An F5 tornado is classified as having mean wind speeds greater than 261 mph. In an effort to classify a recent tornado, 20 wind speed measurements were randomly selected from within the path of the tornado. Suppose the mean wind speed for this tornado really is greater than 261 mph. Based on the data, if we fined little to no evidence against the null hypothesis that the mean wind speed is 261 mph, we have made _______________. Group of answer choices

Answers

Answer 1

Answer:

Type 2 error

Step-by-step explanation:

H0 : μ = 261

H0 : μ > 261

By failing to reject H0 ; when the it is false. This means accepting null hypothesis when it is actually FALSE. Then a type 2 error has been committed.

This is different from a type 1 error whereby the null hypothesis is rejected when it is actually TRUE.

Hence, by finding no evidence to reject the null hypothesis during statistical testing when the actual windspeed of an F5 tornado during statistical testing is actually greater than 261 mph.


Related Questions

!!!!I REALLY NEED HELP!!!!!
Which of the following statements uses communicative property of multiplication?
A.8x4=4x8
B.2x(9x5)=(2x9)x5
C.1x10=10
D.7x0=0

Answers

according to me it's both a and b cause the product is not changing even after we are changing the order of the numbers

Hector's income is 78,000 dollars per year (52 weeks).

How much money does he make weekly?

Answers

Answer:

1,500.00

Step-by-step explanation:

Assuming 52 weeks in a year, you would make $1,500.00 per week.

Answer:

$1500

Step-by-step explanation:

Here, the question asks what hector's income per week is.

- Keep in mind that if you are asked what something is per unit, you will most likely need to divide. Example: This problem. See below for answer and explanation.

- If a question asks what something is of  a unit, you will most likely need to multiply. Example: 1/4 of a pizza with 4 slices (1 slice). To solve this, you will have to multiply 1/4 to 4. But never mind this, let's focus at this problem.

The bullet points above essentially explain what you have to do here. To find Hector's income, you have to do 78000/52. The answer to this is 1,500 ($1500).

I hope this helped :)

3. Which of the following expressions is
equivalent to 6(9 + 4)? (Lesson 7.8)

Answers

Answer:

D

Step-by-step explanation:

6(g + 4)

we distribute the 6 to the terms in the parenthesis.

(6 × g) + (6 × 4)

(6g) + (24)

6g + 24

A(x): x²+nx+m Hallar n y m para que A(x) admita raíz -4 y el resto de dividir A(x) por (x-1) sea -20

Answers

-30x should be the correct answer for this

Benita spent 25% of her money on new shoes. The
shoes cost $20. How much money did she have
before buying the new shoes?

Answers

25% is 1/4 of 100% so to get the answer you multiply 20 by 4. 20x4=80. Benita had $80 before buying the shoes

Does 23^-1 (mod 1000) exist? If yes solve it.

Answers

Yes, 23 has an inverse mod 1000 because gcd(23, 1000) = 1 (i.e. they are coprime).

Let x be the inverse. Then x is such that

23x ≡ 1 (mod 1000)

Use the Euclidean algorithm to solve for x :

1000 = 43×23 + 11

23 = 2×11 + 1

→   1 ≡ 23 - 2×11   (mod 1000)

→   1 ≡ 23 - 2×(1000 - 43×23)   (mod 1000)

→   1 ≡ 23 - 2×1000 + 86×23   (mod 1000)

→   1 ≡ 87×23 - 2×1000 ≡ 87×23   (mod 1000)

→   23⁻¹ ≡ 87   (mod 1000)

A recipe for lemonade requires 10 parts of water to
every 6 parts of lemon juice. How many cups of
water should be added to 30 cups of lemon juice
to make the lemonade?


Does anyone know this ??

Answers

Answer:

50 cups water

Step-by-step explanation:

10 cups water     = 6 cups lemon juice

x   cups water     = 30 cups lemon juice

To get from 6 to 30, we needed to do x5, so lets do that for 10 as well.

10x5 cups water = 30 cups lemon juice

50 cups water    = 30 cups lemon juice

Marc is a pharmacist and has documented the number of pills for the last 20 prescriptions he has filled. The data he recorded is in the table below. Assuming that Marc continues to fill prescriptions with number of pills that follow the same proportions, which of the following statements are true? Number of pills Prescriptions 101010 444 202020 444 303030 444 404040 555 505050 333 Total 202020 Choose all answers that apply: Choose all answers that apply: (Choice A) A In the long run, Marc can expect to fill prescriptions with 40 pills more often than he fills prescriptions with 50 pills. (Choice B) B The most likely number of pills in the next prescription that Marc fills is 40. (Choice C) C The expected number of pills in the next prescription that Marc fills is 29.5, point, 5. (Choice D) D The expected total number of pills in the next 20 prescriptions that Marc fills is 680.

Answers

Answer:

All except the one that ends with 680, so SELECT THE FOLLOWING:

✓In the long run, Marc can expect to fill prescriptions with 40 pills more often than he fills prescriptions with 50 pills.

✓The most likely number of pills in the next prescription that Marc fills is 40.

