Answer:
0.5675 = 56.75% probability that the difference in mean weight of the samples is greater than fifteen pounds.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction of normal variables:
When we subtract two normal variables, the mean of the subtraction distribution is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
Scotts American Bulldog males have weights that are normally distributed with a mean of 85 pounds and a standard deviation of 14.6 pounds.
This means that [tex]\mu = 85, \sigma = 14.6[/tex]
Sample of 9 male bulldogs:
By the Central Limit Theorem:
[tex]n = 9, \mu_M = 85, s_M = \frac{14.6}{\sqrt{9}} = 4.8667[/tex]
Female American Bulldog have weights that are normally distributed with a mean of 69 pounds and a standard deviation of 8.8 pounds.
This means that [tex]\mu = 69, \sigma = 8.8[/tex]
Sample of 8 female bulldogs:
By the Central Limit Theorem:
[tex]n = 8, \mu_F = 69, s_F = \frac{8.8}{\sqrt{8}} = 3.1113[/tex]
Subtraction of Male by Female:
[tex]\mu_S = \mu_M - \mu_F = 85 - 69 = 16[/tex]
[tex]s_S = \sqrt{s_M^2+s_F^2} = \sqrt{4.8667^2+3.1113^2} = 5.7762[/tex]
What is the probability that the difference in mean weight of the samples (Male - Female) is greater than fifteen pounds?
This is 1 subtracted by the pvalue of Z when X = 15. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
With our distribution(subtraction)
[tex]Z = \frac{X - \mu_S}{s_S}[/tex]
[tex]Z = \frac{15-16}{5.7762}[/tex]
[tex]Z = -0.17[/tex]
[tex]Z = -0.17[/tex] has a pvalue of 0.4325
1 - 0.4325 = 0.5675
0.5675 = 56.75% probability that the difference in mean weight of the samples is greater than fifteen pounds.
Based on data from the U.S. Census Bureau, a Pew Research study showed that the percentage of employed individuals ages who are college educated is at an all-time high. The study showed that the percentage of employed individuals aged with at least a bachelor's degree in was . In the year , this percentage was , in it was , and in it was only (Pew Research website). a. What is the population being studied in each of the four years in which Pew has data
Complete Question:
Based on data from the U.S. Census Bureau, a Pew Research study showed that the percentage of employed individuals ages 25-29 who are college educated is at an all-time high. The study showed that the percentage of employed individuals aged 25-29 with at least a bachelor's degree in 2016 was 40%. In the year 2000, this percentage was 32%, in 1985 it was 25%, and in 1964 it was only 16%.+
(a) What is the population being studied in each of the four years?
O college educated individuals
O college educated individuals aged 25-29
O individuals aged 25-29
O employed individuals aged 25-29
O employed individuals
(b) What question was posed to each respondent?
O Have your earned a bachelor's degree (or higher)?
O Are you enrolled in college?
O Are you between the ages of 25 and 29?
O In what year did you receive your bachelor's degree?
O Are you employed?
(c) Do responses to the question provide categorical or quantitative data?
O categorical
O quantitative
Answer:
U.S. Census Bureau
a. The population being studied in each of the four years is:
O college educated individuals aged 25-29
b. The question that was posed to each respondent is:
O Have your earned a bachelor's degree (or higher)?
c. O categorical
Step-by-step explanation:
a) Data and Calculations:
Percentage of employed individuals ages 25-29 with at least a bachelor's degree
in 2016 = 40%.
In the year 2000 = 32%,
in 1985 = 25%,
in 1964 = 16%.+
The percentage has continued to increase steadily.
b) Categorical data does not indicate numbers. They are qualitative in nature. Instead, the data are grouped into categories. Examples of categorical data are data about race, sex, age group, and educational level.
Tyler needs to complete this table for his consumer science class. He knows that 1 tablespoon contains 3 teaspoons and that 1 cup contains 16 tablespoons.
What are the values of t, x, y, and c ?
Answer:
Step-by-step explanation:
This table reflects the proportional relationship amongst number of teaspoons, number of tablespoon, number of cups.
In other words these three measures are proportional.
By taking proportionality ratio of 'number of tablespoons' and 'number of cups' first.
