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Arturiano [62]
3 years ago
14

Construct a frequency distribution and a relative frequency histogram for the data set using five classes. Which class has the g

reatest relative frequency and which has the least relative​ frequency?
Mathematics
1 answer:
Arada [10]3 years ago
6 0

Answer:

Class 3rd has the highest relative frequency and class 4th has the lowest relative frequency.

Step-by-step explanation:

To calculate class width we use the formula given below;

Class Width = <u>Maximum Value - Minimum Value </u>

                                 Number of Classes

Class Width :  \frac{10 - 1}{5} = 2 approximately.

Relative frequency is obtained by counting each class frequency.

Class            Frequency                 Relative Frequency

1 - 2                     7                                     0.1944

3 - 4                    8                                     0.2223

5 - 6                   10                                    0.2778

7 - 8                    4                                     0.1111

9 - 10                  7                                      0.1944

Class 3rd has the highest relative frequency and class 4th has the lowest relative frequency.

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Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the
Alborosie

Answer:

Step-by-step explanation:

Let the subscripts d and n represent day and night respectively

The null hypothesis is

H0 : μd ≥ μn

The alternative hypothesis is

H1 : μd < μn

it is a one-tailed and also a right left test because of the greater than symbol in the alternative hypothesis.

The decision rule is to reject H0: μd ≥ μn If 0.10 > p value

Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)

z = (xd - xn)/√σd²/nd + σn²/nn

Where

xd and xn represents sample means for day and night respectively.

σd and σn represents population standard deviations for day and night respectively.

nd and nn represents number of samples

From the information given,

xd = 334

xn = 341

σd = 23

σ2 = 28

nd = 60

nn = 68

z = (334 - 341)/√23²/60 + 28²/68

= - 7/√20.34607843138

z = - 1.55

From the normal distribution table, the probability value corresponding to the z score is 0.061

Since the level of significance, 0.1 > 0.061, we would reject H0

Therefore, there is enough evidence to conclude that there are more units produced on the night shift than on the day shift.

8 0
3 years ago
The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent.Find the single reduction the
Evgen [1.6K]

Answer:

40%  . The single reduction together is 40%.

Step-by-step explanation:

Let the bicycle cost is   x before reduced price.

First 25% is reduced  and again 20% further reduced.

Let the single reduction is y% if the two reduction together are equal.

Solution,

Case .1

reduction cost=x\times 25%%

=x\times 25/100

=x/4

The cost of bicycle after reduction of 25% is

=x-x/4=3x/4

cost of reduction further reduction of 20%      =3x/4\times 20%

=3x\times 20/(4\times 100)

=3x/20

The new cost of bicycle is further reduction of 20% is

=3x/4-3x/20

=\left ( 15x-3x \right )/20

=12x/20=3x/5

Case.2

if single reduction is done new cost of cycle is equal

x-x\times y%=3x/5

x\left ( 1-y/100 \right )=3x/5

\left ( 100-y \right )/100=3/5

100-y=60

y=40%

single reduction of a cycle is 40%

8 0
3 years ago
HELPPP
Rudiy27

Formula: A = 2wl + 2lh + 2hw

So... : A = 2(4x8) + 2(8x3) + 2(3x4)

         A = 2(32)   + 2(24)   + 2(12)

         A = 64 + 48 + 24

<u>Answer: A = 136</u> (add them all up)

Hope this helps!!!

:)

8 0
3 years ago
What are some uses for the distance formula?
lbvjy [14]
To find the area of a building.
and to make a small farm

8 0
3 years ago
Solve for x <br>2x^2+x+5=0​
puteri [66]
Correct answer
x
=
−
1
±
i
√
39
4
7 0
3 years ago
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