The human resources department of an engineering company gives IQ tests to a randomly selected group of new hires every year. They claimed that the mean IQ score of new hires, , from this year is greater than or equal to the mean IQ score of new hires, , from last year. This year, 95 new hires took the test and scored an average of 112.2 points with a standard deviation of 14.0 . Last year, 70 new hires took the IQ test and they scored an average of 117.8 points with a standard deviation of 14.5 . Assume that the population standard deviation of the IQ scores from the current year and the last year can be estimated by the sample standard deviations, since the samples that are used to compute them are quite large. Is there enough evidence to reject the claim of the human resources department, at the 0.01 level of significance

Answers

Answer 1

Answer:

Step-by-step explanation:

Null hypothesis: [tex]\mathbf{H_o: \mu_1 \ge \mu_2}[/tex]

Alternative hypothesis: [tex]\mathbf{H_o: \mu_1< \mu_2}[/tex]

This type of test statistic is a z test statistics

                                                                             1st             2nd

Sample mean x =                                                112.2          117,8

Standard deviation σ =                                       14.0            14.5

Sample size n =                                                    95              70

Point estimate [tex]\bar x_1 - \bar x_2[/tex] =                                                      -5.60

Standard error [tex]\sigma_{x_1-x_2}= \sqrt{\dfrac{\sigma_1^2}{n_1} +\dfrac{\sigma_2^2}{n_2} }[/tex]

                                      [tex]= \sqrt{\dfrac{14.0^2}{95} +\dfrac{14.5^2}{70} }[/tex]                      = 2.2509

Test statistics      [tex]z=\dfrac{x_1 - x_2}{\sigma_{x_1-x_2}}[/tex]    [tex]=\dfrac{112.2- 117.8}{2.2509}[/tex]              = - 2.4878

                                       

P-value = 0.012

No, there is no enough evidence Since p-value is greater than 0.01.


Related Questions

Anyone know how to do this?

Answers

Answer:

They cannot form a triangle.

Step-by-step explanation:

A triangle can only be formed if the sum of the lengths of any 2 sides are greater than the 3rd side. 2 + 7 is less than 15, so this cannot be a triangle.

In an arithmetic sequence (Sn=n^2 -2n) .USE formula (Tn=Sn-Sn-1) to determine Tn​

Answers

Answer:

Tn=-1

Step-by-step explanation:

Please mark as brainliest

The question is in the graph. Please help.

Answers

Answer:

A I think

Step-by-step explanation:

because if you add them up.

Answer:

Aprox. 216 days

Step-by-step explanation:

Add the counts of the green bar(5-10mm) and the brown bar (0-5mm).

The brown is roughly 130 and the green is roughly 80, which is approx 216 days.

If i helped, a brainliest answer would be greatly appreciated!

It cost $5.25 for a bottle of 150 vitamins. if the cost varies directly with the number of vitamins in the bottle, what should a bottle of 250 vitamins cost?
what is the equation o the situation?
Could you please give me the equation and show me how you got it please so I could understand... thanks.

Answers

Answer: $8.75 for 250 vitamins.

Step-by-step explanation:

To find how much each vitamin costs we can divide $5.25 by 150.

5.25/150 = 0.035. So each vitamin is equal to $0.035.

We can then multiply the cost of 1 vitamin by 250.

0.035 x 250 = 8.75 or $8.75.

We can also make an equation for this problem. Let the total cost be equal to y and each vitamin equal to x.

y = 0.035x

So the equation above states that the total cost, y, is the amount of vitamins that are bought.

Can you help me please it has to be harry potter and the philosopher's stone movie

Answers

Answer and Step-by-step explanation:

Divide each side by 2.

x [tex]\geq[/tex] 5

This is the correct answer for getting the x by itself.

#teamtrees #PAW (Plant And Water)

Answer:

4

Step-by-step explanation:

2x10=20

I think...

Use the quotient rule to simplify the expression. Write the expression with positive exponents.

