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

Plz help me!
Plz we’ll mark brainliest if correct!

Answers

Answer:

Seems like 7 of them failed

Step-by-step explanation:

The chart pretty much tells you

Answer:

7 students

Step-by-step explanation:

Workout the following divisions.​

Answers

Answer:

Here. Tell me if you don't understand my writing.

If 2 cups makes 6 servings, how much makes 2 servings?

Answers

2 cups/6 serving = 0.3 cups per serving

2 servings x 0.3 cups per serving= 0.6 cups

hope this helps!!

Answer:

two- thirds of a cup will Give 2 servings

Find the area
of the triangle whose box is 45cm
and height is 12cm​

Answers

Answer:

60 cm is the answer

Step-by-step explanation:


12. In a parking lot, there is an equal number of white red, blue, green and
yellow cars. How many cars could possibly be in the parking lot?
O 53
O 54
O 55
O 56​

Answers

Answer:

56

Step-by-step explanation:

the number of colour variations of cars is 4.

therefore the possible number of cars should be divisible by 4.

of the given answers only 56 is divisible by 4.

where does the 2 go if the 3 goes with the 6 and the 8

Answers

Answer:

My geomatry teacher doesn't even know

Step-by-step explanation:

Line segment ON is perpendicular to line segment ML, and PN = 10.

Circle O is shown. Line segments M O, N O, and L O are radii. Lines are drawn to connects points M and N and points N and L to form chords. A line is drawn from point M to point L and intersects line O N at point P. The length of O M is 25 and the length of P N is 10. Angle O P L is a right angle.

What is the area of triangle MOL?

200 square units
250 square units
300 square units
500 square units

i think its c 300

Answers

Answer:

C. 300 square units

Step-by-step explanation:

Answer:

it´s c edg 2021

Step-by-step explanation:

Need help please in number 5

Answers

Answer:

HL  (Hypotenuse-Leg)

x = 13

Step-by-step explanation:

hypotenuse GJ is shared by both triangles.

∠H and ∠K are right angles so they are right triangles.

leg HG = leg KG

so HL theorem

x + 5 = 8

x = 13

RHS Theorem

(Right angle, hypotenuse and side theorem)

By this theorem GK = GH ,

=> x + 5 = 8

=> x = 8-5

=> x = 3

HOPE IT HELPS

PLEASE MARK ME BRAINLIEST ☺️

Solve and graph the inequality 16x < -64

Answers

Answer:

x < -4

Step-by-step explanation:

-64/16 = -4

help guyss willmark as brainiest

Answers

Answer:y+2=7/3(x-2)

Step-by-step explanation:

You plug the x, y and the slope on the point-slope formula, which is y-y1=m(x-x1)

Y1 is -2, x1 is 2 and slope(m) is 7/3

Answer: y+2=7/3(x-2)

Step-by-step explanation: I used a coordinate plane

Plz mark me brainliest

Calculate the area of a dart which hits the dartboard with a force of 10 N and pressure of 2000 N/cm^2​

Answers

Answer:

pressure=force/area

2000. ×area =10

area. =10/2000

area =0.005cm²

write the equation below in words
z=(8-3)+10​

Answers

Answer:

Z equals open parentheses eight minus three close parentheses plus ten

Step-by-step explanation:

Determine which equation has the same solutions as the given equation.

x2 − 10x − 11 = 0

A.
(x − 10)2 = 36
B.
(x − 5)2 = 36
C.
(x − 5)2 = 21
D.
(x − 10)2 = 21

Answers

I just want to mention that the question is wrongly written!

it's meant to be  x² − 10x − 11 = 0 and not x2 − 10x − 11 = 0

and so the other equations!

