The following table lists the frequency distribution for 60 rolls of a die.
Outcome
1-spot 2-spot 3-spot 4-spot 5-spot 6-spot
Frequency 10
12
10
10
13
5
Test at the 5% significance level whether the null hypothesis that the given die is fairns true.
False
True

Answers

Answer 1

Answer:

False.................

Answer 2

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

False.

ThanksHope it helps

Related Questions

7.2x14.3 what is that?

Answers

Answer:

102.96

Step-by-step explanation:

Answer:

[tex]102.96[/tex]

Step-by-step explanation:

7 . 2

× 14 . 3

___________

²2 . 16

²28 . 80

72 . 00

____________

¹1¹02.96

Therefor, the answer is 102.96

What is the angle of elevation of the sun when a 44 ft mast casts a 13ft shadow?

Answers

Answer:

here

Step-by-step explanation:

Let the angle of elevation be \thetaθ

\begin{gathered} \therefore \tan \: \theta = \frac{height \: of \: mast}{height \: of \: shadow} \\ \\ \therefore \tan \: \theta = \frac{44}{14} \\ \\ \therefore \tan \: \theta = 3.14285714 \\ \\ \therefore \: \theta = {\tan}^{ - 1} (3.14285714) \\ \therefore \: \theta = 72.349875765 \degree \\ \\ \huge \red{ \boxed{\therefore \:\theta = 72.35 \degree}}\end{gathered}

∴tanθ=

heightofshadow

heightofmast

∴tanθ=

14

44

∴tanθ=3.14285714

∴θ=tan

−1

(3.14285714)

∴θ=72.349875765°

∴θ=72.35°

Hence, angle of elevation of the sun is 72.35°.

Cody is purchasing sports equiptment for $161.37. In Colorado, the sales tax is 2.9%. What is the total cost, including tax, on his purchase? ​

Answers

Answer:

$166.04

Step-by-step explanation:

take the price and add the percentage.

Answer:

166.05

Step-by-step explanation:

161.37x1.029

In an aquarium 2/5 of the fish or surgeonfish. Of these, 3/4 are yellow tangs. what fraction of all fish in the aquarium or yellow tangs

Answers

Answer:

3/10 of the aquarium are yellow tangs.

Step-by-step explanation:

Given that in an aquarium 2/5 of the fish or surgeonfish and of these, 3/4 are yellow tangs, to determine what fraction of all fish in the aquarium are yellow tangs the following calculation must be performed:

2/5 = 0.40

0.40 x 3/4 = X

1.20 / 4 = X

0.30 = X

0.30 = 3/10

Therefore 3/10 of the aquarium are yellow tangs.

A physiologist believes he has discovered a new steroid hormone that can control the blood glucose in mammals. In an experiment he injects laboratory rats with a small amount of this steroid hormone and, after a suitable waiting period measures the blood glucose level of the rats. In his twelve experimental rats he obtains the following levels of blood glucose {35,36,37,33,34,35,33,35,37,36,34,35}. From previous studies of thousands of normal, un-manipulated rats he knows that the mean (mu) blood glucose level in this species of rat (his laboratory population) is 31 and that the standard deviation is 4.12. Evaluate the hypothesis that this new steroid hormone affects blood glucose levels. Use an alpha-level of 0.01 for this analysis.

Required:
a. What is the appropriate test?
b. State the null hypothesis.
c. State the alternative hypothesis.
d. Find the critical value.
e. Calculate the obtained statistic.

Answers

Answer:

1.) One sample t test

2.) New steroid does not decrease blood glucose level in rats ; H0 : μ = 31

3.) New steroid does blood glucose level in rats ; H1 : μ ≠ 31

4.) 2.718

5.) 3.36

Step-by-step explanation:

We only have one sample; hence, we use an independent sample t test.

Given the sample data :

X : 35,36,37,33,34,35,33,35,37,36,34,35

Using calculator;

Sample mean, Xbar = 35

Null hypothesis ;supports that the mean glucose level of species equals ; H0 : μ = 31

The alternative hypothesis ; H1 negates the null hypothesis and aligns with the sample mean ; 35 > 31 ;

H1 : μ > 31

The critical value can be obtained from the T-distribution table ;

α = 0.01 ; degree of freedom, df = n - 1 = 12 - 1 = 11

Tcritical value = 2.718

Tstatistic : (xbar - μ) ÷ (s/√n)

Tstatistic = (35 - 31) ÷ (4.12/√12)

Tstatistic = 3.36

Tstatistic is more extreme Than the critical value

Taylor has a set of 13 cards, labeled 1 through 13. If she chooses a card at random, what is the probability that the number on it is a prime number?

