Answer:
E. No, it is not appropriate because the distribution of the population is skewed and the sample size is not large enough to satisfy the condition that the sampling distribution of the sample mean be approximately normal.
Step-by-step explanation:
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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
Standard deviation larger than the sample mean means that the distribution is skewed.
By the Central Limit Theorem, when the distribution is skewed, normality is assumed for samples sizes of 30 or higher. In this question, the sample is of 18, which is less than 30, so the hypothesis test is not appropriated, and the correct answer is given by option E.
The diameter of a spindle in a small motor is supposed to be 5.8 millimeters (mm) with a standard deviation of 0.14 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 12 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 5.88 mm. What are the null and alternative hypotheses (H0 = null hypothesis and Ha = alternative hypothesis)?
A. H0: Mean= 5 and Ha: Mean is not equal to 5.
B. H0: Mean = 5 and Ha: Mean <5.
C. H0: Mean < 5 and Ha: Mean > 5.
D. H0: Mean = 5 and Ha: Mean > 5.
Answer: A. H0: Mean= 5 and Ha: Mean is not equal to 5.
Step-by-step explanation:
Definitions:
Null hypothesis [tex](H_0)[/tex] is a statement describing population parameters according to the objective of the study. It takes "≤,≥,=" signs. Alternative hypothesis[tex](H_a)[/tex] is a statement opposite to the null hypothesis elaborating population parameters according to the objective of the study. It takes ">, <, ≠" signs.Given: The diameter of a spindle in a small motor is supposed to be 5.8 millimeters.
If the spindle is either too small or too large, the motor will not work properly. so, Mean diameter ≠ 5.8 to work correctly.
i.e. [tex]H_a: \text{Mean}\neq 5.8[/tex]
So, [tex]H_a: \text{Mean =5.8}[/tex]
The required null and alternative hypotheses:
H0: Mean= 5 and Ha: Mean is not equal to 5.
Will give brainless
This is due tomorrow at 12pm
Answer:
The most common rock-forming minerals are quartz, feldspar, mica, pyroxene, amphibole, and olivine. The most reliable way to identify a mineral is by using a combination of several tests. A crystal is a solid in which the atoms are arranged in repeating patterns.
The points (3,h) and (10,1) fall on a line with a slope of
4/7 What is the value of h?
Answer:
h = -3Step-by-step explanation:
Use slope formula:
(1 - h)/(10 - 3) = 4/7(1 - h) / 7 = 4/71 - h = 4h = 1 - 4h = -3Answer:
The answer is h = -3
Step-by-step explanation:
(1 - h)/(10 - 3) = 4/7
(1 - h) / 7 = 4/7
1 - h = 4
h = 1 - 4
h = -3
Richard can make one jewelry box using 88
toothpicks. If Richard has 950 toothpicks. what is
the greatest number of jewelry boxes he can
make?
A 11 B 9 C 10 D 12
Answer:
10
Step-by-step explanation:
Peter was given 40 words to spell to qualify for a prize. He must spell at least 90% of those words correctly. At least how many words should he have to spell correctly to get the prize?
Answer:
He should have to spell at least 36 of these words correctly.
Step-by-step explanation:
40 words.
He must spell at least 90% of those words correctly.
At least how many words should he have to spell correctly to get the prize?
90% of 40. So
0.9*40 = 4*9 = 36
He should have to spell at least 36 of these words correctly.
Which of the following is false about the figure?
a. m CUD = m VUM
b. M AUV + m DUA = 180
c. m MUC - m MUD = mzCUD
d. m PUD + m VUP = m PUM + m_CUA
Answer:
d.
Step-by-step explanation:
Let's examine each statement:
Option A: m<CUD = m<VUM (CORRECT)
Rationale: vertical angles are congruent to each other.
