A food-protection agency counts the number of insect heads found per 100-gram batch of wheat flour. The researchers have 500 batches, and they want to know whether the frequency of insect heads in batches follows a distribution called a Poisson distribution. To generate the expected frequencies of batches with different numbers of insect heads under a Poisson distribution, they had to estimate the mean number of insect heads per batch from the data. The 500 batches included at least 5 batches having 0, 1, 2, 3, or 4 insect heads. No batches had more than four heads. Given this information, there are_____classes (k).

Answers

Answer 1

Answer:

The correct answer is k = 5.

Step-by-step explanation:

The Chi-square goodness of fit test would be used to determine whether the frequency of insect heads in batches follows a distribution called a Poisson distribution.

The hypothesis for the test can be defined as follows:

H₀: The frequency of insect heads in batches does not follows a Poisson distribution.

Hₐ: The frequency of insect heads in batches follows a Poisson distribution.

Assume that the significance level of the test is, α = 0.05.

The Chi-square test statistic is given by:

[tex]\chi^{2}=\sum\limits^{k}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}[/tex]

It is provided that the 500 batches included at least 5 batches having 0, 1, 2, 3, or 4 insect heads. No batches had more than four heads.

So, the number of classes or categories are, k = 5.

Thus, the correct answer is k = 5.


Related Questions

find a formula for the nth partial sum of each series 4+(4/3)+(4/9) and use it to find the series’ sum of the series converges.

Answers

Answer:

We can see that:

a₀ = 4

a₁ = 4/3

a₂ = 4/9.

We easily can see that the n-th therm of this will be:

aₙ = 4/3^n.

Now, the denominator increases as n increases, then for a really large n, aₙ will tend asymptotically to zero. This means that this summation converges.

We can write this summation as:

4*∑(1/3)^n.

The sum for the first N-th therms is:

We know that for a summation:

1 + r + r^2 + r^3 + ... + r^N = (1 - r^(N + 1))/(1 - r)

4 + 4*(1/3) + 4*(1/3)^2 + ... + 4*(1/3)^N = 4*( 1 - (1/3)^(N + 1))/(1 - (1/3))

Now, for the complete sum we have that:

n = {0, 1, 2, ...}

We know that for a summation:

∑a*r^n

with n = {0, 1, ...}

the sum is = a/(1 + r).

in this case we have:

a = 4, r = 1/3.

Then the sum is:

S = 4/(1 - 1/3) = 4/(2/3) = 3*2 = 6

why is y=4 not a literal equation

Answers

Answer: y=4 is not a literal equation due to it being a answer to problem, and also because it onmy has y as the only variable that appears. A literal equation is x2+2y=1 because it contains more then one distant variable while y=4 doesn’t, it only shows y.

I hope this helps!

A literal equation is x^2 + 2y = 1 because it contains more then one distant variable while y = 4 doesn’t, it only contian y.

What does it mean to solve an equation?

An equation represents equality of two or more mathematical expression.

When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).

A Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

A literal equation is x^2 + 2y = 1 because it contains more then one distant variable while y = 4 doesn’t, it only contian y.

Therefore, y=4 is not a literal equation because it has y as the only variable that appears.

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Which two numbers add to -10 and multiply to 9

Answers

Answer:

The two numbers are negative 1 and negative 9 which is -1 and -9

Help with 50-52 pleaseeeee ASAP

Answers

Answer:  -2

Step-by-step explanation:  

Flip the equation around and subtract 52-50.

The answer will be 2 so put a negative sign in front since the larger number is being subtracted.

(sorry if this explanation sucks i'm not that good at explaining things)

A pharmaceutical sales representative gets paid $50,000 annually plus
3.5% commission on total sales. This year he sold $420,000 in
pharmaceuticals. What are his annual total earnings?

Answers

100% = $420,000

3.5% = 3.5/100 × 420,000

= $ 14,700

Commission he earned = $14,700

Annual total earnings= $50,000 + $14,700

= $ 64,700

Answer:

14,500

Step-by-step explanation:

I need to find the missing angles of this triangle

Answers

Answer:

it is 90 degrees

Step-by-step explanation:

All you have to do is add the sides that you know and triangles total is 180 so add 32+58 and u get 90 degrees then u will have to subtract 180 from 90 and it equals 90 which is your missing angle

A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 2 in a thousand. Identify the type I error for the test.
A. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand.
B. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.
C. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand.
D. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually greater than 2 in a thousand.

Answers

Answer:

B. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand

Step-by-step explanation:

The type I error is rejection of true null hypothesis.

