The breaking strengths of cables produced by a certain manufacturer have a mean, u, of 1750 pounds, and a standard deviation of 65 pounds. It is claimed that an improvement in the manufacturing process has increased the mean breaking strength. To evaluate this claim, 100 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1754 pounds. Can we support, at the 0.1 level of significance, the claim that the mean breaking strength has increased
Answer:
We accept the null hypothesis that the breaking strength mean is less and equal to 1750 pounds and has not increased.
Step-by-step explanation:
The null and alternative hypotheses are stated as
H0: u ≥ 1750 i.e the mean is less and equal to 1750
against the claim
Ha: u > 1750 ( one tailed test) the mean is greater than 1750
Sample mean = x`= 1754
Population mean = u = 1750
Population deviation= σ = 65 pounds
Sample size= n = 100
Applying the Z test
z= x`- u / σ/ √n
z= 1754- 1750 / 65/ √100
z= 4/6.5
z= 0.6154
The significance level alpha = 0.1
The z - value at 0.1 for one tailed test is ± 1.28
The critical value is z > z∝.
so
0.6154 is < 1.28
We accept the null hypothesis that the breaking strength mean is less and equal to 1750 pounds and has not increased.
What is 3.65 x 5
♀️
Answer:
18.25
Step-by-step explanation:
order the following from least to greatest 5.392, 5.932, 0.593, 0.9
Answer:
0.593, 0.9, 5.392, 5.932
Step-by-step explanation:
hope this helps^-^
Two expressions are shown below. Explain whether or not expressions P and Q are equivalent.
P: 2(3x –9)
Q: 6x –9
Answer:
Not equivalent
Step-by-step explanation:
So basically when it says 2(3x-9) to simplify you need to remove the parentheses so the 2 multiplies both like this; 2×3x + 2×-9= 6x-18
So, 6x-9 is not equal to 6x-18
Answer:
It wouldnt be equivalent
for P, you have to do distributive property.
2×3x equals 6 and then you times 2×-9 which is -18. P= 6x-18. Therefore, it is not equivalent.
I NEED HELP ASAP PLEASE PLEASE PLEASE.
Answer:
C
Step-by-step explanation:
7-7 is wrong
. how many 1/2s are in 3
Answer:
6
Step-by-step explanation:
5.2-3 In a satellite radio system, 500 stations of stereo quality are to be multiplexed in one data stream. For each station, two (left and right) signal channels each of bandwidth 15, 000 Hz are sampled, quantized, and binary-coded into PCM signals. (a) If the maximum acceptable quantization error in sample amplitudes is 1% of the peak signal voltage, find the minimum number of bits needed for a uniform quantizer.
Answer:
the minimum number of bits needed for quantization is 7
Step-by-step explanation:
Given the data in the question;
if quantization is Δv, then the maximum quantization Error is Δv/2
now if we split up the whole range from -[tex]m_{p}[/tex] to [tex]m_{p}[/tex] evenly into L levels, so
Δv = [tex]2m_{p}[/tex] / L
Δv / 2 = [tex]m_{p}[/tex] / L
given that the error must be at most 1% of [tex]m_{p}[/tex],
1%[tex]m_{p}[/tex] = [tex]m_{p}[/tex] / L
1/100 × [tex]m_{p}[/tex] = [tex]m_{p}[/tex] / L
100 = L
now L must be a factor of 2 to be binary encoded,
so lets consider;
L = 128
2ⁿ = 128¹
2ⁿ = 2⁷
n = 7
Therefore, the minimum number of bits needed for quantization is 7
B
C
x
50°
A
D
ABCD is a rectangle.
AC and BD are straight lines.
The angle between AC and BD is 50°.
Work out the size of the angle marked x.
Answer:
The answer is : x = 130 degrees
"Y varies directly as x". If y = 3 when x = 24, find y when x = 10.
Answer:
y=3x-24
Step-by-step explanation:
Can someone please help me.
Answer:
B.
Step-by-step explanation:
That's like the only answer that makes sense.
What is the quotient in simplest form?
12/7 divided by 3
Answer:
your answer would be 4/7.
Step-by-step explanation:
divide the 12 by 3 giving 4 ... 4/7
Solve for x. Round measures to the nearest tenth
please help giving lot of points
Answer:
They would need to sell 32 calendars to EXCEED their goal.
Explanation:
8 x 32= 256, which is more than the $250 needed!
