Complete Question
It is known that a particular laboratory task takes the average person 2.5 seconds (the variance is not known). A researcher was interested in whether older people are slower (take longer) on this task. The researcher tested 30 randomly selected 80-year-olds. Their mean time was 2.7 seconds, with an estimated population standard deviation of 1.4 seconds. What should the researcher conclude? (Use the .05 significance level and use the five steps of hypothesis testing.)
Answer:
The researchers conclusion is
There is no sufficient evidence to show that older people are slower at the laboratory task
Step-by-step explanation:
From the question we are told that
The mean time is [tex]\mu = 2.5 \ seconds[/tex]
The sample size is n = 30
The sample mean is [tex]\= x = 2.7 \ seconds[/tex]
The standard deviation is [tex]\sigma = 1.4 \ seconds[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu = 2.5[/tex]
The alternative hypothesis is [tex]H_a : \mu > 2.5[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{2.7 - 3 }{ \frac{1.4}{\sqrt{30} } }[/tex]
=> [tex]z =0.78[/tex]
From the z table the area under the normal curve to the right corresponding to [tex]z =0.78[/tex] is
[tex]p-value = P(Z > 0.78) = 0.2177[/tex]
From the value obtained we see that the p-value > [tex]\alpha[/tex]
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the older people are slower at the laboratory task
Representative money has value because:
A)it is assigned value by a government.
B) it can be used only for food or shelter
C) it can be exchange for specific goods.
D) it is made of a valuable material.
Answer:
it can be exchange for specific goods
Step-by-step explanation:
jus did it
Representative money has value because it is assigned value by a government. Option A is correct.
Representative money is defined as money a introduced or produced by the government according to physical commodities such as gold the respective government has.
Here,
Option A) states that representative money is assigned by the government.
it's true because no other body has the authority to introduce money.
Options B, C, and D are false statements because they can be used in anywhere within the boundary and for any goods and services. And it is made up of specific material.
Thus, Representative money has value because it is assigned value by a government.
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how many pennies in a dollar
Answer:
100
Step-by-step explanation:
100 pennies are in a dollar
Answer:
100 pennies are in a dollar.
Step-by-step explanation:
a penny is one cent so to get a dollar you have to have 100 pennies.
The equation y=3x-4 can be written using function notation
Answer: True
f(x)=3x+4
Step-by-step explanation:
Help please!! Will give brainliest!!
Answer: the correct letter is b and if i dont get it right im sorry :(
Step-by-step explanation: I really do wana help sorry if this is wrong. :(
What is the slope of the line that contains the points (1,-1) and (-2,8)
Find the unit rate. Round to the nearest hundredth, if necessary.
$370 for 12 ft2
Answer:
30.80
Step-by-step explanation:
$370/12ft^2
8x + 10y = 8
X = -y
Solve the system by substitution
Answer:
Step-by-step explanation:
X = -4 , Y = 4
An online toy distributor carries several types of vinyl figurines. For one particular character model, the business managers are trying to determine what price will result in the best sales of the figurine. The revenue, cost, and profit functions for this figurine, based on price, are represented on the graph. Using the graph, which price should result in the maximum profit for the sales of this figurine?
Answer:
$34.00
Step-by-step explanation:
The solution is : Kami sold 28 large figurines.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
from the given information, we get,
Let x represent the number of large figurines that Kami sold.
Let y represent the number of small figurines that Kami sold.
This month kami sold 70 figurines in 2 sizes.
This means that
x + y = 70 - - - - - - - - - - 1
The large figurines sold for $12 each and the small figurines sold for $8 each. The amount of money he received from the sales of the large figurines was equal to the amount of money he received from the sales of the small figurines. This means that
12x = 8y
y = 12x/8
y = 1.5x
Substituting y = 1.5x into equation 1, it becomes
x + 1.5x = 70
2.5x = 70
x = 70/2.5
= 28
y = 1.5x
= 1.5 × 28
= 42
Hence, The solution is : Kami sold 28 large figurines.
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Need help due today in 2:00pm please help me will mark the brainiest please
Answer:
-5 = x and 9 = y
HELP THIS IS HARD FOR ME I WILL GIVE POINTS
Answer:
x = 7\2
Step-by-step explanation:
-6x-4x = -15-20
-10x = -35
x = 7\2
Hope this helps you.
Mark as Brainliest please.
2. Joe went the video game store. Normally, each game costs $60. However,
the store was having a sale of 15% off all games.
Part A: If Joe buys 2 games, how much money does he save?
(1 point)
Part B: Joe ends up spending $153 on games. How many games did he buy? (1
point)
Answer:
A= $18 B=3
Step-by-step explanation:
He gets $9 off each game. 51 multiplied by 3 is $153. I hope this helps!! Please mark me brainliest!
What's 84 divided by 10 1/5? Thanks.
Answer:
8.23529412
Step-by-step explanation:
Do long division to get the answer as simple as that!
Answer:
168
Step-by-step explanation: (10 1 ÷5) ÷ 84
find the slope of a line parallel to x-y=18
Answer:
Mparallel = 1
Step-by-step explanation:
Hope this helps!
EASY QUESTION #2 Ken has read 35 pages of a 120-page book, 53 pages of a 175-page book, and 37 pages of a 155-page book. Part B: What percent of total pages HAS Ken read?
Answer:
I think it is 125/450=x/100
I'm not sure but i think so, hope this helps!