[tex]\frac{12}{48}=\frac{C}{3}[/tex]
C = [tex]\frac{12\times 3}{48}[/tex]
C = 0.75
Similarly, [tex]\frac{y}{2}=\frac{12}{C}[/tex]
[tex]\frac{y}{12}=\frac{2}{0.75}[/tex]
y = [tex]\frac{24}{0.75}[/tex]
y = 32
Now, [tex]\frac{t}{36}=\frac{y}{12}[/tex]
[tex]\frac{t}{36}=\frac{32}{12}[/tex]
t = 96
By the same rule,
[tex]\frac{36}{x}= \frac{12}{48}[/tex]
x = [tex]\frac{48\times 36}{12}[/tex]
x = 144
Therefore, complete table will be,
Number of teaspoons Number of tablespoons Number of cups
96 32 2
36 12 0.75
144 48 3
HELP!!! THIS IS DUE AT 11:59!
Answer:
1. x = 22
2. x = 38
3. x = 24
Step-by-step explanation:
Uhhhhhh
8,25,42,,
Sequence find the 82nd term
Answer:
1385
Step-by-step explanation:
1) the difference is d=25-8=42-25=17;
the sequence given in the condition is arithmetic one (linear relationship).
2) in order to calculate the value of the 82d term:
a(n)=a(1)+d*(n-1), where n - number of required term (it is 82), then
a(82)=8+17*(82-1)=8+1377=1385.
WRITE YES IF THE EQUATION IS RIGHT AND NO IF ITS WRONG PLS!
what is the sum of 1/8 + 5/16 + 3/8
Answer:
0.8125
Step-by-step explanation:
because i did the process
Answer:
0.8333333 or 13/16
Step-by-step explanation:
-37 ≥ n - 20
What could n be??
Answer:
-78
Step-by-step explanation:
-78 - 20 = -98 which is less than -37,
im sorry this answer might be wrong i tried my best
if m∠4= 138°. Find m∠1, m∠2, and m∠3.
please explain how to work this out
70% of the tickets sold at a school carnival were early-admission tickets. If the school sold 80 tickets in all, how many early-admission tickets did it sell?
The school sold 56 early admission tickets.
Step-by-step explanation:
To figure this out, you can multiply 80 by 0.7 and get the amount of early admission tickets that way.
If you wanted too, you could also do it by figuring out what 10% of 80 is (which is 8) and multiply that by 7 if that's easier for you.
Bruce bought 5/8 ounces of peppers and 2/3 ounces of onions. How many more ounces of onions did he buy compared to peppers?
Answer:
The price of one pound of bell peppers is $0.6.
Step-by-step explanation:
This problem is equivalent to the following:
"if 10 oranges cost $20, how much does 1 orange cost? "and the answer to that question is:
price of 1 orange = $20/ 10 oranges = $2 per orange.
Put simply, we divided the total price by the total number of items, and we shall do the same thing for the case of bell peppers:
price of 1 pound = $1.25/ 2.5 pounds = $0.5/ pound.
The price for 1 pound of bell peppers is $0.5.
What is 26% of 480?
Please
Answer:
124.8 is 26% of 480.
Step-by-step explanation:
required percentage is :
26/100 × 48013 / 50 × 48013 / 5 × 48 124.8i hope it helped...
There are twice as many children as adults attending a family reunion. Which fraction of the family members at the reunion are adults? PLEASE HELP!! I WILL GIVE 18 BRAINLEST POINTS!
Answer:
1/3
Step-by-step explanation:
let a = adults
so then 2a = children
a/2a(+a) = a/3a
I have to show my work using the LCM strategy or fraction models.
Answer:
1/2 or 0.5 in decimal
Step-by-step explanation:
you would want to make the 3/10 eqale to 20/100 like it has to have the same denominatior which is 10x10 and 3x10. because 10x10 eqal to 100, and what you do to the bottom you have to do the same on the top. and then you add which becomes 30/100+20/100=50/100 and 50/100 =1/2 if you simplfiy.
what is w divided by 6=7
Answer:
42
Step-by-step explanation:
w/6 = 7
multiply both sides by 6
w = 42
Needing some help please
Answer: Should be (4,0)
Step-by-step explanation:
The answer to 4(7m+6f)
Answer:
28m + 24f
Step-by-step explanation:
4(7m + 6f)
28m + 24f (distributive property of equality)
Simplify: 12 + 9x
help
Answer:
21x
Step-by-step explanation:
Answer:
yea
Step-by-step explanation:
I LiKE YoUr CuT G what's 4 divided by 5?
