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Dmitrij [34]
3 years ago
9

Experiments on learning in animals sometimes measure how long it takes mice to find their way through a maze. The mean time is 1

8 seconds for one particular maze. A researcher thinks that a loud noise will cause the mice to complete the maze faster. She measures how long each of 10 mice takes with a noise as stimulus. The appropriate hypotheses for the significance test are (a) $$H_0: \mu = 18; H_a: \mu \neq 18.$$ (b) $$H_0: \mu = 18; H_a: \mu > 18.$$ (c) $$H_0: \mu < 18; H_a: \mu = 18.$$ (d) $$H_0: \mu = 18; H_a: \mu < 18.$$ (e) $$H_0: \overline{x} = 18; H_a: \overline{x} < 18.$$
Mathematics
1 answer:
Nuetrik [128]3 years ago
8 0

Answer:

attached

Step-by-step explanation:

attached

Download docx
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Find the interquartile range for a data set having the five-number summary: 3.4, 10.8, 16.7, 23.1, 31.5
natita [175]

.Answer:

D. 12.3

Step-by-step explanation:

Arrange the data in increasing order

3.4, 10.8, 16.7, 23.1, 31.5

⇒This is an odd set of numbers, to find the interquartile range you include the median in both quartiles.

Locate the median/center value

3.4, 10.8, 16.7, 23.1, 31.5

Find lower half and find the median

lower half values⇒3.4, 10.8, 16.7

Median=Q1=10.8

Find the upper half and find

upper half= 16.7,23.1, 31.5

median= 16.7,23.1,31.5

Q3=23.1

Interquartile range=Q3-Q1

23.1-10.8=12.3

5 0
3 years ago
A convex polygon has only the vertices A, B, C, D, and E. What is the sum of the measures of the interior angles of this polygon
kolezko [41]
The sum of the measures interior angles is (n-2)*180 which is equal to 540.
6 0
4 years ago
1. A retirement account is opened with an initial deposit of $8,500 and earns 8.12% interest compounded monthly. What will the a
Rudik [331]

Answer:

Part A) \$42,888.48  

Part B) A=\$22,304

Part C) The graph in the attached figure

Step-by-step explanation:

Part A) What will the account be worth in 20 years?

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=20\ years\\ P=\$8,500\\ r=0.0812\\n=12  

substitute in the formula above  

A=8,500(1+\frac{0.0812}{12})^{12*20}  

A=8,500(1.0068)^{240}  

A=\$42,888.48  

Part B) What if the deposit were compounded monthly with simple interest?  

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=20\ years\\ P=\$8,500\\r=0.0812

substitute in the formula above

A=8,500(1+0.0812*20)

A=\$22,304

Part C) Could you see the situation in a graph? From what point one is better than the other?

Convert the equations in function notation

A(t)=8,500(1.0068)^{12t} ------> equation A

A(t)=8,500(1+0.0812t)  -----> equation B

using a graphing tool  

see the attached figure  

Observing the graph, from the second year approximately the monthly compound interest is better than the simple interest.

5 0
3 years ago
The value of the expression when t-32 degrees is what degrees<br>​
GaryK [48]

Complete Question:

The temperature doubled.  Evaluate when t = 32 degrees.

The value of the expression when t = 32 degrees is  degrees

Answer:

64 degrees

Step-by-step explanation:

Given

t = 32

Required

Determine the value of t when it doubles

To do this, we simply multiply the current temperature by 2.

So:

t = 32 becomes

t = 32 * 2

t = 64

<em>Hence, the temperature when it doubles is 64 degrees</em>

7 0
3 years ago
What is the volume of the tissue paper in the packaging box?
nalin [4]
THe volume of the larger box is 2.1^3 times that of the ssmaller one

So Volume larger = 24 * 2.1^3 =  222.264  cm^3

Therfore volume of the tissue paper = 222.264 - 24 = 198.264 cm^3 Answer
5 0
4 years ago
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