In the given scenario our hypothesis are

Null hypothesis: The proportion of Americans that have seen a UFO is equal to 2 in a thousand.

Alternative hypothesis: The proportion of Americans that have seen a UFO is less than 2 in a thousand.

Type I error is the rejection of true null hypothesis so, in this case type I error is rejection of claim  that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.

Some teenagers collected trash for a beach clean-up. The data for the number of pounds of trash collected by each teenager are shown below.

26, 26, 21, 22, 20, 25, 35

What is the range of the data?

Answers

Answer:

D. 15 pounds

Step-by-step explanation:

35-20=15

The range of the data that represents the number of pounds of trash collected by each teenager is 15.

What is the range of a data set?

The range is the difference between the Maximum value of the data set and the Minimum value of the dataset. Therefore, we can write the range as,

Range = Maximum value of the data set - Minimum value of the dataset

Given the data for the number of pounds of trash collected by each teenager as 26, 26, 21, 22, 20, 25, and 35.

Now, from the data, the Maximum value of the data set is 35 and the Minimum value of the dataset is 20. Therefore, we can write the range of the data set as,

Range = Maximum value of the data set - Minimum value of the dataset

          = 35 - 20

          = 15

Hence, the range of the data that represents the number of pounds of trash collected by each teenager is 15.

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How would you graph y = x - 7

Answers

the y coordinate is at 0,-7 and then just go up one over one to the right
Put the y first and then you would go left 7 for x i think

There are 60 animal exhibits at the local zoo. What percent of the zoo's exhibits does each animal class represent?​

Answers

Answer:

30+15+12+3=  60

for mammal 30/60=0.50%

reptile 15/60=0.25%

fish  12/60= 0.20%

bird 3/60=0-05%

i hope that helps

There’s a cat on the tree! Joe puts a 13-foot ladder against the tree so that its top end is exactly where the cat is at. The bottom of the ladder is 5 feet from the base of the tree. How high is the cat from the ground?

Answers

Answer:

12 feet

Step-by-step explanation:

The Census Bureau wants to conduct a survey to determine the percentage of adults that buy clothing online. How many adults do they need to survey in order to be confident that the sample proportion is in error by no more that 2 percentage points.

Answers

Answer and explanation:

Please find attached answer and explanation

Please help ASAP.
Will mark brainliste

Answers

Answer:

i think its c but it could also be d sorry if im wrong T-T

Step-by-step explanation:

Decimal expansion for 8/11

Answers

Answer:

0.72

Step-by-step explanation:

Using the following conversions between the metric and U.S. systems, convert the measurement. Round your answer to the nearest tenth as needed

There are 8 fluid ounces in a cup, 2 cups in a pint, 2 pints in a quart,
and 4 quarts in a gallon.

1L ~ 0.26 gallons
9 fl oz _____ mL

Answers

Answer:

266.162 ml

Step-by-step explanation:

Evaluate this expression: 39 ÷ (2 + 1) - 2 × (4 + 1).

Answers

Answer:

9.5

Step-by-step explanation:

here's my work

An expression is defined as a set of numbers, variables, and mathematical operations. The solution for the expression  39 ÷ (2 + 1) - 2 × (4 + 1) is 3.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Using the rule of BODMAS the solution for the expression  39 ÷ (2 + 1) - 2 × (4 + 1) is,

39 ÷ (2 + 1) - 2 × (4 + 1)

=  39 ÷ (3) - 2 × (5)

= 13 - 2  × (5)

= 13 - 10

= 3

Hence, the solution for the expression  39 ÷ (2 + 1) - 2 × (4 + 1) is 3.

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need quick aaaaaaaaaaaaa

Answers


5.0 x 10^4 < answer

Answer:

5.0 x 10^4

did the thing this is right

2. How far does light travel in water in 5.0 X
102 seconds, if the speed of light in water is 3
108 m/s?

Answers

It travels 3637474848362.626 miles a second.

what equation is modeled by the graph below?

Answers

Answer:

B. -5/12

Step-by-step explanation:

Answer:

B.5/12

Step-by-step explanations:

Question 61 point)
Chip earns a base salary of $500 per month as a salesman. In addition to the base salary, he earns $100 per product that he sells. If his
goal is to earn $5000 per month, how many products does he need to sell?