Step-by-step explanation:
$22(1 + 0.07)=
h
Your answer
Answer:
21.5
Step-by-step explanation:
HELP, Please
Which statement is true about this radical function?
f(x)=-√(x+6)
A. As x approaches positive infinity, f(x) approaches positive infinity.
B. As x approaches negative infinity, f(x) approaches positive infinity.
C. As x approaches positive infinity, f(x) approaches negative infinity.
D. As x approaches negative infinity, f(x) approaches negative infinity.
Answer:
C
Step-by-step explanation:
As x approaches positive infinity, the negativity of f(x) increases.
you can try by putting values 5 and 10 into x and notice how f(x) approaches negative infinity
As x approaches positive infinity, f(x) approaches negative infinity , Option C is the answer.
What is a Function ?Function is a mathematical statement that links two variables m a dependent and an independent variable with each other.
It is given that
f(x) = - [tex]\rm \sqrt{x+6}[/tex]
as x----- > ∞ y ---->- ∞
as x -----> - ∞ y----> imaginary axis
Therefore , As x approaches positive infinity, f(x) approaches negative infinity , Option C is the answer.
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HELPPP MEEEEEEEEEE!!!
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Slope m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{3}{2}[/tex]
Two less than 3/2 of a number X is no more than 5 1/2
Answer:
[tex]\frac{3}{2} x-2\leq 5\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{3}{2} x-2\leq 5\frac{1}{2}[/tex] is the equation in symbols. First, to find 3/2 of x you must multiply them together. Then to find 2 less than that you must subtract 2 from [tex]\frac{3}{2}[/tex]x. Finally, if this is no more than 5 1/2 then the less than or equal to symbol must be used.
2(x – 9) = 10x + 11
Help
Answer:
exact form: -28/8
decimal form: -3.625
mixed number form: -3 5/8
Answer:
x = -3.625
Step-by-step explanation:
Natalie buys a basketball for $25.57 and an air pump for $15.61. How much change will she receive if she pays for both items with a $50 bill?
Answer:
[tex]Change = \$8.82[/tex]
Step-by-step explanation:
Given
[tex]Basketball = \$25.57[/tex]
[tex]Air\ Pump = \$15.61[/tex]
[tex]Amount = \$50[/tex]
Required
Determine the change received
First, we need to calculate the total amount spent
[tex]Total = \$25.57 + \$15.61[/tex]
[tex]Total = \$41.18[/tex]
This implies that Natalie pays a total of $41.18
Next, we calculate the change as thus:
[tex]Change = Amount - Total[/tex]
[tex]Change = \$50 - \$41.18[/tex]
[tex]Change = \$8.82[/tex]
Hence, the change is $8.82
IF UR GOOD IN GEOMETRY THIS QUESTION IS FOR YOU !! PLEASE HELP I SUCK AT MATH !
Answer:
1/2
Step-by-step explanation:
France Under Louis XVI
Could approve taxes Response area Response area
The Estates General
Response area Response area Response area
Response area Response area Response area
Characteristics of the First Estate Characteristics of the Second Estate Characteristics of the Third Estate
Response area Response area Response area
Response area Response area Response area
Response area Response area Response area
Response area Response area Response area
Privileges of the First and Second Estate leave blank Changes wanted by the Third Estate
Response area leave blank Response area
Response area leave blank Response area
blank Response area
New constitutionShare of political powerAristocracyArtisans and workersCalled by Louis for 1789ClergyCould advise kingOne vote per delegateOne vote per estateFood shortagesHigher clergy are noblesLast met in 1614Lesser noblesMet at VersaillesNearly bankruptNot taxedOwned much landPaid taxesPeasantsRich nobles held all high officesDelegates high clergyRich and powerful noblesTax everyoneUnemploymentWealthy middle classNot taxedNot taxedTook part of peasants' production
PreviousReview
Answer:
thx
Step-by-step explanation:
The temperature is 5° below zero the temperature falls 15° what is the temperature now
Answer: -20° is your answer
Step-by-step explanation:
When taking away a negative you must add the two numbers and when you're adding you subtract ❤
-Noxily
The value of a professional basketball player's autograph rose 20% in the last year. It is now worth $276.00. What was it worth a year ago?
Answer:
The answer is $221
Step-by-step explanation:
$276×.20=55.2
$276-55.2 = $220.8 roundup by $221
7. One day in Mayville, the temperature went from -11F at 4 AM to 28°F at 2 PM. How many degrees did the temperature rise?
Answer:
23
Step-by-step explanation:
*****WILL MARK BRAINLIEST PLEASE HELP******
Answer:
C
Step-by-step explanation:
The unit rate for this line is when the x value is 1. The unit rate is 1 : 0.5.
I Hope That This Helps! :)
The earth travels one full rotation around the sun in approximately 365.25 days. How many minutes does it take for the earth to travel one full rotation around the sun? Show your work. Make sure to include units in your answer.
Answer:
525960 minutes
Step-by-step explanation:
365.25 days to hours
365.25 x 24 = 8766 hours
8766 x 60 = 525960 minutes
PLS MARK BRAINLIEST
Answer:
Unless im misunderstanding the question there are 1440 minutes a day you can find this by 24/0.60 then you take that 1440 by 365.25 and you'll get 525,960 minutes
PLEASE HELP ME DUE TODAY
If 1 cm equals 1 million km in a scale drawing, how far in km would 217 cm represent?
Answer:
217 million km
Step-by-step explanation:
1 cm = 1 m. km
217 cm = 217 m. km
Quickly answer please
what is the equation of the line that has a slope of 0 and passes through the point (4,-3)?