Step-by-step explanation:
What is the value of 6x - 3y if x = 5 and y = 1
Answer:
6x-3y
6(5)-3(-1)
30+3
The answer is 33
Step-by-step explanation:
Brainliest please :)
answer: 27
6×5-3×1
30-3=27
Which is the graph of the function f(x) = 1/2x^2 + 2x – 6?
You want to cover a circular clock in fabric. If the radius of the clock is 6 inches. then how many square inches of fabric will you need?
Answer:
18.84
Step-by-step explanation:
To find the diameter of an question, multiple the radius by 2, since the radius always covers half of the circular clock. Then multiple 12 x pi = 18.84.
(pi = 3.14)
10.A noted psychic was tested for ESP. The psychic was presented with 200 cards face down and askedto determine if the card was one of five symbols: a star, cross, circle, square, or three wavy lines. Thepsychic was correct in 50 cases. To determine if he has ESP, we want to know if his success rate is betterthan someone who just guesses. That is, we test the hypotheses H0: p
Answer:
Step-by-step explanation:
The sample proportion [tex]\hat p = \dfrac{50}{200}[/tex]
[tex]\hat p = 0.25[/tex]
The null hypothesis and the alternative hypothesis:
[tex]H_o: p = 0.20 \\ \\ H_1 : p > 0.20[/tex]
Thus; the test statistics is:
[tex]Z = \dfrac{\hat p - p_o}{\dfrac{p_o(1-p_o)}{n} }[/tex]
[tex]Z = \dfrac{0.25 -0.20}{\sqrt{\dfrac{0.20(1-0.20)}{200} }}[/tex]
[tex]Z = \dfrac{0.05}{\sqrt{\dfrac{0.16}{200} }}[/tex]
[tex]Z = \dfrac{0.05}{\sqrt{0.0008 }}[/tex]
[tex]Z = 1.768[/tex]
P-value = 2 × P(Z< - 1.768)
From the z tables
P-value = 2 × 0.03853
P-value = 0.07706
Thus, the p-value is 0.05 < P-value < 0.10
Nate has a bag containing 3 red, 2 blue, 4 yellow, and 3 green marbles. If he randomly chooses one marble from the bag, what is the probability that the marble will be blue?
The probability that the marble will be blue if he shakes the bag and when you puts his hand into the bag, to move it around and probably he'll get the blue marble.
Hopefully, it correct.... :)
What is an equation of the line that passes through the points (2, -6) and (1, -1)?
Put your answer in fully reduced form.
60 -
first find the gradient.
y2 - y1 / x2 - x1 = ((-1) - (-6)) / (1 - 2) = 5 / -1 = -5
Then find the equation of the line
y - y1 = m(x - x1)
y - (-2) = -5(x - 2)
y + 2 = -5x + 10
y = -5x + 10 - 2
y = -5x + 8
So the equation of the line is y = -5x + 8
Which size box of rice shown in the table has the lowest unit price?
Answer:
12 oz
Step-by-step explanation:
Isaiah scores with 50% of his penalty kicks in soccer. He flips two fair coins to conduct a simulation with 20 trials to determine the likelihood that he will make his next two penalty kicks, as shown. Heads up (H) represents a goal. What is the probability that Isaiah will make both penalty
TH HH TT HT
TH HH HH TT
HT TH TT HH
HT HH HH TT
HT HH TH TT
P(two goals) kicks? Give the probability as a percent. Enter your answer in the box.
Answer:
35%
Step-by-step explanation:
He made 7 out of 20 goals
7/20=0.35=35%
The probability as a percentage is 20%.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
Out of the five Trials,
We can see that only one of them has Isaiah making both penalty kicks (TH HH HH TT).
Therefore, the probability that Isaiah makes both penalty kicks is 1/5 or 0.2.
Converting to a percentage,
0.2 x 100
= 20%
The probability is 20%.
Thus,
The probability as a percentage is 20%.
Learn more about probability here:
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What is 0.0000381 in scientific notation
Answer:
Step-by-step explanation:
Move the decimal place to the right until you get 3.81, that is 5 places. When you move a decimal place to the right, you have to subtract from the power.
[tex]3.81*10^-^5[/tex]
Answer:
3.81x10^-5
Step-by-step explanation:
solve each proportion algebraically. show your work. n/6 = 25/30
Please help I don't get this question
Answer:
D because 9 + 5 = 14 and one variable by itself is equal to 1 so 14 + 1 = 15 add the variable, 15x
Please help! 10 POINTS!