Option B: m<AUV + m<DUA = 180 (CORRECT)
Rationale: angles on a straight line
Option C: m<MUC - m<MUD = m<CUD (CORRECT)
Rationale:
m<MUC = m<MUD + m<CUD
Subtract m<MUD from each side
m<MUC - m<MUD = m<CUD
Option D is FALSE
Rationale:
m<PUD + m <VUP = 180° (angles on a straight line)
m<PUM + m<CUA ≠ 180°
Therefore,
m<PUD + m<VUP = m<PUM + m<CUA IS FALSE.
What is the correct formula to find the sum of the finite geometric series below?
[tex]\displaystyle 2 + \frac{2}{3} + \frac{2}{9} + \ ... \ + \frac{2}{3^6}[/tex]
We are given the Geometric Series:
[tex]2 + \frac{2}{3} + \frac{2}{9} + \frac{2}{27} + \frac{2}{81} + \frac{2}{243} + \frac{2}{729}[/tex]
which can be rewritten as:
[tex]2 + \frac{2}{3} + \frac{2}{3^{2} } + \frac{2}{3^{3}} + \frac{2}{3^{4}} + \frac{2}{3^{5}} + \frac{2}{3^{6}}[/tex]
here, we can see that every term is (1/3) times the last term
Hence, we can say that the common ratio of this Geometric Series is 1/3
Finding the Sum:
We know that the sum of a Geometric Series is:
[tex]S_{n} = \frac{a(r^{n}-1)}{r-1}[/tex]
(where r is the common ratio, a is the first term, and n is the number of terms)
another look at the given Geometric Series tells us that the first term is 2 and the number of terms is 7
plugging these values in the formula, we get:
[tex]S_{n} = \frac{2((1/3)^{7}-1)}{(1/3)-1}[/tex]
[tex]S_{n} = \frac{-1.99}{-0.67}[/tex]
Sₙ = 2.97
Step-by-step explanation:
[tex] \tt2 + \frac{2}{3} + \frac{2}{ {3}^{2} } + \frac{2}{ {3}^{3} } + \frac{2}{ {3}^{4} } + \frac{2}{ {3}^{5} } + \frac{2}{ {3}^{6} } [/tex]
r = [tex]\tt{a_2 \div a_1}[/tex]
r = [tex]\tt{\frac{2}{3} \div 2}[/tex]
r = [tex]\tt{\bold{\frac{1}{3}}}[/tex]
Soo :
[tex] \sf s_n = \frac{a( {r}^{n} - 1) }{r - 1} [/tex]
[tex] \sf s_7 = \frac{2(( \frac{1}{3} ) {}^{7 - 1} - 1) }{( \frac{1}{3} - 1) } [/tex]
[tex] \sf s_7 \approx \bold{ \underline{2.97}}[/tex]
ILL MARK U BRAINLIST IF YOU ARE CORRECT!
Find the distante between B and C
Answer: 13
Step-by-step explanation: subtract 22 from 9
Which graph represents a function with an initial value of 1/2?
Answer:
The initial value is the value of the y-coordinate when the x-coordinate is equal to 0. That is the same to say the value at which the graph intercepts the y-axis. So, you just have to pick the graph whose line intercepts the y-axis at 1/2.
8. Make a prediction for a resting heart rate after 6 hours of
exercise a week
Resting Heart Rate (BPM)
Hours of Exercise per Week
a.) 6
b.) 50
c.) 55
d.) 59
Answer:
the answer is 50!!! it sure is
Which statement is NOT true about this figure?
Select the best answer from the choices provided.
OA. The figure is a cone.
OB. The lateral surface of a cone comes to a point.
OC. There is one circular base.
OD. There is no vertex.
Answer:
od I'd the correct answer
please help with this question i just need the volume
Answer: 4) 49 1/2
5) 15
Step-by-step explanation:
To find volume you must use L x W x H.
4) 3 x 3 x 5.5= V
3 x 3 = 9
9 x 5. 5= 49.5
5) 2 x 2 x 3.75= V
2 x 2= 4
4 x 3. 75 = 15
What would be 12.67 rounded to the nearest tenth.