Answer:

The answer is B: (x − 5)² = 36

Step-by-step explanation:

by solving the equations using the quadratic formula we found:

the solutions for x² − 10x − 11 = 0 | x = 11, -1

the solutions for A | x = 16, 4

the solutions for B | x = 11, -1

the solutions for C | x = [tex]\sqrt{21} +5[/tex], [tex]-\sqrt{21}+5[/tex]

the solutions for D | x = [tex]\sqrt{21}+10, -\sqrt{21}+10[/tex]

the given equation: x² − 10x − 11 = 0 and the equation B: (x − 5)² = 36 have the same solutions

Therfore B is the correct answer

jessica has 900 feet of fencing and a very large

Answers

Answer:

wot

Step-by-step explanation:

this is not a full question I don't know what to tell ya bud

giving brainliest !! *easy*

Answers

Answer:

To convert an angle measure to radians, multiply it by pi/180.

Step-by-step explanation:

310 * pi/180 = 31pi/18 = 5.41 rad

the answer is: 5.411 radians

3. If one side of the equation 23+43 = 66 is multiplied by 3, what needs to be done to the other side of the equation to keep the sides equal?​

Answers

Answer: multiply the other side by 3 also

Step-by-step explanation:

What happens to one side must also happen to the other side. This is the only way to keep equations equal when changing constants and variables

WILL GIVE BRAINLST
HAVE AN AMAZING DAY :)

Answers

Answer:

9, 12x=4x+8+20

12x-4x=28

8x=28

X=3.5

Answered both because I wasn't sure which one you needed help with.

Help with this lesson. thank you for those who take the time to help me out.

Answers

Answer:

58 mi^2.

Step-by-step explanation:

We can split this up into 2 rectangles and 1 triangle.

Height of the triangle = 4 + 2 + (12-11)

= 7.

Total area

= 2*12 + 2*10 + 1/2 * 4 * height of the triangle

= 24 + 20 + 1/2 * 4 * 7

= 44 + 14

= 58 mi^2.

Which is the graph of the sequence defined by the function f(x + 1) = Three-fifthsf(x) when the first term in the sequence is 375?

On a coordinate plane, 4 points are plotted. The points are (1, 375), (2, 225), (3, 135), (4, 81).

On a coordinate plane, 4 points are plotted. The points are (0, 375), (1, 225), (2, 135), (3, 81).

On a coordinate plane, 4 points are plotted. The points are (1, 375), (2, 75), (3, 15), (4, 3).

On a coordinate plane, 4 points are plotted. The points are (0, 375), (1, 75), (2, 15), (3, 3).

Answers

Answer: On a coordinate plane, 4 points are plotted. The points are (1, 375), (2, 225), (3, 135), (4, 81).

Step-by-step explanation:

We have the relation:

f(x + 1) = (3/5)*f(x)

such that the first term is 375

Then:

f(1) = 375.

Using the above relation, we have that:

f(1 + 1) = f(2) = (3/5)*f(1) = (3/5)*375 = 225

Then we have the pair (2, 225)

The next term is:

f(2 + 1) = f(3) = (3/5)*f(2) = (3/5)*225 = 135

Then we have the pair (3, 135)

the next term is:

f(3 + 1) = f(4) = (3/5)*f(3) = (3/5)*135 = 81

Then we have the pair (3, 81)

Then the correct option is the first one; On a coordinate plane, 4 points are plotted. The points are (1, 375), (2, 225), (3, 135), (4, 81).

Answer:

First graph

Did it on egd :)

Show that n(n – 1)(n + 1) + 6n ≡ n3 + 5n

Answers

Answer:

Explanation:

n(n - 1)(n + 1) + 6n = n^3 + 5n
n(n^2 - 1) + 6n = n^3 + 5n
n^3 - n + 6n = n^3 + 5n
n^3 + 5n = n^3 + 5n (proven)

The 8 students in the Environmental Club represent 25% of the students in the
seventh grade. How many students are in the seventh grade?

Answers

Answer:

32

Step-by-step explanation:

There are 32 students in the seventh grade' because if you multiply 25% by 4, you will get a 100%, which is what you are looking for. But you also have to multiply the 8 by 4, which will equal to 32,

A female rabbit can give birth to over 40 baby rabbits a year. Suppose all of her offspring survived and reproduced, all of their offspring survived and reproduced, and so on. If that happened, in only eight years the mass of rabbits would exceed the mass of Earth!