Please solve
2x^2+10+8=0
Answer:
x must be a negative i mean it has to how tfk do you get zero at an answer what kn the world
Find X please put how you got it
The scatter plot shows the number of hours of sleep each night and the number of hours of television watched. Use the scatter plot to complete this statement: A person who watches ________ hours of television would expect to get 12 hours of sleep.
Answer:
It's 1
Step-by-step explanation:
The x axis is the "Hours of Sleep Each Night"
Look at 12 on the x coordinate
Look at y axis
You then see that A person who watches ____1____ hours of television would expect to get 12 hours of sleep.
Answer:
its 1 because i already had TTM with Mrs.Kajmowics and Mrs.Ortiz
Step-by-step explanation:
I really need help plzzz
Answer:
The answer is y=40x because where the line hits a center point on you divide, for example in the picture the line is hitting (1.5,60) so you divide 60 by 1.5 and get 40 :)
subtract 10x^2-10x+2 from -8x^2+7x-7
Answer:
-18x^2+17x-9
Step-by-step explanation:
Someone was interested in determining if there is a difference in the proportion of US adults that working hard was the most important thing for a child to learn in 2012 and 2018. They found data on this in the General Social Survey. In 2018, out of 1542 respondents, 415 said it was the most important. In 2012, out of 1323 respondents, 326 said it was the most important. Find the margin of error with 95% confidence.
Answer:
0.01521
Step-by-step explanation:
The Margin of Error for Difference in Proportions is given as:
z × √p1 × (1 - p1)/n1 - p2 × (1 - p2)/n2
z = z score for 95% confidence interval
= 1.96
In 2018, out of 1542 respondents, 415 said it was the most important.
p1 = x1/n1
x1= 326 n1 = 1323
p1 = 326/1323
0.246409675
Approximately = 0.246
In 2012, out of 1323 respondents, 326 said it was the most important.
p2 = x2/n2
x2 = 415, n2 = 1542
p2= 415/1942
p2 = 0.2136972194
Approximately = 0.214
Margin of Error =
1.96 × √0.246× (1 - 0.246)/1323- 0.214 × (1 - 0.214)/1542
1.96 × √0.0005699169 - 0.0005097276
1.96 × √(0.0000601893)
1.96 × 0.0077581763
= 0.0152060256
Approximately = 0.01521
Therefore, Margin of Error = 0.01521
You can use the formula for margin of error for difference in proportion to find the margin of error with 95% confidence.
The margin of error with 95% confidence for the given data is given by
MOE = 0.32
How to calculate margin of error for difference in proportion to find the margin of error ?Suppose we've two samples with sample sizes [tex]n_1[/tex] and [tex]n_2[/tex] respectively. Let the interested quantities found out in those samples out of their sample sizes are [tex]x_1[/tex] and [tex]x_2[/tex] respectively. Then we have the margin of error for difference in proportion to find the margin of error as:
[tex]MOE = Z_{\alpha/2} \times \sqrt{\dfrac{p_1(1-p_1)}{n_1} + \dfrac{p_2(1-p_2)}{n_2}}[/tex]
where we have:
[tex]p_1 = \dfrac{x_1}{n_1}\\\\p_2 = \dfrac{x_2}{n_2}[/tex]
and
[tex]\alpha = \text{Level of significance}[/tex]
Using the given data to get the margin of error[tex]Year = 2015\\n_1 = 1542\\x_1 = 415\\\\Year = 2012\\n_2 = 1323\\x_2 = 326\\\\\alpha = 100-95\% = 1-0.95 = 0.05[/tex]
For 95% confidence, we have Z score as 1.96
The proportions are calculated as:
[tex]p_1 = \dfrac{415}{1542} = 0.269\\\\p_2 = \dfrac{326}{1323} = 0.246[/tex]
Thus, margin of error is calculated as
[tex]MOE = 1.96 \times \sqrt{\dfrac{0.269 \times 0.731}{1542} + \dfrac{0.246 \times 0.754}{1323}} = 1.96 \times \sqrt{0.000127 + 0.00014}\\\\MOE = 1.96 \times 0.01634 = 0.032[/tex]
The margin of error with 95% confidence for the given data is given by
MOE = 0.32
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