades National Park that is 10 in. long?
A. 1 in. = 22.5 mi
B. 10 in. = 225 mi
C. 1 in. = 0.04 mi
D. 10 in. = 22.5 mi
Answer:
A. 1 in. = 22.5 mi
Step-by-step explanation:
Since 22.5 x 10 = 225, we can conclude that this will fit the scale needed. B. is incorrect because it is simply illogical in context with a scale and the question. C. is incorrect since 10 x 0.04 is 0.4, which does not equal 10. D. is incorrect since we need the scale to add up to equal 225 mi, not 22.5.
Hope this helps!
-9 - 11 = 2q + 4
Solve?
Answer:
q = -12
Step-by-step explanation:
-9 - 11 can be written as -9 + (-11)
-20 = 2q + 4
Subtract 4 from both sides.
-24 = 2q
Divide both sides by 2
-12 = q
Hope I helped :)
Please consider Brainliest :)
Alondra is training for a 5 mile race. The table below shows how many strides Alondra takes as she builds up to running 5 miles. How many strides will Alondra take to run 4 miles? Exercise Log Miles 1 2 4 5. Strides 2,640 5,280 13,200
Answer:
7920
Step-by-step explanation:
Sandra has $32 in her purse. She $15 for a CD.Which expression represents this situation.
32+15
-32+15
-32+(-15)
32+(-15)
Combine like terms 17y-15y
Answer:
2y
Step-by-step explanation:
Since 17y and 15y both have a y, you can combine it. You can subtract 17-15 to get 2, so the answer is 2y.
How many pies are there if someone eats 2 and then someone else eats 4 then I eat 13? We started with 200 pies.
Answer:
183
Step-by-step explanation: 13+4=17 200-17=183
Answer:
181
Step-by-step explanation:
Gordon types 2,448 words in 36 minutes. Find the unit rate.
Answer: 68 words
Step-by-step explanation: 2448 / 36 = 68
Answer:
68 Words
Step-by-step explanation:
68 words in a minute if you divide 2448 by 36
A famous recipe for New Orleans jambalaya calls for 1 1/4 cups of Gulf shrimp. The recipe serves 5 people. Trinetta and Agnes want to serve 12 people, so they increase all the ingredients proportionally. How much Gulf shrimp is required for the new recipe?
A. 1 2/5
B. 5/12
C. 3 cups
D. 4/5 cups
E. 7 cups
Answer: C. 3 cups
Step-by-step explanation:
Given: In recipe for 5 people, Required Gulf shrimp = [tex]1\dfrac14[/tex] cups
Since, [tex]1\dfrac14=\dfrac{5}{4}[/tex]
Required Gulf shrimp = [tex]\dfrac54[/tex] cups
Then, for 1 people Gulf shrimp required = [tex]\dfrac{5}{4}\div 5[/tex]
[tex]=\dfrac54\times\dfrac{1}{5}[/tex]
[tex]=\dfrac14[/tex] cup
For 12 people, it is required = [tex]12\times\dfrac14 = 3\text{ cups}[/tex]
Hence, 3 cups of gulf shrimp is required for new recipe.
So, correct option is C. 3 cups
Solve each problem. Show all your steps
(−2) ∙ (−5)
Answer:
-2 * (-5)
minus times minus is plus
ans = 10
A major airline company is concerned that its proportion of late arrivals has substantially increased in the past month. Historical data shows that on the average 18% of the company airplanes have arrived late. In a random sample of 1,240 airplanes, 310 airplanes have arrived late. If we are conducting a hypothesis test of a single proportion to determine if the proportion of late arrivals has increased, what is the correct statement of null and alternative hypotheses
Answer:
The correct statement is
The null hypothesis is [tex]H_o : p = 0.18[/tex]
The alternative hypothesis is [tex]H_a : p > 0.18[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.18
The sample size is n = 1240 airplane
The number of airplane is k = 310
Generally the sample proportion is
[tex]\^ p = \frac{k}{n}[/tex]
=> [tex]\^ p = \frac{310}{1240}[/tex]
=> [tex]\^ p =0.25[/tex]
The null hypothesis is [tex]H_o : p = 0.18[/tex]
The alternative hypothesis is [tex]H_a : p > 0.18[/tex]
Last week a gamestop store sold some $43 games and some $30 games for a total of $485 . what was the total number of games sold?
Answer:
14 games
Step-by-step explanation:
43
X 5
-----
$215 - 5 games
$245 - 6 games
$275 - 7 games
$305 - 8 games
$335 - 9 games
$365 - 10 games
$395 - 11 games
$425 - 12 games
$455 - 13 games
$485 - 14 games
Answer:
14 games
Step-by-step explanation:
Constance will win 500 in a savings account which option should she choose so that she will have the most money
Answer:
2 years at 7%
Step-by-step explanation:
Answer:
2 years at 7 percent
Step-by-step explanation:
I got it right on the quiz, I just took it.
Hope this helps! ^^
Your computer supply store sells two types of inkjet printers. The first, type A, costs $241 and you make a $25 profit on each one. The second, type B, costs $103 and you make an $11 profit on each one. You can order no more than 140 printers this month, and you need to make at least $2660 profit on them. If you must order at least one of each type of printer, how many of each type of printer should you order if you want to minimize your cost?
Answer:
The number of printers for type A = x = 80 printers
The number of printers for type B = y = 60 printers
Step-by-step explanation:
Let the number of printers for type A = x
Let the number of printers for type B = y
You can order no more than 140 printers this month
x + y ≤ 140
x + y = 140
x = 140 - y
Profit for type A = $25
Profit for type B = $11
You need to make at least $2660 profit
25x + 11y ≥ 2660
25x + 11y = 2660
Substitute 140 - y = x
25(140 - y ) + 11y = 2660
3500 - 25y + 11y = 2660
3500 - 2660 = 25y - 11y
840 = 14y
y = 840/14
y = 60 printers
x = 140 - y
x = 140 - 60
x = 80 printers
To minimize cost :
The number of printers for type A = x = 80 printers
The number of printers for type B = y = 60 printers
Solve each equation.
Show all steps
4) -8(-6-5k)=-232
the answer is k=4.6. hope this helps
can you help me out
Answer:
A. Multiplication of a positive number and a number greater then 1 increases the number.
Hope this help! :)