So, why aren’t we overrun with rabbits? What keeps the rabbit population in check?

(It says Mathematics because I couldn't find the right subject!)

Answers

Answer:

rabbit predators >:)

Step-by-step explanation:

The histogram shows the number of minutes that users waited to register for classes on a university's online system. According to the histogram, how many users waited more than a hour but not more than 2 hours?
A) 2
B) 8
C) 9
D) 11

Answers

Answer: the answer is 4

Step-by-step explanation:

11 users waited more than a hour but not more than 2 hours.

What is Histogram?

A histogram is a graphical depiction of continuous or discrete data. In a histogram, the frequency is represented by the area of a bar. Frequency density, which is proportional to frequency, is plotted on the y-axis, and intervals representing the range of values are plotted on the x-axis.

From the Histogram we have

For 0 -30 minutes - 5 users wait

31- 60 minutes- 4 users wait

61- 90 minutes- 9 users wait

91- 120 minutes- 2 users wait

120- 150 - 4 users wait

So, the number of users waited more than a hour but not more than 2 hours

= 9 + 2

= 11 users

Learn more about Histogram here:

https://brainly.com/question/30354484

#SPJ5

Find the slope of the line

Answers

Answer:

the answer is 0

Step-by-step explanation:

How many hundreths are equivalent to three-quaters

Answers

Answer:

7.5 hundredths (7 hundredths and 5 tenths) equals 3/4

Step-by-step explanation:

Answer:750 hundreths

Step-by-step explanation: I not sure


12
13

Rob paid $50.15 for two pairs of jeans, which include a 15% discount.
What was the price of one pair of jeans before the discount was added?

Answers

Answer:

$29.50

Step-by-step explanation:

The price that Rob paid includes a 15% discount.  This means that Rob paid 85% of the original price.

100% - 15% = 85%

Divide the price Rob paid by the percentage the price is of the total.

85% = 0.85

50.15/0.85 = 59

Now, divide the total price by 2 so that you can find the price of one pair of jeans.

59/2 = 29.50

The price of one pair of jeans is $29.50

Suppose that the effects of copper on a second species (say, species B) of fish show the variance of ln(LC50) measurements to be .8. If the population means of ln(LC50) for the two species are equal, find the probability that, with random samples of ten measurements from each species, the sample mean for species A exceeds the sample mean for species B by at least 1 unit.

Answers

Answer:

Hello the reference related to your question is missing attached below is the reference

answer : p ( x - y ≥ 1 ) = 0.0019

Step-by-step explanation:

Assuming 'X' and 'Y' are independent random samples

X : mean value = [tex]U_{1}[/tex] , variance = 0.4 /10 = 0.04

Y : mean value = [tex]U_{2}[/tex] , variance = 0.8/10 = 0.08

since the values are independent

V [ X - Y ] = V [ X ] + V [Y ] = 0.04 + 0.08 = 0.12

Determine the probability that the sample mean for species A exceeds the sample mean for species B by at least 1 unit

P ( x - y ≥ 1 ) = 0.0019

attached below is the detailed solution

What is the distance between (3, -2), (2, -4)?​

Answers

The distance is approximately 2.236068
It could also be (in an ordered pair):

(1,-2)

Hope this helps!

Identify the polynomial.



x3y3

trinomial
monomial
binomial

Answers

It is a monomial. If there are no signs indicating to add, subtract, multiply, or divide, then it is a monomial. Hope this helps!

if you subtract 17 from my number and multiply the difference by -6 the results is -138 what is Sarah's number

Answers

Answer:

40

Step-by-step explanation:

let the unknown be y (x is used as times(multiplication) )

(y-17)x-6=-138

add /-6 to both sides

y-17x-6/-6=-138/-6

y-17=23

make y independent/add 17 to both sides

y-17+17=23+17

y=40

or in an easier way

-138/-6 =23

23+17=40

simply reversing the question to get the answer

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