Penn State extension is interested in comparing the body length southern grass cicadas and citrus cicadas. The extension collected a random sample of 20 southern grass cicadas and found that they have a mean body length of 16.22 millimeters and a standard deviation of 1.34 millimeters. A separate random sample of 20 citrus cicadas resulted in a mean body length of 13.41 millimeters and a standard deviation of .73 millimeters. What is the standard error of the difference parentheses southern grass minus citrus) between the sample means

Answers

Answer 1

Answer:

The standard error between the sample mean is approximately 0.3412

Step-by-step explanation:

The equation for the standard error of a difference in sample mean of equal sample sizes is given as follows;

[tex]SE(\overline x_1 - \overline x_2)={\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]

The given parameters are;

The number of sample of southern grass cicadas, n₁ = 20

The mean body length of the southern grass cicadas, [tex]\overline x _1[/tex] = 16.22 mm

The standard deviation, s₁ = 1.34 mm

The number of sample of citrus cicadas, n₂ = 20

The mean body length of the citrus cicadas, [tex]\overline x _2[/tex] = 13.41 mm

The standard deviation, s₂ = 0.73 mm

[tex]SE(16.22 - 13.41)={\sqrt{\dfrac{1.34^{2} }{20}+\dfrac{0.73^{2}}{20}}} \approx 0.3412[/tex]

The standard error between the sample mean, SE ≈ 0.3412


Related Questions

The height of an object thrown into the air can be modeled by
the h(t) = -16t^2 + 70t + 95, where h(t) is in feet after t seconds.
What is the height of the object after 3 seconds?
A) 161 feet
C) 70 feet
B) 45 feet
d) 171.56 feet

Answers

Answer:

A) 161 feet

Step-by-step explanation:

h(3) = -16(3)² + 70(3) + 95 = 161

Answer:

A)  161

Step-by-step explanation:

h(3) = -16(3²) + 70(3) + 95

= -144 + 210 + 95

= 161

Mr. Linx and Mrs. Lynn both work for the same company, but they do not have the the same hourly wages. Together they make $32.50 per hour. This week, Mr. Linx (x) worked 35 hours, and Mrs. Lynn (y) worked 37 hours. Together, they made $1,172.50.

Answers

Answer:

Mr. Linx wages = x = $15

Mrs. Lynn wages = y = $17.50

Step-by-step explanation:

Mr. Linx wages = x

Mrs. Lynn wages = y

x + y = 32.50 (1)

35x + 37y = 1,172.50 (2)

From (1)

x = 32.50 - y

Substitute x = 32.50 - y into (2)

35x + 37y = 1,172.50

35(32.50 - y) + 37y = 1172.50

1137.5 - 35y + 37y = 1172.50

- 35y + 37y = 1172.50 - 1137.50

2y = 35

y = 35/2

y = 17.50

Substitute y = 17.50 into (1)

x + y = 32.50

x + 17.50 = 32.50

x = 32.50 - 17.50

x = 15

Mr. Linx wages = x = $15

Mrs. Lynn wages = y = $17.50

$10,000 compounded every 2 years with a 10% interest rate. How much will this be worth in 10 years

Answers

$110,000

I got this answer from multiplying 10,000 by 10 then adding 10% of 10,000 (which is one thousand) 10 times, which got me an additional 10,000, and that's how I got my answer. Please comment on this answer and tell me if it is wrong, I really hope it isn't wrong. I also hope this helps you on your way, have a great day!

Pls help !!!!!!!!!!!!!! I’m timed!!!

Answers

Answer:

Step-by-step explanation:

What's the answer to this? ​

Answers

51/16 ................

Answer:

The answer to this equation is 3 3/16

Step-by-step explanation:

PLEASE HELP ME!
In a classroom of 50 students, 30 of them prefer iPads and the rest prefer laptops. what is the ratio of iPads to laptops? Answer in simplest form. If you could, please write out an explanation.

Answers

Answer:

60;40

Step-by-step explanation: 50* 2 = 100

so multiply every thing else by it to  

in simplest form tho itd be 3;2

If the mass of an object is 50Kg and the acceleration is 2 m/s what is the force?

Answers

Answer:

Check pdf

Step-by-step explanation:

Barnacles and corals are two types of animals that live in the ocean. Both animals build a hard layer of calcium carbonate around their soft body parts. What is the MOST LIKELY reason that they build these layers?