Answers

Answer:

[tex]\displaystyle 4^{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Exponential Rule [Dividing]:                                                                           [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{4^{-4}}{4^{-8}}[/tex]

Step 2: Rewrite

Exponential Rule [Dividing]:                                                                             [tex]\displaystyle 4^{-4 - (-8)}[/tex]Subtract Exponents:                                                                                         [tex]\displaystyle 4^{4}[/tex]

I don’t understand this problem can someone please help !

Answers

Answer:

Step-by-step explanation:

tan 7 = 4.4/x

x = 4.4/ tan 7

x= 35.8 ft

Pleeease help for my exam. Suppose a bag contains 8 silver coins and 2 bronze coins what is the probability of randomly choosing a silver coin not replacing it and then randomly choosing another silver coin??

Answers

Answer: 28/45

Step-by-step explanation:

Find the circumference of the circle.

Answers

Answer:

25.12ft

Step-by-step explanation:

C=2πr

C = 2(3.14)(4)

C = 25.12ft

Answer:

25.12

Step-by-step explanation:

The circumference of a circle is equal to [tex]2\pi r[/tex]. So, to find the circumference plug in 4 for r and solve the expression. [tex]2\pi 4[/tex], where [tex]\pi[/tex] equals 3.14 is 25.12.

Which expression is equivalent to 4/9 divided by 2/3

A) 4/9 x 2/3
B) 4/9 x 3/2
C) 9/4 x 2/3
D) 9/4 x 3/2

Answers

It’s B
Just Keep change flip.
B 4/9 x 3/2 = 2/3. 4/9 divided by 2/3 also equals 2/3

What is the rectangular form of Theta = StartFraction 3 pi Over 4 EndFraction?

Answers

Answer:

C

Step-by-step explanation:

edge

Answer:

C or x+y=0

Step-by-step explanation:

edg

Identify each part in the expression below. will give brainliest

Answers

Answer:

smalls

Step-by-step explanation:

find 2 numbers if their sum is 3 and their difference is 21

Answers

Answer:

the 2 numbers are 12 and -9

Step-by-step explanation:

x + y = 3

x - y = 21    Adding:-

2x = 24

x = 12

y = 3 - x = 3  12 = -9

Answer the 2 numbers are 12 and -9

Answer:

The numbers are 12 and - 9.

Step-by-step explanation:

12 - 9 = 3

- 9 to 12 is 21

The length of a side of a cube can be determined
by Ending the cube root of its volume. If a cube has
a volume of 64 cm', what is the length of a sde?
A 4.0 cm
B. 8.0 cm
C. 160 cm
D 32.0 cm

Answers

Answer:

Side of cube = 4 cm

Step-by-step explanation:

Given:

Volume of cube = 64 cm³

Find:

Side of cube

Computation:

Volume of cube = side³

64 = side³

Side of cube = 4 cm

Can someone help me? I'll reward points and brainalist

Answers

Answer: I think it D for number 2 and b for number 3

Step-by-step explanation:

Answer:

1) B. 2) A.

Step-by-step explanation:

For number 1, put 30 into the equation. (3•30-5). When solved, your answer is 85, the same as the top. They are vertical angles which makes the two equal.

For number 2, I tried to draw the triangles on paper and the one that wasn't possible was A. The side 6 would be too long to connect to 4 or 3.

Find the missing side length of the right triangle below.
26 cm
10 cm
b

Answers

Answer:

24

Step-by-step explanation:

we'll use the pythagoras theorm, but change it a little

instead of a² + b² = c², we'll use c² - a² = b²

26² - 10² = 576

the square root of 576 is 24, and that's the answer :)

I said 24 as well I think

PLEASE HELP 100 points to who ever gives me the answer Compare the numbers using >, <, or =.

a) -2 3

b) |-12| |15|

c) 3 -4

d) |15| |-12|

e) 7 -11

Answers

Answer:

a) -2 < 3

b) |-12| < |15| (the absolute value of -12 is 12 so that's comparing 12 to 15)

c) 3 > -4

d) |15| > |-12|

e) 7 > -11

What is the y intercept please I need help !!!!