✓The expected number of pills in the next prescription that Marc fills is 29.5.

Step-by-step explanation:

I did it on Khan for an exam.

(10x - 4) ÷ 5 = 20 what is x

Answers

Answer: 10.4

Step-by-step explanation:

(10x - 4) ÷ 5 = 20

             * 5    * 5

10x - 4 = 100

     + 4    + 4

10x = 104

/ 10   / 10

x = 10.4

find the arthmetic and the geometric means of 4 and 9

Answers

Answer:

Step-by-step explanation:

first term (a) = 4

last term (b) = 9

Arithmetic mean (AM)

= ( a + b) / 2

= ( 4 + 9 ) / 2

= 13/2

= 6.5

Geometric mean (GM)

= √a *b

=√4 * 9

=√36

= 6

hope it helps :)

The board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 4.50 minutes. To make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 53 randomly selected calls. The mean wait time was calculated to be 4.94 minutes. Assuming the population standard deviation is 2.10 minutes,

Required:
a. Is there sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence?
b. State the null and alternative hypotheses for the test.

Answers

Answer:

a) The lower bound of the confidence interval is below 4.50 minutes, which means that there is not sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence.

b) The null hypothesis is [tex]H_0: \mu \leq 4.50[/tex], and the alternate hypothesis is [tex]H_a: \mu > 4.50[/tex]

Step-by-step explanation:

Finding the confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.01 = 0.98[/tex], so Z = 2.327.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.327\frac{2.1}{\sqrt{53}} = 0.67[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 4.94 - 0.67 = 4.27 minutes

The upper end of the interval is the sample mean added to M. So it is 4.94 + 0.67 = 5.61 minutes.

a. Is there sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence?

The lower bound of the confidence interval is below 4.50 minutes, which means that there is not sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence.

b. State the null and alternative hypotheses for the test.

Testing if there is evidence to say that the mean wait time for customers is longer than 4.50 minutes, which is the alternate hypothesis.

So the null hypothesis is [tex]H_0: \mu \leq 4.50[/tex], and the alternate hypothesis is [tex]H_a: \mu > 4.50[/tex]

True or False? Please help!!

Answers

True bc it’s anything greater than or equal to that

A coin is flipped 150 times. The results of the experiment are shown in the following table:

Heads Tails
84 66

Which of the following statements best describes the experimental probability of getting heads?

Group of answer choices

It is equal to the theoretical probability.

It is 6% lower than the theoretical probability.

It is 6% higher than the theoretical probability.

The experimental probability cannot be concluded from the data in the table.

Answers

Answer:

The answer would be C. It is 6% higher than the theoretical probability.

Answer:

The correct answer is C. It is 6% higher than the theoretical probability.

Step-by-step explanation:

This is correct, I took the test.

In triangle QRS, what is the approximate measure of angle Q?
OA. 87.7°
O B.93.2°
OC. 96.9°
OD. 45.99

Answers

I I believe the answer is B because A and D are to low

The approximate measure of angle Q will be 93.2°. Then the correct option is B.

What is law of cosine?

Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

a² + b² – 2ab cos C = c²

In a triangle QRS, the length of QR is 21, the length of RS is 32, and the length of SQ is 23.

Then the approximate measure of angle Q will be given as,

RQ² + SQ² – 2 × SQ × RQ × cos Q = RS²

    21² + 23² – 2 × 23 × 21 × cos Q = 32²

                 441 + 529 – 966 cos Q = 1024

                           970 – 966 cos Q = 1024

                                      966 cos Q = – 54

                                              cos Q = – 54 / 966

                                              cos Q = – 0.0559

                                                     Q = 93.2°

The approximate measure of angle Q will be 93.2°.

Then the correct option is B.

Learn more about law of cosines here:

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Triangle RST was dilated with the origin as the center of the dilation to create triangle R'S'T'. The triangle was dilated using a scale factor of 34.

The lengths of the sides of triangle RST are given.

Enter the lengths of the sides of the triangle R'S'T' below.
(Decimal values may be used.)


RS=8 units

R'S'=
units

ST=10 units

S'T'=
units

RT=12 units

R'T'=
units

NO SCAMMERS ALLOWED

Answers

ANSWER: R=6

S= 7.5

T=9

Flip two coins 200 times how many times will coins match

Answers

50 times(Theoretical probability)[tex]\frac{1}{2}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex]200 x [tex]\frac{1}{4}[/tex] = 50Please let me know if I am wrong.

Answer:

in all about 70

Step-by-step explanation:

Suppose that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals are normally distributed with a mean of 3.3 unitsmL. Suppose also that exactly 98% of healthy individuals have TSH levels below 5.9 unitsmL. Find the standard deviation of the distribution of TSH levels of healthy individuals. Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal plac

Answers

Answer:

The standard deviation of the distribution of TSH levels of healthy individuals is of 1.2658 units/mL.

Step-by-step explanation:

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 3.3 units/mL

This means that [tex]\mu = 3.3[/tex]

Suppose also that exactly 98% of healthy individuals have TSH levels below 5.9 units/mL.