Answers

Answer:They do this so they can be safe from predators.

Step-by-step explanation: They make this hard layer so it can help protect the vulnerable soft parts of their body from other fish or mammals.

im giving all my points away

Answers

Answer:  thank u for the points thats kind of u  

Step-by-step explanation: have a nice day buddy

Answer:

I-

Oop-

Step-by-step explanation:

Can someone help me find the volume of this pyramid please?

Answers

9514 1404 393

Answer:

  796.5 cm³

Step-by-step explanation:

The volume of a pyramid is given by the formula ...

  V = 1/3Bh

where B is the area of the base, and h is the height.

Here, the base is a square, so its area is the square of the side length:

  B = (15 cm)² = 225 cm²

Then the volume is ...

  V = (1/3)(225 cm²)(10.62 cm) = 796.5 cm³

PLEASE HELP ASAP

Two lines intersect in the figure.
What is the value of x?

Answers

Answer:

x=17°

Step-by-step explanation:

5x+6=91 (vertically opposite ∠'s equal)

5x= 91-6

5x= 85

x= 85/5

x= 17°

whats the permiter and area of this triangle will mark brainleist?

Answers

Answer:

permiter 68ft

area 204ft²

Step-by-step explanation:

25ft+26ft+17ft=68ft

1/2×17ft×24ft=204ft²

I hope it's help

Write an equation in standard form for the line that has slope 1/3 and passes
through (-2, 8)

Answers

Answer:

        -x + 3y = 26            

Step-by-step explanation:

The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:

                              y - y₁ = m(x - x₁)

m = ¹/₃

(-2, 8)    ⇒   x₁ = -2,  y₁ = 8

Therefore,  the equation of the line which passes through (-2, 8) and with slope of 1/3 in point-slope form:

y - 8 = ¹/₃(x - (-2))

y - 8 = ¹/₃x + ²/₃                   {multiply both sides by 3}

3y - 24 = x + 2                    {subtract x from both sides}

-x + 3y - 24 = 2                     {add 24 to both sides}

-x + 3y = 26

Find the missing number.
19582 = 19000 +_+3

Answers

pancakes 7 it’s 7 pancakes

im just looking for 25/4 (that's a fraction) divided in 3.

Answers

Answer: 2.083
Have a good day :D

Answer:

[tex] \frac{25}{12} [/tex]

Step-by-step explanation:

1) Use this rule: a ÷ b/c = a × c/b.

[tex] \frac{25}{4} \times \frac{1}{3} [/tex]

2) Use this rule: a/b × c/d = ac/bd.

[tex] \frac{25 \times 1}{4 \times 3} [/tex]

3) Simplify 25 × 1 to 25.

[tex] \frac{25}{3 \times 4} [/tex]

4) Simplify 3 × 4 to 12.

[tex] \frac{25}{12} [/tex]

Therefor, the answer is 25/12 and in decimal form it would be, 2.083333.

find the area. Round to the nearest whole number.

Answers

Answer:

23.

the answer is 33. But when i round its 23.

Step-by-step explanation:

A couple decides to keep having children until they have a girl, at which point they will stop having children. They also agree to having a maximum of three children. The table below shows the probability distribution of X=, equals the number of children such a couple would have.
X=# of children 1 2 3
P(X), .5 .25 .25
Given that \mu_X=1.75μ
X

=1.75mu, start subscript, X, end subscript, equals, 1, point, 75 children, find the standard deviation of the children such a couple would have.
Round your answer to two decimal places.
\sigma_X\approxσ
X

≈sigma, start subscript, X, end subscript, approximately equals
children

Answers

Answer:.83

Step-by-step explanation:

Khan academy

From the discrete distribution given, the standard deviation is of 0.83 children.

The distribution is:

[tex]P(X = 1) = 0.5[/tex]

[tex]P(X = 2) = 0.25[/tex]

[tex]P(X = 3) = 0.25[/tex]

The mean is 1.75.The standard deviation is the square root of the sum of the difference squared between each value and the mean, multiplied by it's respective probability.

Hence:

[tex]\sqrt{V(X)} = \sqrt{0.5(1 - 1.75)^2 + 0.25(2 - 1.75)^2 + 0.25(3 - 1.75)^2} = 0.83[/tex]

The standard deviation is of 0.83 children.