Answers

Answer:

answer issssssssssssssss on the fhoto

Four students were asked to write an expression which has terms that have a greatest common factor of ab. The expressions provided by the students are shown below.


Michelle
16 a + 3 b

Naomi
18 a b c minus 13 a b c

Olivia
20 a b minus 14 a b c

Peyton
15 a b c + 14 a b

Which student wrote the correct expression?
Michelle
Naomi
Olivia
Peyton

Answers

Answer:

D.) Peyton

Step-by-step explanation:

If m is any integer, then gcd(a + m⋅b, b) = gcd(a, b). If m is a positive common divisor of a and b, then gcd(a/m, b/m) = gcd(a, b)/m. The GCD is a multiplicative function in the following sense: if a1 and a2 are relatively prime, then gcd(a1⋅a2, b) = gcd(a1, b)⋅gcd(a2, b). Factoring out the GCF is the first step in many factoring problems. Step 1: Determine the greatest common factor of the given terms. The greatest common factor or GCF is the largest factor that all terms have in common. Step 2: Factor out (or divide out) the greatest common factor from each term.

Answer:

peyton is correct because she is the only one with ab even in her awnser

Step-by-step explanation:

What is 20% of 8? Write your answer to the nearest tenth.

Answers

Answer:

1.6

Step-by-step explanation:

To find 20% of 8, multiply 8 by 0.2

8(0.2)

= 1.6

So, 20% of 8 is 1.6

14.5% of 90 is n. The value of n is 15​

Answers

Answer:

dddddddddddddddddddddddddd

Step-by-step explanation:

dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd


Find the value of x

Answers

Answer:

it's 60

Step-by-step explanation:

Each bracelet needs 7_2/3 inches of string. If Samantha is making 4 bracelets, how many inches of string does she need?

Answers

Answer:

30.667 inches of string

Step-by-step explanation:

On the Celsius scale, what does O represent?
a. the theoretical coldest possible temperature
b. an arbitrary number based on its inventor's freezer
c. the freezing point of water
d. the natural temperature of brine

Answers

Answer:

The answer is C.

Step-by-step explanation:

I just took the test on edg.

Answer:

c. freezing point of water

Step-by-step explanation:

did on edge 2021

a car has a tire radius of 36 cm. a stone gets stuck how many times will it hit the ground when the car travels a distance of 1 kilometer. PLS show your work

Answers

Answer:

2777 times

Step-by-step explanation:

You can choose to convert however you like, as long as you divide when they have the same units.

1km = 1000m = 100000cm

36cm = 0.36m = 0.00036

Hence, 1000m÷0.36m = 2777.77777...

Round down to 2777

The stone will hit the ground approximately 442 times when the car travels a distance of 1 kilometer.

What is speed?

Speed is the measure of how quickly an object travels a certain distance. It is defined as the distance traveled by an object divided by the time taken to travel that distance.

The unit of speed is typically meters per second (m/s) or kilometers per hour (km/h), although other units may also be used depending on the context.

Assuming that the stone is stuck at the bottom of the tire and remains there, the stone will hit the ground every time the tire makes a complete rotation. The circumference of the tire is given by:

C = 2πr

where r is the radius of the tire. Substituting the given value of r = 36 cm, we get:

C = 2π(36) cm ≈ 226.19 cm

Therefore, the tire travels a distance of approximately 226.19 cm with each complete rotation. To find out how many times the stone will hit the ground when the car travels 1 kilometer, we need to convert 1 kilometer to centimeters:

1 kilometer = 1000 meters = 1000 x 100 centimeters = 100000 cm

Dividing the distance traveled by the circumference of the tire, we get:

100000 cm ÷ 226.19 cm/rotation ≈ 442.28 rotations

Therefore, the stone will hit the ground approximately 442 times when the car travels a distance of 1 kilometer.

