The proportion of observations from a standard Normal distribution that take values larger than -0.75 is about A) 0.2266 B) 0.7704 C) 0.7734 D) 0.7764 E) 0.8023
Answers
Answer:
Option C: 0.7734
Step-by-step explanation:
From z-distribution table attached,
P(Z ≤ -0.75) = 0.2266
However, we are looking for proportion of observations from a standard Normal distribution that take values larger than -0.75.
Thus;
P(Z > -0.75) = P(Z ≤ 0.75) = 1 - 0.2266
P(Z > -0.75) = 0.7734
Option C is the correct answer.
Related Questions
Consider the following hypothesis test:
H0: µ = 20
Ha: µ < 20
A sample of 50 provided a sample mean of 19.4. The population standard deviation is 2.
a. Compute the value of the test statistic (to 2 decimals).
b. What is the p-value (to 3 decimals)?
c. Using a = .05, can it be concluded that the population mean is less than 20?
d. Using a = .05, what is the critical value for the test statistic?
e. State the rejection rule: Reject H0 if z is the critical value.
f. Using a = .05, can it be concluded that the population mean is less than 20?
Answers
Answer:
a
[tex]z = - 2.12[/tex]
b
[tex]p- value = 0.017003[/tex]
c
There is sufficient evidence to show that the population mean is less than 20
d
[tex]z_{0.05} =- 1.645[/tex]
e
The decision rule is
Reject the null hypothesis
f
The conclusion is
There is sufficient evidence to show that the population mean is less than 20.
Step-by-step explanation:
From the question we are told that
The null hypothesis is [tex]H_o: \mu = 20[/tex]
The alternative hypothesis is Ha: µ < 20
The sample size is n = 50
The sample mean is [tex]\= x = 19.4[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The population standard deviation is [tex]\sigma = 2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{19.4 - 20 }{ \frac{2}{ \sqrt{50 } } }[/tex]
=> [tex]z = - 2.12[/tex]
From the z table the area under the normal curve to the left corresponding to -2.12 is
[tex](P< -2.12) = 0.017003[/tex]
Generally the p-value is
[tex]p- value = 0.017003[/tex]
From values obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that the population mean is less than 20.
Generally form the normal distribution table the critical value at a level of significance of [tex]\alpha = 0.05[/tex] is
[tex]z_{0.05} =- 1.645[/tex]
Generally given that [tex]z < z_{0.05}[/tex]
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that the population mean is less than 20.
Yesterday, the temperature in a city dropped from 9°C to –9°C, as shown below.
The expression 9 + (–18) represents the final temperature. Which of the following is an equivalent way to describe this temperature?
|–18| degrees in a negative direction from 9 degrees
|–18| degrees in a positive direction from 9 degrees
|–9| degrees in a negative direction from 9 degrees
|–9| degrees in a positive direction from 9 degrees
Answers
Answer:
b
Step-by-step explanation:
absoulute value is never negative.
Please help it would mean alot!
Points and brinliast!
Answers
Answer:
Maybe because what about the other votes that were supposed to be left.
Step-by-step explanation:
the largest negative integer is -1000
Answers
Answer:
rlly
Step-by-step explanation:
disagree but yea sure
PLEASEE HELPP WILL BRAINLIST why would the average rate of the change be equal to zero from x = -2 to x = 6?
Answers
Answer:
x=5
Step-by-step explanation:
I was working on this problem also.
Maybe my version will help, too.
You need to sketch f given the information you have.
f'(x) is approximately a a cubic polynomial which means f will look like a quartic (think W)
f slopes down (negative slope) to x=2 and then slopes down again...this is a horizontal tangent.
f then slopes down to to x=5 where is has a minimum and then slopes up.
if im not wrong
BLINKS!! WHAT ALBUM SHOULD I GET
Theres more but not all fit in one pic
Answers
Answer: Idc u pick
Step-by-step explanation:
Answer:
square up
Step-by-step explanation:
its the best (blink fan for 3 years)
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California. Suppose that the mean income is found to be $22.4 for a random sample of 2128 people. Assume the population standard deviation is known to be $9.3. Construct the 98% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place.
Answers
Answer:
[21.9, 22.9] in thousands of dollars
Step-by-step explanation:
The formula for Confidence Interval
= Mean ± z score × standard deviation/√n
Mean = $22.4
Standard deviation = $9.3
n = 2128
z score of 98% confidence interval = 2.326
Confidence Interval = 22.4 ± 2.326 × 9.3/√2128
= 22.4 ± 0.469
Confidence Interval =
22.4 - 0.469
= 21.931
≈ 21.9 in thousand of dollars
22.4 + 0.469
= 22.869
≈ 22.9 in thousands of dollars
Hence, the 98% confidence interval =
[21.9, 22.9] in thousands of dollars
What is the decimal for this grid?
0.04
4.0
0.004
Answers
If three servings of ice cream has 24g of fat, how many milligrams of fat does one serving have?
Answers
Answer:
600
Step-by-step explanation:
24 by 3 times 100
The number of milligrams of fat that one serving has is 8000 milligrams.
Firstly, it should be noted that
1000mg = 1 gram.
Since three servings of ice cream has 24g of fat, therefore, the fa that will be contained in each will be:
= 24/3
= 8g
Therefore, we'll convert 8 grams to milligrams and this will be:
= 8 × 1000
= 8000 milligrams.
Therefore, a serving has 8000 milligrams.
Read related link on:
https://brainly.com/question/17662451
A basketball player averages 12,5 points per game. There are 24 games in a season. At this rate, how many points
would the player score in an entire season?
In the entire season, the basketball player would score
points.
✓ Done
Intro
15 of 15
Answers
Answer:
12.5 x 24=300
Step-by-step explanation:
. Solve for x.