A similar problem is given at https://brainly.com/question/24188569

15. B(-2, -9), C(0,-5), D(6,-3), E(4, -7)

Answers

Answer:

BC= 2√5

CD= 2√10

DE= 2√5

BE= 2√10

slope of BC = 2

slope of CD = 1/3

slope of DE = 2

slope of BE = 1/3

Step-by-step explanation:

formula for distance = √(x2-x1)²+(y2-y1)²

formula for slope = (y2-y1)/(x2-x1)

can someone pls help me

Answers

Answer:

+/-11

Step-by-step explanation:

It's plus or minus eleven

HeLP ME Plewse I’m having trouble

Answers

Answer:

1. 324 cm

Step-by-step explanation:

2. 150 cm

Which function is shown in the graph below?

Answers

Answer:

y = (1/2)^x-3 + 1

Step-by-step explanation:

The correct expression of the given graph is y = [tex](1/2)^{x - 3} + 1[/tex]

What is parabola?

A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix). The issue of parabola is intertwined with the topic of conic sections, and all of its principles are discussed here.

In the given figure,

The curve represent the parabola

Since the curve is passing through

(0,9) from the Y axis and touches x axis at infinity

Now we can use hit and trial method to find the exact equation

So we plot the figure one by one

Hence,

we get the correct equation,

y = [tex](1/2)^{x - 3} + 1[/tex]

To learn more about parabola visit:

https://brainly.com/question/29267743

#SPJ2

I need help pls!!!!!!!!!!!!!

Answers

Step 2 cuh esta wrong

can I add a photo here because I don't know how to ask a question in math​

Answers

Answer:

you add a photo by pressing the link button at the bottom and choosing which picture you want

QUICK PLZ HELP RN ASAP

Answers

Answer:

264.69m^2 is the answer I m pretty sure

What kind of fraction will you have when the percent is over 100%

Answers

Answer:

100% means “100 out of 100” — in other words, everything. So when you say you have 100% confidence in someone, you mean that you have complete confidence in them. But a lot of times, percentages larger than 100% are perfectly reasonable.!

Answer:

"Improper Fraction"

Step-by-step explanation:

An improper fraction is a fraction where the numerator exceeds the denominator. When the percent is over 100%, then technically the numerator is exceeding the denominator when the percentage is converted to a fraction.

Example:

110%convert to fraction... [tex]\frac{110}{100}[/tex]simplify... [tex]\frac{11}{10}[/tex]

You can go further by making it a proper fraction but that is beyond the current problem we are solving.

Change 12.39% to a decimal

Answers

Answer:

Step-by-step explanation:

decimal point 2 places that way ==> . decimal point 2 places this way <== . 12.39% = 0.1239

Answer:

0.1239

Step-by-step explanation:

To change a percent to decimal form, move the decimal point to the left two times and as you do it more u can just do it off the top of ur head because it just gets easier

hope this helps chu<3

Select all the statements about the graphs of g (x) - 5 a? and f (x) = x2 that are true.

1. f and g open in the same direction.

2. f and g intersect twice.

3. f and g have the same axis of symmetry.

4. f and g have the same vertex.

5. g is wider than f.

Answers

Answer:

Use photo math, take a picture of the equation, and it will show everything you need to know about it!!!

find the perimeter please ​

Answers

add up all the sides
(3x^2-2x-1) + (x^2+1) + (4x+5)
=4x^2 + 2x + 5

About 32% of the 104 children ate a school picnic ate hamburgers. The rest ate hotdogs. How many children ate hotdogs at the picnic

Answers

Answer: 71 children ate hotdogs at the picnic.

Step-by-step explanation:

Given: About 32% of the 104 children who ate a school picnic ate hamburgers.

The number of children ate hamburger = 32% of (104 children)

= 0.32 x 104

= 33.28 ≈ 33

Thus, the number of children ate hamburger = 33

Number of children ate hotdogs = 104-33 = 71

Hence, 71 children ate hotdogs at the picnic.

10. Lori plans to buy a book for $15.99, a magazine for $3.45, and a
bookmark for $1.99. What is an estimate of the total cost of the items to
the nearest dollar?
A) $9.00
B) $20.00
C) $21.00
OD) $22.00

Answers

Answer:

C

Step-by-step explanation:

Answer:

21 dollars I think
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