To know more about speed follow

https://brainly.com/question/30965512

#SPJ2

A mechanic estimates that a tire still has
Can someone please help me I need this for a test thank you so much whoever answers this.

8,000 miles of useful tread life. This is 20% of
the original useful tread life of the tire. What
was the tire's original useful tread life?
A) 50,000
B) 40,000
C) 1,600
D) 30,000

Answers

Answer:

B

Step-by-step explanation:

100% is unknown 100:20 is 5

8,000*5=40,00

Tammy must run more than 67 miles total to reach her fitness goals. She has already run 35 miles and runs 4 miles per day, Which
of the following inequalities could be used to solve for x, the number of days Tammy still needs to run to reach her fitness goals?

Answers

Answer:

[tex]35 + 4x > 67[/tex]

To reach her fitness goal, she needs to run for more than 8 days.

Step-by-step explanation:

She has already run 35 miles and runs 4 miles per day:

This means that after x days, the distance she will have run is:

[tex]D(x) = 35 + 4x[/tex]

Tammy must run more than 67 miles total to reach her fitness goals.

This means that:

[tex]D(x) > 67[/tex]

[tex]35 + 4x > 67[/tex]

The inequality is:

[tex]35 + 4x > 67[/tex]

Solution:

[tex]4x > 32[/tex]

[tex]x > \frac{32}{4}[/tex]

[tex]x > 8[/tex]

To reach her fitness goal, she needs to run for more than 8 days.

The three angles of a triangle are in the ratio 1:2:1.
a) Find all the angles of the triangle.
b) Classify the triangle in two different ways​

Answers

the answer is b) classify the triangle in two different ways

I think the answer is nine but I’m not sure how to explain how I got my answer

Answers

Answer:

ur answer is right it is 9

Step-by-step explanation:

NOTE: divide the number 36 with 4 and u will get 9

GOOD JOB

Please mark as brainliest

Have a great day, be safe and healthy

Thank u  

XD

An article summarized data from a survey of a random sample of a certain number of U.S. adults with investments of $10,000 or more. Based on the survey data, it was estimated that 38.5% of investors manage their investments by doing everything they possibly can online. But the authors of the article also noted that there was quite a difference between younger investors (ages 18 to 49) and older investors (ages 50 and older). For younger investors, 63% said they do everything they possibly can online, while the percentage for older investors was 28%.
A) Use the given information to estimate P(O), POLY), and P(OF) where 0 = event that a randomly selected Investor does everything possible online, Y = event that a randomly selected Investor is age 18 to 49, and F = event that a randomly selected investor is 50 years old or older.
B) Suppose that 40% of investors are between the ages of 18 and 49. Use the probabilities from part (a) and the estimate P(Y) = 0.40 to construct a hypothetical 1,000 table.
Y F Total
0
Not 0
Total 1,000
Use information in the table to calculate P(YO).
Which of the following sentences properly interprets this value in the context of this exercise?
A. The probability, given that a randomly selected investor is age 50 or older, that the investor does everything possible online is PLYO).
B. The probability, given that a randomly selected investor is age 18 to 49, that the investor does everything possible online is P(710).
C. The probability, given that a randomly selected investor does everything possible online, that the investor is age 50 or older is P(YO).
D. The probability, given that a randomly selected investor does everything possible online, that the investor is age 18 to 49 is Ayo).
E. The probability that the selected investor is age 18 to 49 is P(YO).

Answers

Answer:

Based On The Survey Data, It Was Estimated That 36% Of Investors Manage Their Investments By Doing Everything They Possibly Can Online. But The Authors Of The Article Also Noted That There Was A Quite A Difference Between . ... random sample of a certain number of U.S. adults with investments of $10,000 or more.

Step-by-step explanation:

Please make me brainiest

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