Answer:
12.7
Step-by-step explanation:
Remember this rule when rounding 5 and below let it go (ex. 12.32 = 12.3) 6 and above give it a shove (ex. 12.47 = 12.5).
PLEASE HELP I WILL GIVE BRAINLIEST
9514 1404 393
Answer:
(C) angles A and B and those corresponding
Step-by-step explanation:
If sides are used to show similarity, at least two sides from each triangle are required. If only two sides are used, then the angle between them must also be shown to be congruent.
A -- has 2 sides, but no angles; (SS) not sufficient
B -- has 2 sides but not the angle between; (SSA) not sufficient
C -- has 2 angles; (AA) sufficient
D -- effectively, one angle; (A) not sufficient
Histogram help fast! Which of the following is a histogram?( look at the photo)
Answer:
B.Step-by-step explanation:
First, we can eliminate answer A. As you should know, answer A is a pie chart as it is a circle and cut into many slices.
Now both answer B and C look similar. They are both a bar graph. So we will come back and look at these later.
Answer D is about math test scores. I have forgotten the name of this graph but I can assure you this is incorrect.
So we are left with B and C. They both are bar graphs, right? Well sort of. Although they look identical, answer B is a histogram. If you look at graph B, you will notice it says age. This shows that there is time between each subject or event. Graph C is a personal question. What kind of pet you have is not directly related to something over time
Therefor the answer has to be B.
PRESS ON THE PHOTO!! ONLY NUMBER 10 PLEASE
Answer:
B: T = ½R
Step-by-step explanation:
From the given graph, we see the following;
When T = 2, R = 4
When T = 3, R = 6
When T = 4, R = 8
When T = 5, R = 10
Looking at those values, we can see a pattern where R is always equal to 2T.
Or T = ½R
Thus, option B is the answer.
Find the area of irregular shapes
So far, we have found area for rectangles, triangles, trapezoids, and circles. An irregular figure is a figure that is not a standard geometric shape. Its area cannot be calculated using any of the standard area formulas. But some irregular figures are made up of two or more standard geometric shapes. To find the area of one of these irregular figures, we can split it into figures whose formulas we know and then add the areas of the figures.
When Ricardo was 9 years old, he was 56 inches tall. By age 12, he had increased his
height by 12%. How tall is he now?
Answer:
He is 62.72 inches tall now
Step-by-step explanation:
the twelve over 100 is the percentage, he increased by 12 percent. and the x over 56 is the new value (x) over the old value. We get 6.72 so we add that to 56 to get 62.72.
Please help I’m unsure of what the answer is
find the measure of the angle theta
Answer:
A. 57.8°
Step-by-step explanation:
Reference angle = θ
Length of hypotenuse = 15
Length of adjacent side = 8
Recall, SOHCAHTOA.
Thus, apply CAH to find θ.
Cos θ = Adj/Hyp
Cos θ = 8/15
θ = Cos^{-1}(8/15)
θ = 57.7690474° = 57.8°
!!!!!!! PLEASE HELP!!!!!
Answer:
You have to do 7x+2+6x+9 Which is 13x+11.
Step-by-step explanation:
Complete the following statement
Like frequency tables, bar graphs provide a visual display of____
Answer:
Data
Explanation:
Like all graphs, a bar graph is a visual display of data and displays categorical data.
Like frequency tables, bar graphs provide a visual display of data.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Categorical data, showing the distribution of the data across different categories or groups.
Bar graphs are particularly useful for comparing the sizes or frequencies of different categories, and they can make it easier to spot patterns, trends, or outliers in the data.
By representing the data visually, bar graphs can also help to communicate the information more effectively to others, allowing people to quickly understand and interpret the key features of the data.
Hence, Like frequency tables, bar graphs provide a visual display of data.