Answers

45 I think is the answer

working through this one. An airplane cuts through the morning sky. For every 1,000 feet that it climbs, the outside temperature drops 20 degrees Fahrenheit What is the rate of temperature change in degrees Fahrenheit per foot? In the following activity, you'll use what you know about dividing rational numbers to find the solution. Complete the steps below to answer the question. write the change in elevation and the temperature as rational number.​

Answers

Answer:

1 degree per 50 ft

Step-by-step explanation:

1000÷20 = 50

The radius of a circle is 2 inches. What is the circle's area?

Answers

Answer:

A= 12.57 inches squared

Step-by-step explanation:

The formula for the area of a circle is A=πr2. Substitute 2 for r, square it, and multiply it by pi (3.14.) The answer is 12.57 inches squared.

Answer:

[tex]\boxed {\tt a\approx 12.57 \ in^2}[/tex]

Step-by-step explanation:

The area of a circle can be found using the following formula.

[tex]a= \pi r^2[/tex]

The radius of the circle is 2 inches.

[tex]r= 2 \ in[/tex]

Substitute the value into the formula.

[tex]a=\pi ( 2 \ in)^2[/tex]

Evaluate the exponent.

(2 in)²= 2 in * 2 in = 4 in²

[tex]a= \pi(4 \ in^2)[/tex]

Multiply.

[tex]a=12.5663706 \ in^2[/tex]

Round to the nearest hundredth. The 6 in the thousandth place tells us to round the 6 to a 7.

[tex]a\approx12.57 \ in^2[/tex]

The area of the circle is about 12.57 square inches.

i need help on this question this is what i need help with

416+ 523⎯⎯⎯⎯⎯⎯⎯⎯⎯

Answers

Answer:

416+523=939

Step-by-step explanation:

can i pls get a brainlieast for this and a thank you pls and a 5 stars

Answer:

9 3/9

Step-by-step explanation:

5 1/5- 1 3/4 fractions

Answers

The answer to this equation is 3 45/100 or 3 9/20

Answer:

3 9/20

Step-by-step explanation:

first find a common demonator and change the denomators and what ever you did to the bottom you do to the top, then subtract them.

I will give brainliest :D

Which equation matches this scenario?

A family buys 8 tickets to a show. They also pay a $5
parking fee. They spend $61 to see the show.

• 5x+8=61
• 61+8x=5
• 8+5x=61
• 8x+5=61

Answers

8x+5=61 is the answer.

Answer: 8x + 5= 61

Step-by-step explanation: x represents the cost of one ticket for the show, 8 is the amount of tickets, 5 is the extra fee, 61 is the total.

Kayla wants to know if she can afford the two sweaters. (which are $20.75 and $34.95) Given that $34.95, mentally add $20.75 plus $35 and the sum gives her $55.75. How will Kayla have to compensate to get the exact sum of the two prices?

Answers

Answer:

I think she will need to divide or subtract to get the exact sum of the two prices .

Step-by-step explanation:

Nellie purchased 6.5 pounds of strawberries for $12.87. Calculate the cost of a single pound. (Round to the nearest tenth or cent when necessary)

Answers

Answer:

The answer is $1.98.

Step-by-step explanation:

The butterfly method shows how to do this. It is 12.87 over 6.5 equals x over 1. Cross-multiply to get 6.5x = 12.87. Divide both sides by 6.5 to get x = 1.98.

Find the perimeter of the figure.
7 mi
7 mi

Answers

Answer:

28mi

Step-by-step explanation:

The shape given is a square because all the internal angles are the same. Also, all the sides are equal;

   The perimeter of a square is given as;

          = 4L

Where L is the dimension of the sides

L in this problem is 7mi

Input the parameter and solve;

            Perimeter  = 4  x  7 = 28mi

Ms. Smith bought a 5 pound bag of candy for her 6 grade classroom. She gave away 2 pounds of candy to her students during the first unit of
instruction and ate 6 ounces of candy during planning.
How many ounces of candy does Ms. Smith still have in her bag?
Note: (1 pound = 16 ounces)
A 38 ounces
o
B. 42 ounces
O c. 48 ounces
D. 54 ounces

Answers

Answer:

42 ounces or B

Step-by-step explanation:

5 pounds - 2 pounds=3 pounds

3 pounds=48 ounces

48 ounces-6 ounces=42 ounces

What is the greatest whole number that rounds to 2,800 when rounded to the nearest​ hundred? The least whole​ number?

Answers

Answer:

The greatest is 2,799

The lowest is 2,750

Step-by-step explanation:

Answer: The greatest whole number: 2799

The least whole number: 2750

Step-by-step explanation: I just went by the rule five or more round-up.

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