10xy=W
Answers
Answer:
x=W/10y
Step-by-step explanation:
1
After becoming completely blind at the age of
sixty-four, what did Leonhard Euler do?
Answers
Answer:
his remarkable mathematical flow continued without interruption – in fact, it increased.
Step-by-step explanation:
Look at the long division problem shown on the right. Complete the division to determine what the remainder will be.
What is the remainder?
–10
–7
7
10
x + 4 StartLongDivisionSymbol 4 x Superscript 4 Baseline + 18 x cubed + 3 x squared minus 18 x + 15 EndLongDivisionSymbol. minus 4 x Superscript 4 Baseline + 16 x cubed to get a remainder of 0 x Superscript 4 Baseline + 2 x cubed + 3 x squared. minus 0 x Superscript 4 Baseline + 2 x cubed + 8 x squared to get a remainder of 0 x Superscript 4 Baseline + 0 x cubed minus 5 x squared minus 18 x. minus 0 x Superscript 4 Baseline + 0 x cubed minus 5 x squared minus 20 x to get a remainder of blank and a quotient of 4 x cubed + 2 x squared minus 5 x + c.
Answers
Answer:
The remainder is...
7
Hope this helps!!
Step-by-step explanation:
Answer: it’s c
Step-by-step explanation:
A city is approximately circular with a radius of 10.6 miles. Approximately 90,000 people live there. What is the population density of this city?
Answers
Answer:
513 people per square mile
Step-by-step explanation:
because
What is the slope of the line that passes through (0,0) (3,4)?
Answers
Answer:
M = 4/3 - c/3
Step-by-step explanation:
Answer:
4/3
Step-by-step explanation:
The slope formula is the difference in y over the difference in x, so 4-0/3-0.
Please help i will give brainlest!
Answers
Answer:
6×1+9×1/10+4×1/100+7×1/1000
Step-by-step explanation:
Marc has 3 fewer than 4 times the amount of ringtones than Melanie has. Write
an expression to show how many ringtones Marc has. Let r represent the
number of ringtones on Melanie's phone.
Answers
Answer:
4r-3
Step-by-step explanation:
3 fewer means subtracting 3 and 4 represents the r
A rectangle a photo with dimension 3 inches wide by 4 inches long is enlarged to a length of 12 inches what is the width of the enlarged print
Answers
us
Figure ABCD is a kite. Find the
value of x.
B
X + 20
X + 10
А
С
X = [?]
Enter
Answers
Answer:
x = 30
Step-by-step explanation:
Since this is a right triangle,
90 = (x + 20) + (x + 10)
90 = x + x + 20 + 10
90 = 2x + 30
90 - 30 = 2x
60 = 2x
60/2 = 2x/2
30 = x
Check:
x + 20
30 + 20 = 50
x + 10
30 + 10 = 40
50 + 40 = 90
Hope this helps!
Help please it’s math
Answers
This is one I’m stuck on
Answers
Answer:
1.109
2.264
3.462
Step-by-step explanation:
8. Three gases found in Earth's atmosphere are carbon dioxide, nitrogen, and oxygen. What is their
order of abundance from greatest to least?
A. nitrogen, oxygen, carbon dioxide
B. nitrogen, carbon dioxide, oxygen
C. oxygen, nitrogen, carbon dioxide
D. carbon dioxide, oxygen, nitrogen
Answers
Answer:
carbon dioxide,oxygen,nitrogen
what is the image of (6,-2) under the translation (x,y) (x-5,y-8)
Answers
M
Can someone please help me!!
Answers
Answer:
64 is the measure of angle A.
Step-by-step explanation:
===================================================================
The triangle is an isosceles triangle, so when you use the supplementary theorem for angle BCA and 116, you get 64. And since the base pairs are equal, angle A is 64.
===================================================================
Answer:
m∠A = 64°
Step-by-step explanation:
If AB = BC , then ∠CAB ≅ ∠ACB
m∠ACB = 180° - 116° = 64° ⇒ m∠A = 64°
What's the range of this function graph?
Question 3 options:
A)
(–∞,2)
B)
[2,∞)
C)
(–2,∞)
D)
[–2,∞]
Answers
Answer:
B [2,∞)
Step-by-step explanation:
Find the quotient. 3,482 ÷ 9 = *
Answers
Answer:
386.8
Step-by-step explanation:
pretty sure thats it
Answer:
386.8888 .. ...
Step-by-step explanation:
3482/9
Which equation is equivalent to 3[x + 3(4x – 5)] = 15x – 24?
a.15x – 15 = 15x – 24
b.15x – 5 = 15x – 24
c.39x – 45 = 15x – 24
d.39x – 15 = 15x – 24
Answers
Answer: 39x-45=15x-24
Step-by-step explanation:
Do inside brackets first then simplify
CAN SOMEONE PLS HELP
Which phrase best completes this table?
Table:
(Queen Hatshepsut's Accomplishments)
* Opened trade with many other regions
* Was only the second woman to rule Egypt
* ???????????
Options to choose from for the third one :
A. Gave women the same rights as men
B. Built many roads and temples
C. Made peace with the Hittites
D. Invaded the kingdoms of Punt and Somalia
Please help me I need an answer fast!
I REALLY NEED HELP
Answers
Answer:
B built many roads and temples
Find the slope of the line passing through the points (-4,9) and (-4,-6).
Answers
Answer:
Indefinite answer
Step-by-step explanation:
Use formula
Y2 - y1 over x2 - x1
Guess what -4 - -4 gets cancelled and denominator becomes 0
help please 20 points to who answers not 10 points 20
Answers
Answer:
b c and a
Step-by-step explanation:
Answer:
A, B, C
Step-by-step explanation: