A large software development firm recently relocated its facilities. Top management is interested in fostering good relations with their new local community and has encouraged their professional employees to engage in local service activities. They believe that the​ firm's professionals volunteer an average of more than 21 hours per month. If this is not the​ case, they will institute an incentive program to increase community involvement. A random sample of 24 professionals yields a mean of 22 hours and a standard deviation of 2.22 hours.

12 13 14 14 15 15 15 16 16 16 16 16
17 17 17 18 18 18 18 19 19 19 20 21

The sample has a mean of 16.6 hours and a standard deviation of 2.22 credit hours.

At α = 0.05,

I. we reject the null hypothesis.
II. we fail to reject the null hypothesis.
III. the firm shouldn't need to institute an incentive program because the evidence indicates that professional employees volunteer an average of more than 15 hours per month in their local community.

a. II and III
b. I and III
c. II only
d. I only
e. III only

Answers

Answer 1

Answer:

B. i and iii

Step-by-step explanation:

There are mistakes in your question. But I solve this problem using the average mean of 15 because that is what is contained in the solution

Hypothesis

H0: u <= 15

H1: u > 15

Mean of x = 16.6

S = 2.22

Test statistic used is t test

16.6 - 15 / 2.22/√24

= 3.531

We find the critical value

Degree of freedom = 24-1 = 23

This is a one tailed test

Critical value = 1.714

We find p value using Ms excel T distribution function

= 0.000894

To make the decision

3.531 > 1.714 so we conclude that

I.) Reject null hypothesis

Iii) conclude an average if more than 15 hours is volunteered per month. So no need to institute the program.

The answer option Is B


Related Questions

PLEASE ANSWER ASAP FOR BRAINESLT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The volume of the aquarium is 9000in^3 (inches cubed)

With a measurement question built on a multiple rating list scale, ____. participants rate multiple items on a three-point scale the participant is restricted to circling their rating. the data generated are always ordinal None of the above is correct. it is possible to visualize the results better than with other numerical scales.

Answers

Answer:

it is possible to visualize the results better than with other numerical scales

Step-by-step explanation:

A rating scale is been set up extract information concerning quantitative as well qualitative attribute.

A rating scale can be regarded as

method of data collection devices in collection of comparative information about as regards a specific research subject. It do comes in form of a multiple-choice question so that values could be assigned to a product by survey respondents. multiple rating list scale gives a better and broad results and give better chance in visualizing the gotten result compare with numerical scales( numerical scale are scales that gives quantitative symbolization as regards attribute).

It should be noted that With a measurement question built on a multiple rating list scale it is possible to visualize the results better than with other numerical scales

HELP ASAP WILL GIVE BRAINLIEST

Answers

Answer:

c

Step-by-step explanation:

bu step explanatiob by 3

Answer:

(-3,-3) and (0,6)

Step-by-step explanation:

Wherever the two lines intercept, is the answer. Based on the graph, you can see that the lines intercept at (-3,-3) and (0,6).

Solve for X.
X-3 - 2(6 - 2x) = 2(2x - 5)
A)
3
B)
5
C)
9
D)
11

Answers

☁️ Answer ☁️

annyeonghaseyo!

The answer is:

B - x = 5

Hope it helps!

Have a nice day hyung/noona!!~  ̄▽ ̄❤️

Give the other person Brainliest

How many 1/5s are in 1?

Answers

Answer:

5!

Step-by-step explanation:

Which graph represents a function?

Answers

Answer:

the bottom graph in the first photo

Step-by-step explanation:

it is a function, unlike the others, because that graph is the only one where the x values dont repeat. in order for it to be a function, the x values cannot repeat

Solve for t. t + -24 = -29 -8
what is t value? ​

Answers

Hope this helps

Step-by-step explanation:

t-24= -37

t= -34+24

t= -13

Answer:

t = -13

Step-by-step explanation:

Add or subtract the numbers

t- 24 = - 37t−24=−37

Separate the constants and variables

t = - 37 + 24t=−37+24

Add or subtract the numbers

t = - 13t

A store sells 8 colors of balloons with at least 28 of each color. How many different combinations of 28 balloons can be chosen? Apply the method of Example 9.6.2 using balloons instead of cans of soft drinks to find that the number of different combinations of 28 balloons that can be chosen is . (b) If the store has only 12 red balloons but at least 28 of each other color of balloon, how many combinations of balloons can be chosen? Use the method of Example 9.6.2(c) to answer this question. If the store has only 12 red balloons, then the number of different selections of 28 balloons of the different colors is the same as the number of different selections that contain 12 or fewer red balloons. Let T be the set of all possible selections, assuming that there are at least 28 balloons of each type, let R≤12 be the set of selections in T that contain 12 or fewer red balloons, and let R≥13 be the set of selections from T that contain 13 or more red balloons. Use the relationships among R≤12, R≥13, and T to find that the number of different combinations of 28 balloons that can be chosen is . (c) If the store has only 8 blue balloons but at least 28 of each other color of balloon, how many combinations of balloons can be chosen? (d) If the store has only 12 red balloons and only 8 blue balloons but at least 28 of each other color of balloon, how many combinations of balloons can be chosen?

Answers

Answer:

(a) [tex]Selection = 6724520[/tex]

(b) [tex]At\ most\ 12 = 6553976[/tex]

(c) [tex]At\ most\ 8 = 6066720[/tex]

(d) [tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 5896638[/tex]

Step-by-step explanation:

Given

[tex]Colors = 8[/tex]

[tex]Balloons = 28[/tex] --- at least

Solving (a): 28 combinations

From the question, we understand that; a combination of 28 is to be selected. Because the order is not important, we make use of combination.

Also, because repetition is allowed; different balloons of the same kind can be selected over and over again.

So:

[tex]n => 28 + 8-1[/tex][tex]= 35[/tex]

[tex]r = 28[/tex]

[tex]Selection = ^{35}^C_{28[/tex]

[tex]Selection = \frac{35!}{(35 - 28)!28!}[/tex]

[tex]Selection = \frac{35!}{7!28!}[/tex]

[tex]Selection = \frac{35*34*33*32*31*30*29*28!}{7!28!}[/tex]

[tex]Selection = \frac{35*34*33*32*31*30*29}{7!}[/tex]

[tex]Selection = \frac{35*34*33*32*31*30*29}{7*6*5*4*3*2*1}[/tex]

[tex]Selection = \frac{33891580800}{5040}[/tex]

[tex]Selection = 6724520[/tex]

Solving (b): At most 12 red balloons

First, we calculate the ways of selecting at least 13 balloons

Out of the 28 balloons, there are 15 balloons remaining (i.e. 28 - 13)

So:

[tex]n => 15 + 8 -1 = 22[/tex]

[tex]r = 15[/tex]

Selection of at least 13 =

[tex]At\ least\ 13 = ^{22}C_{15}[/tex]

[tex]At\ least\ 13 = \frac{22!}{(22-15)!15!}[/tex]

[tex]At\ least\ 13 = \frac{22!}{7!15!}[/tex]

[tex]At\ least\ 13 = 170544[/tex]

Ways of selecting at most 12  =

[tex]At\ most\ 12 = Total - At\ least\ 13[/tex] --- Complement rule

[tex]At\ most\ 12 = 6724520- 170544[/tex]

[tex]At\ most\ 12 = 6553976[/tex]

Solving (c): At most 8 blue balloons

First, we calculate the ways of selecting at least 9 balloons

Out of the 28 balloons, there are 19 balloons remaining (i.e. 28 - 9)

So:

[tex]n => 19+ 8 -1 = 26[/tex]

[tex]r = 19[/tex]

Selection of at least 9 =

[tex]At\ least\ 9 = ^{26}C_{19}[/tex]

[tex]At\ least\ 9 = \frac{26!}{(26-19)!19!}[/tex]

[tex]At\ least\ 9 = \frac{26!}{7!19!}[/tex]

[tex]At\ least\ 9 = 657800[/tex]

Ways of selecting at most 8  =

[tex]At\ most\ 8 = Total - At\ least\ 9[/tex] --- Complement rule

[tex]At\ most\ 8 = 6724520- 657800[/tex]

[tex]At\ most\ 8 = 6066720[/tex]

Solving (d): 12 red and 8 blue balloons

First, we calculate the ways for selecting 13 red balloons and 9 blue balloons

Out of the 28 balloons, there are 6 balloons remaining (i.e. 28 - 13 - 9)

So:

[tex]n =6+6-1 = 11[/tex]

[tex]r = 6[/tex]

Selection =

[tex]^{11}C_6 = \frac{11!}{(11-6)!6!}[/tex]

[tex]^{11}C_6 = \frac{11!}{5!6!}[/tex]

[tex]^{11}C_6 = 462[/tex]

Using inclusion/exclusion rule of two sets:

[tex]Selection = At\ most\ 12 + At\ most\ 8 - (12\ red\ and\ 8\ blue)[/tex]

[tex]Only\ 12\ red\ and\ only\ 8\ blue\ = 170544+ 657800- 462[/tex]

[tex]Only\ 12\ red\ and\ only\ 8\ blue\ = 827882[/tex]

[tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = Total - Only\ 12\ red\ and\ only\ 8\ blue[/tex]

[tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 6724520 - 827882[/tex]

[tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 5896638[/tex]

An employee put $3,000 in a retirement account that offers 7% interest
compounded annually. The employee makes no additional deposits or
withdrawals. Which amount is closest to the interest the employee will
have earned at the end of 5 years?
A. $357.21
B. $1,207.66
C. $499.15
D. $2,567.33

Answers

Answer:

B

Step-by-step explanation:

There are only pink, yellow, green and blue counters in a bag,
The table shows the probability that a counter taken at random from the bag
will be pink, green or blue.
Colour
Pink
Yellow
Green
Blue
Probability
0.5
0.1
0.2
(a) Work out the probability that the counter taken is yellow
There are 40 counters in the bag,
(b) Work out the number of blue counters in the bag.
CORBETTMATHS
ok

Answers

Answer:5/40

Step-by-step explanation:

beacuse u read it and answer it ,I really dont know but thats the answer

6/10 of the class has a pet dog. 27/100 of the class has a pet cat. The rest of the class has a pet fish. What fraction of the class has a pet fish?

Answers

Answer:

13/100 have pet fish

Step-by-step explanation:

6/10 = 60/100

60/100 + 27/100 = 87/100 have cats and dogs

that leaves 13/100 have pet fish

If C is the incenter of ∆AMD, m∠A M C = 3 x + 6 and m∠ DMC= 8 x − 49.
find ∠ M A D (just numbers, no degrees signs).

Answers

Answer:51.

Hope this will help you lot.

Answer:

<MAD=66

Step-by-step explanation:

to find x:

8x-49=3x+6

x=11

to find DMC:

8(11)-49

<DMC=39

<ADM=36

to find ADC:

36/2

<ADC=18

If I have 10 apples, 3 oranges and 7 pears how may oranges do i have?

Answers

Isn’t it supposed to be 3 oranges ?

Answer:

20 oranges.

Step-by-step explanation:

If you add 10 and 3 that gives you 13,

now add the 7 and that should give you 20.

Multiple Choice. Select only one answer.
Which of the following statements could be a correct step in solving this equation:
1
- 7=
2
O
A.
1
-7=
- 12
2.1
B. 3x – 42 = 2(x - 12)
O
C. 3x – 7 = 2(x – 12)
d o
D. 3x – 7 = 2x – 12

Answers

Answer:

B

Step-by-step explanation:

Trust me my mom is a teacher

What is the value of the expression to 16 - 14 ÷ 2 + (3 + 2) to the power of 2

Answers

Answer:

34

Step-by-step explanation:

16-14/2+(3+2)^2

The answer is 2 for the value of the expression to 16 - 14 ÷ 2 + (3 + 2) to the power of 2

Can someone help having trouble solving this question

Answers

Answer:

114

Step-by-step explanation:

to get the degrees of hexagon u should know first the greatest degree so you can subtract the others from it and how to get that

by this formula (no of sides-2)*180

(6-2)*180=720

so 138+128+120+160+90=606

and the remaining angle should be 720-606

which is 114

11) Which of the following expressions are equivalent to:(-4 - 4) + 5
Choose 3 correct answers. *
(-4+4)+5
(-4-4)+5
-(4-4)+5
-(4)+(-4)+5
-4+4+5

Answers

Answer:

(-4-4)+5

-(4)+(-4)+5

Step-by-step explanation:

I only see those two, the question could have had a mistake

Please help me due soon.

Answers

I think it could be x=-5 and/or x=5

Hoped I help :)

The diameter of a wheel on a car is 16 inches. What is the circumference of the wheel? Use 3.14 for pi.

Answers

Answer:

The circumference of the wheel is 50.24 inches

Step-by-step explanation:

What I did was divide the diameter by two (Because you need to radi to get the diameter) to be sure of the answer. I then, multiplied the diameter by 3.14 to get 50.24in.

Evaluate the following expression.
3 to power of 1

Answers

Answer:

3

Step-by-step explanation:

it is 3 3x1 is 3

three raised to the first power is three :)

A. one solution
B. infinitely many solutions
C. no solution

Answers

It should be A-one solution

Plz Help with this problem!


A line has a slope of 3/2 a y-intercept of 4/5 . Which of the following is an equation of the line?

Answers

Answer:

y = 3/2x + 4/5

I think that's how it goes

Find the volume........

Answers

Answer:

765

Step-by-step explanation:

1/4 xbxaxh

0.5 x 17 x5 x 18

Which equals to 765

Answer:

18X17X5X.5=765

i think

Step-by-step explanation:

all you do is X all the sides and then add a *.5

Please help me answer number 2.

Answers

there is no picture or anything

Answer:

a

Step-by-step explanation:

just did it

what does length and width mean

Answers

Answer:

Step-by-step explanation:

length is how long it is and width is how wide it is

find the mean absolute deviation {3,4,5,6,7}

Answers

Answer:

it's 1.2

Step-by-step explanation:

there's also a calculator online for mad

3x(x + 2) and 6x(2x-3)

Answers

Answer:

3x^2+6x and 12x^2-18x

Step-by-step explanation:

First explantanation : 3x time x is 3x^2 and 3x time is 2 is 6x .                                2nd explantanation : 6x time 2 is 12x^2 and 6x time -3 is -18x .

Which model shows the correct factorization of x2 + 2x – 8?

An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled + x, 2 are labeled +, and 2 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled negative. 15 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled negative x, the 2 tiles below + x squared are labeled + x, and the 8 tiles below the negative x tiles are labeled negative.
An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled + x, 2 are labeled +, and 2 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled negative. 15 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled negative x, the 2 tiles below + x squared are labeled + x, and the 8 tiles below the negative x tiles are labeled negative.
An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled + x, 4 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled +. 15 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled + x, the 2 tiles below + x squared are labeled negative x, and the 8 tiles below the + x tiles are labeled negative.
An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled + x, 4 are labeled +. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled negative. 15 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled + x, the 2 tiles below + x squared are labeled negative x, and the 8 tiles below the + x tiles are labeled negative.

Answers

Answer:

Last Option : D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

solve for x:x - 14 < - 23​

Answers

Answer:

Step-by-step explanation:

x - 14 < -23

x < -9

Which of the following is an equation?

A. ʸ⁄₉ - 3

B. ʸ⁄₉ = 3

C. 9 - 3

Answers

The correct answer is A. Y/9=3
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