Answer: 588 min
24x7 x3.5
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?
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.
Calculate Valume of cones and spheres
Answer:
v = 1808,64cm³
Step-by-step explanation:
big cone:
a = pi.r²
a = 3,14x12²
a = 452,16cm²
v = a.h/3
v = 452,16x12/3
v = 1808,64cm³ (that's a three)
you got the point, now you can do the others... kinda of
PLEASE ANSWER ME!
What is the result when the number 65 is increased by 53%?
Answer:
The result when 65 is increased by 53% is 34.45
Step-by-step explanation:
Hope this helps and have a great day :)Answer:
34.45
Step-by-step explanation:
i hope you get it right
Please help it would mean alot!
Points and brinliast!
Answer:
Maybe because what about the other votes that were supposed to be left.
Step-by-step explanation:
the largest negative integer is -1000
Answer:
rlly
Step-by-step explanation:
disagree but yea sure
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
Find the quotient. 3,482 ÷ 9 = *
Answer:
386.8
Step-by-step explanation:
pretty sure thats it
Answer:
386.8888 .. ...
Step-by-step explanation:
3482/9
a snail moves through a garden and travels 1 1/8 meters in 1 1/2 Minutes. What is the snails rate in Minutes per Meters
Answer:
Step-by-step explanation
Given
a snail moves through a garden and travels 1 1/8 meters in 1 1/2 Minutes.
Solution
So
the snails rate =11/8÷11/2
= 1/4Minutes per Meters
So the answer is 1/4 minute per meter
It is the quantity of an amount of something at a rate of one of another quantity.
If a snail moves through a garden and travels 1 1/8 meters in 1 1/2 Minutes.
The snail's rate in minutes per meter is 4/3 minutes.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
Example:
3 miles in 60 minutes.
1 mile in 20 minutes.
We have,
Snail travels:
[tex]1\frac{1}{8}[/tex] meters = [tex]1\frac{1}{2}[/tex] minutes
9/8 meters = 3/2 minutes
Multiplying 8/9 on both sides.
1 meters = 8/9 x 3/2 minutes
1 meter = 4/3 minutes
This means that the snail's rate in minutes per meter is 4/3 minutes.
Thus,
If a snail moves through a garden and travels 1 1/8 meters in 1 1/2 Minutes.
The snail's rate in minutes per meter is 4/3 minutes.
Learn more about unit rates here:
https://brainly.com/question/11258929
#SPJ5
Can you please give me more answers?
Answer:
more answers on wht
Step-by-step explanation:
Answer:
wdym more answers ? there isn't a question
Step-by-step explanation:
which one is greater 140% or 0.14
What is the slope of function 3x-5y=17
Answer:
y=5/3x-3.4
Step-by-step explanation:
slope is 5/3
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
In slope-intercept form of linear equation y = mx + b , "m" is the slope
3x - 5y = 17
- 5y = - 3x + 17
y = [tex]\frac{3}{5}[/tex] x - [tex]\frac{17}{5}[/tex]
m = [tex]\frac{3}{5}[/tex]
three less than the total of a number and
nine
Answer:
(x+9)-3
Step-by-step explanation:
. Solve for x.
10xy=W
Answer:
x=W/10y
Step-by-step explanation:
What is the rate of change for the line that goes through the points (8,14) and (11, 19.25)
Answer:
1.75Step-by-step explanation:
The rate of change for the line that goes through the points (8,14) and (11, 19.25) is known as the slope expressed as;
slope m = y2-y1/x2-x1
Substitute the coordinate pairs into the formula;
m = 19.25-14/11-8
m = 5.25/3
m = 1.75
Hence the rate of change for the line is 1.75.
help please 20 points to who answers not 10 points 20
Answer:
b c and a
Step-by-step explanation:
Answer:
A, B, C
Step-by-step explanation:
Eighteen less than 9 times a number is the same as 14 more than the number.
Comply the equation
Answer:
x=4
Step-by-step explanation:
9x-18 = x+14
9×-× = 14+18
8× = 32
X = 4
The purchase price of a camcorder is $818 what is the total price if the sales tax rate is 8.5%
BLINKS!! WHAT ALBUM SHOULD I GET
Theres more but not all fit in one pic
Answer: Idc u pick
Step-by-step explanation:
Answer:
square up
Step-by-step explanation:
its the best (blink fan for 3 years)
Interest paid on £2500 at an interest at an interest rate of 15%
Answer:
£375Step-by-step explanation:
Amount = £2500Interest rate = 15%Interest
£2500*15/100 = £3751
After becoming completely blind at the age of
sixty-four, what did Leonhard Euler do?
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.
Answer:
The remainder is...
7
Hope this helps!!
Step-by-step explanation:
Answer: it’s c
Step-by-step explanation:
Options:
- does not
- does
Answer: does not
Step-by-step explanation: I think a linear equation is y=mx+b
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
Answer: 39x-45=15x-24
Step-by-step explanation:
Do inside brackets first then simplify
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
Answer:
carbon dioxide,oxygen,nitrogen
What is the slope of line m?
Answer:
Slope= -0.5
Step-by-step explanation:
Answer:
1/2x
Step-by-step explanation:
You go down one step and run 2 steps
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
Answer:
B built many roads and temples
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.
Answer:
4r-3
Step-by-step explanation:
3 fewer means subtracting 3 and 4 represents the r
us
Figure ABCD is a kite. Find the
value of x.
B
X + 20
X + 10
А
С
X = [?]
Enter
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!
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
Answer:
b
Step-by-step explanation:
absoulute value is never negative.
as
Complete the equation describing how x
and y are related.
ху
-2
-1
0
1
2
3
-8
-5
-2
1
4
y = [? ]x +
Enter the answer that
belongs in [?].
Answer:
[tex] y = 3x - 2 [/tex]
Step-by-step explanation:
The equation that describes how x
and y are related is given in the slope-intercept form, [tex] y = mx + b [/tex]
Where, m = slope, and b = y-intercept.
Let's find the value of m and b using the table of values given.
Using two of the pairs given, (-2, -8) and (-1, -5),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 -(-8)}{-1 -(-2)} = \frac{3}{1} = 3 [/tex]
Substitute x = -2, y = -8, and m = 3 in [tex] y = mx + b [/tex] to find the value of b.
Thus:
[tex] -8 = (3)(-2) + b [/tex]
[tex] -8 = -6 + b [/tex]
Add 6 to both sides
[tex] -8 + 6 = b [/tex]
[tex] -2 = b [/tex]
Substitute m = 3 and b = -2 in [tex] y = mx + b [/tex].
The equation that describes how x
and y are related would be:
[tex] y = 3x - 2 [/tex]