This means that when [tex]X = 5.9[/tex], Z has a pvalue of 0.98. So Z when X = 5.9, has a pvalue if 0.98, that is, Z = 2.054. We use this to find [tex]\sigma[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.054 = \frac{5.9 - 3.3}{\sigma}[/tex]

[tex]2.054\sigma = 2.6[/tex]

[tex]\sigma = \frac{2.6}{2.054}[/tex]

[tex]\sigma = 1.2658[/tex]

The standard deviation of the distribution of TSH levels of healthy individuals is of 1.2658 units/mL.

1
1 unit
Area of the rectangle:
Area of the triangle:
Area of the figure:
O square
units
square units
square units

Answers

The picture isn’t loading

how to write 1 896 025
in words​

Answers

Answer:

one million eight hundred ninety-six thousand twenty-five

one million eight hundred ninety-six thousand twenty-five


PLACE VALUE
1- millions place
8- hundred thousands place
9- ten thousands place
6- thousands place
0- hundreds place
2- tens place
5- ones place

What is the value of x?
30
v
O 45
T
(3x) °
O 55
-40
R
O 60
w
Intro

Answers

Answer:45

Step-by-step explanation:

The value of x by the given data is 190/3 or 63.33

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The angles between the lines

Now,

To find the value of x, you need to use the fact that the sum of angles in a triangle is equal to 180°1. This means that:

30° + (3x)° + (-40)° = 180°

Simplifying, we get:

(3x)° - 10° = 180°

Adding 10° to both sides, we get:

(3x)° = 190°

Dividing both sides by 3, we get:

x = 190/3

Therefore, by algebra the answer will be 190/3 or 63.33.

More about the Algebra link is given below.

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Find the value of x.

Answers

Answer:

x = 33

Step-by-step explanation:

Like the previous question we are going to imagine that the only angle there is angle "x"

Angle "x" is now an inscribed angle and it's intercepted arc has a measure of 66 degrees.

Now remember that an inscribed angle is equal to half of its intercepted arc.

This means that x = half of 66

[tex]\frac{66}{2} =33[/tex]

Hence, x = 33

What is the mean of the data set below?12, 11, 14, 14, 14, 12, 7

Answers

Mean is when you add all the numbers up and divided it by how many number there are in the data set...
So 7+11+12+12+14+14+14=84
There is 7 numbers in the data set...
So 84/7=12
12 is your mean
Hope this helps! Have a nice day :)

PLEASE HELP
will mark brainliest

Answers

Answer:

Sorry about last time I didnt answer correct hopefully you can forgive me but this one I know 100% its C hope that helps.

The height of a triangle is 2x and the base is x + 7. Write an expression that represents the area of the triangle.

Answers

Answer:

x^2 +7

Step-by-step explanation:

1/2×(x+7)(2x)

2x^2 + 14x/2

2(x^2+7)/2

=x^2 +7

The base and height of a triangle are 9 yards and 10 yards respectively. Find the area of the triangle.

Answers

Answer:

45

Step-by-step explanation:

1/2×9×10

since the formula says half base times height, so therefore

Area =45

A right triangular prism is shown.
6 in.
11 in.
8 in.
What is the volume in cubic inches of the prism? Enter only the number.

Answers

The volume in cubic inches of the prism is 528 cubic inches.

What is volume?

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the Cuboid.

The volume is calculated as:-

V = L  x  W  x  H

V = 6  x  11  x   8  

V = 528 cubic inches

Therefore the volume in cubic inches of the prism is 528 cubic inches.

To know more about Volume follow

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HELP HELP HELP ME OUT PLEASE WHATS THE ANSWER TO THIS YOU'LL GET 50+ BRAINLIEST POINTS PLEASE ANSWER CORRECTLY

Answers

500 people were surveyed.Just add all the numbers...
500 people were surveyed

20 points!! please help me with this :)

Answers

Answer:

The third graph

Step-by-step explanation:

y intecepts at (0, 4) and (0, 12)

the slopes are up 1 over 3 and up 3 over 1

How often should I study math per week?


I usually study every day but that's really tiring for me

I know this isn't the perfect place to put this question but I have no one else to ask sooo

Answers

Step-by-step explanation:

math is all about repetition. the more you do it and use it, the easier it gets. but burning yourself out by putting in to much time is no good either.

there is not a one sized fits all answer, do what's best for you.

Answer:

I'd say 20 minutes to 4 hours, but it really depends on what you're learning. For example, if you're having trouble with a math subject, you may want to divide it in half and practice a little each day.

Step-by-step explanation:

Type your answer and describe how
you found the answer
ROSS is a museum tour
guide at the Art Museum.
He charges $35 per person
for a 1 hour tour. He
typically has 54 people on
tours during the week. His
expenses for the week are
approximately
$108.63.
What is the amount of
profit that Ross will make?

Answers

Answer:

Ross's profit it 1,781.37

Step-by-step explanation:

$35 per person and 54 people= 35x54=1890

Profit= the amount of money he makes after his expenses.

1890-108.63=1781.37

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