To learn more on Statistics click:
https://brainly.com/question/30218856
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What’s the correct answer answer for this question?
Answer:
A) 2x+4y=2 and -2x+2y=10
Step-by-step explanation:
2(-3)+4(2)=2
-6+8=2
-2(-3)+2(2)=10
6+4=10
One evening Papa John’s sold a total of 33 pizzas topped with pepperoni, sausage, or pepperoni and sausage. There were 29 pizzas that had pepperoni. Of these, 15 also had sausage. How many more pizzas had pepperoni only than had sausage only?
Step-by-step explanation:
So he sold 33.
29 had pepperoni and of these 29, 15 had also sausage. SO first, to find out how many pepperoni pizzas only he sold you have to substract.
29-15= 14
14pepperoni pizzas
15 pepperoni and sausage pizzas.
Now we add 14 + 15 = 29
Now we do 33-29= 4
So the final answer to the question is:
10 pizzas more
PLEASE HELP
The Miller family spent a total of $317.05 hosting a party for their grandparents' 50th wedding anniversary. They spent $48.55 on decorations and $8.95 per person on food.
Which equation could be used to find the number of people (x) at the anniversary party?
A.
48.55 + 8.95x = 317.05
B.
48.55x + 8.95 = 317.05
C.
48.55x − 8.95 = 317.05
D.
48.55 − 8.95x = 317.05
Describe the relationship between the area of a circle and its circumstances
Answer:
[tex]A = \frac{r}{2}C[/tex]
Step-by-step explanation:
Given
Shape: Circle
Required
The area and the circumference (relationship)
This implies that, we write an expression that relates the area and the circumference.
Circumference is calculated as:
[tex]C = 2\pi r[/tex]
Area is calculated as:
[tex]A = \pi r^2[/tex]
The area can be rewritten as:
[tex]A = \frac{2\pi r^2}{2}[/tex]
Further rewrite as:
[tex]A = \frac{r}{2}*2\pi r[/tex]
Recall that:[tex]C = 2\pi r[/tex]
So, the expression becomes
[tex]A = \frac{r}{2}*C[/tex]
[tex]A = \frac{r}{2}C[/tex]
Which is a factor of the whole expression 43x + 10) ?
well i think the answer is 4
i think the expression is supposed to be 4(3x+10)
VX
What is the measure of _c?
148
С
42
90°
42
48
O 42°
O 48°
O 90°
180°
Answer:
48
Step-by-step explanation:
One nice, reliable thing about triangles is that their interior angles will ALWAYS add up to 180 degrees. So, if one angle is 43 degrees and the other angle is 48 degrees, we can see that
180 - 43 - 48 = 89
Now, the tricky part: how to determine which type of triangle this is.
An acute triangle is one in which all interior angles are less than 90 degrees. An isoceles triangle is one in which two of the interior angles are the same, while the third is different. An obtuse triangle is one in which one of the interior angles is greater than 90 degrees. A right triangle is one in which one of the interior angles is equal to 90 degrees.
We distinguish between these different types because they each have useful, but different, properties.
By these definitions, it is clear that the triangle in question is acute.
Elizabeth made a scale drawling of a city of Colorado. The scale of the drawling is 1inch=4 yards.an open space is 17 inches in the drawling. How wide is the actual open space.
Answer:
B
Step-by-step explanation:
Jrkrkr
a company makes carboard cylindrical boxes with a diameter of 10 inches and a height of 8 inches.how many square inches of carboard are needed for each box? Use 3.14 for pi.
Answer:
408.2sq inches
Step-by-step explanation:
Area of the cylindrical box = 2πr(r+h)
r is the radius = diameter/2
r = 10/2 = 5in
h is the height = 8in
Substitute
Area of the cylindrical box = 2(3.14)(5)(5+8)
Area of the cylindrical box = 2 * 3.14 * 5 * 13
Area of the cylindrical box = 408.2sq inches