Answer: 0.8% or 80%
Step-by-step explanation: Good luck! :D
Answer:
0.8
Step-by-step explanation:
like your cut g lollllllllllllllllllllllllllllllllllllllll
la potencia de un motor Mercedes Benz es de 120 Hp,(1Hp= 746 w) ¿ que fuerza realiza el motor para que el auto alcance una velocidad de 30m/s.
prrr favor ayudame
Answer:
3627181992838(1331)323-242_4224$78
If you answer your the G.O.A.T. Pleaseeeeeeeee somebody answer
Answer:
[tex]8 - 10 = -2[/tex]
[tex]-20 - 10 = -30[/tex]
[tex]-2 - (-19) = 17[/tex]
[tex]-25 -35=-60[/tex]
Step-by-step explanation:
(a)
[tex]8 - 10[/tex]
Rewrite as addition:
[tex]8 - 10 = 8 + (-10)[/tex]
[tex]8 - 10 = -2[/tex]
(b):
[tex]-20 - 10[/tex]
Rewrite as addition:
[tex]-20 - 10 = -20 + (-10)[/tex]
[tex]-20 - 10 = -30[/tex]
(c)
[tex]-2 - (-19)[/tex]
Rewrite as addition:
[tex]-2 - (-19) = -2 +19[/tex]
[tex]-2 - (-19) = 17[/tex]
(d)
[tex]-25 -35[/tex]
Rewrite as addition:
[tex]-25 -35=-25 +(-35)[/tex]
[tex]-25 -35=-60[/tex]
Can someone help me solve this
And what does complementary,
supplementary,vertical,
And adjacent angles mean!?!?!
Answer:
angle 6 and 5.
complementary means 2 angles whose sum is 90° and supplementary means 2 angles whose sum is 180°. a way to remember is that is: c(from complementary) is way before s(from supplementary) in the alphabet so you know that complementary has the smaller amount. adjacent angles share the same endpoint of and angle and vertical angles are pairs of the opposite angles made by intersecting lines
Please help me pleaseeeee
Answer:
Step-by-step explanation:
Answer:
tangent; inverse; 28.6
Step-by-step explanation:
You have given two legs;
You would use the inverse function, you are not given an angle;
g is about 28.61 degrees
at Kayla swimwear 6 out of 20 style at the store are bikinis what percentage of swimsuit styles at the store are bikinis
Answer:
is wrong，6/20,3/10
Step-by-step explanation:
If the coordinates of a pre-image are (x, y), which motion rule represents a counterclockwise rotation of 90° about the origin?
Answer:
What is the angle of rotation for this counterclockwise rotation about the origin?
answer:
270°
Step-by-step explanation:
Mr. Tanner bought some boxes of markers with 18 markers in each box. He kept 2 markers and gave the rest to his students. Use the equation below to calculate the number of boxes (b) he bought. 18b – 2 = 214
Answer: 18b-2+2=214 +2
Step-by-step explanation:Add 2 both sides of the equation
Answer:
b = 12; he bought 12 boxes.
Step-by-step explanation:
18b - 2 = 214 (subtract 2 on both sides)
18b = 216 ( divide 18 on both sides to get 'b' alone)
b = 12
what is the square root of 64
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
8x8=64 so √64=8. hope this helps!
Help with number one!! Explain how you did it please!! Thank you.
Answer:
x=2, x=-3
Step-by-step explanation:
what are your thoughts about the choice of music style and genre in hamilton? Give reasons for your answer (write a paragraph with a few lines) please don’t waste my points because i really need this i’ll also give brainliest.
Doreen Schmidt is a chemist
Answer:
that isnt a question but good to know! :)
Step-by-step explanation:
A bag contains 3 red cubes, 4 yellow cubes, and 3 green cubes. You choose a cube without looking, note its color, and put the cube back in the bag. Suppose you do this a total of 80 times. About how many times would you expect to choose a red or yellow cube?
Answer:
is it multiple choice that would help
Step-by-step explanation:
Answer:
56 timesStep-by-step explanation:
Total cubes:
3 + 4 + 3 = 10Number of yellow or red:
3 + 4 = 7Probability of yellow or red:
7/10Same probability 80 times:
80*7/10 = 56Expected number is 56