Answers

Answer:

B. 6/13

Step-by-step explanation:

No of sample space, n(s) = 13

Prime numbers

= ( 2 , 3 , 5 , 7 , 11, 13 )

No of favourable cases, n (e) = 6

Now

Probability that the number on it is a prime number is

P(E) = n(e) / n(s)

= 6/13

Hope it will help :)❤

This trapezoid-based right pyramid has a volume of 48 m3 what is the area?

Answers

Answer:

18m^3

Step-by-step explanation:

Khan Academy, It shows how to do the steps

which numbers are between 3 1/3 and 8 7/10

Answers

there are numbers 2 and 9

Really stumped on these 2 problems anybody know anything? "Find the circumference of each circle. Round to the nearest tenth. Use 3.14 or 22/7 for π"

Answers

Answer:

1. 15.7 in

2. 153.9 cm

Step-by-step explanation:

The circumference of a circle is found by the formula:

C = 2 * pi * r, where r represents the radius.

For the first circle, we substitute in 3.14 for pi and the given radius:

C = 2 * 3.14 * 2.5

C = 15.7 in

However, for the second circle, the diameter is given instead of the radius.

As the radius is just half of the diameter, we can find that it is 24.5 cm.

Substituting the values in, we get:

C = 2 * 3.14 * 24.5

C = 153.86 cm

Rounding to the nearest tenth gives us:

153.9 cm

Make sure to use the correct units for each question.

Will give brainlst!!

Have a amazing day :)
Pls help

Answers

Answer:

Sorted Data Set: 2, 10, 12, 13, 14, 15, 17, 18, 18, 20, 21

Mean (Average) 14.545454545455

Median 15

Range 19

Mode 18, appeared 2 times

Geometric Mean 12.803503609558

Largest 21

Smallest 2

Sum 160

Count 11

First Quartile Q1 = 12

Second Quartile Q2 = 15

Third Quartile Q3 = 18

Interquartile Range IQR = 6

I Bought 10 apples three days ago. 3 of them were rotten, I ate 2 and gave 5 away. How many apples do I have left?

I'll give you 30 points if you get this right. CHOOSE WISELY :)

Answers

Answer: 0

Step-by-step explanation: if you gave 5 away your left with 5 if 3 were rotten your left with 2 but you ate 2 meaning you have no apples left.

Review graph I and graph II.

On a coordinate plane, a parabola labeled Graph 2 opens down. It goes through (negative 2, 0), has a vertex at (negative 2, 7), goes through open circle (negative 4, 5), and goes through (negative 6, 0).

On a coordinate plane, a parabola labeled Graph 1 opens down. It goes through (negative 2, 0), has a vertex at (negative 2, 7), goes through open circle (negative 4, 5), and goes through (negative 6, 0). An open circle is at (negative 4, 8).

Which statement compares the limit as x approaches –4 for the two graphs?

In both graph I and graph II, the limit is 5.
In both graph I and graph II, the limit does not exist.
In graph I, the limit does not exist, but in graph II, the limit is 5.
In graph I, the limit is 8, but in graph II, the limit does not exist.

Answers

Answer:

A - in both graph I and graph II, the limit is 5

Step-by-step explanation:

:)

Answer:

A - in both graph I and graph II, the limit is 5

Step-by-step explanation:

the guy above me lol

How many odd numbers are in 10 to 50?

Answers

Answer:

20

Step-by-step explanation:

11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49

I need the answer I don’t know what it is so can anybody help.

Answers

Answer:

4√3

Step-by-step explanation:

The left triangle is a 30°-60°-90° triangle.

30-60-90 triangles have special side proportions that you should memorize, because you will definitely use it in the future. Please see the attached image.

You can get x by taking 8 and dividing it by 2 to get 4, then multiplying it by √3 to get 4√3.

Yumiko Yoshida wants to pay his $1,058.90 annual premium monthly. What is his monthly payment?

Answers

1058.90 divided by 12
answer is $88.2

connie poured 200 milliliters of juice into a glass from a juice carton. She then poured 225 milliliters into a second glass. What is the final change in the volume of the carton?

Answers

Answer:

425 ml

Step-by-step explanation:

200+225= 425 ml

The Virginia Department of Environmental Quality (VDEQ) uses probabilistic monitoring to regulate the water quality of streams in the Commonwealth of Virginia. Of the 85 Eastern Virginia Sites (group 1), 24 do not meet minimum requirements. Of the 80 units sampled in Western Virginia Sites (group 2), 17 do not meet minimum requirements. Assume the data can be treated as independent simple random samples. To determine whether the proportions of streams that fail to meet minimum requirements in the two areas are equal or not, test the following hypotheses.
a) State the null and alternative hypotheses in order to determine whether the proportions of streams that fail to meet minimum requirements in the two areas are equal or not .
(b) Calculate the value of the test statistic z.
(c) Determine the P-value associated with this observed value of z and draw the conclusion about the hypotheses using alpha=0.05.

Answers

Step-by-step explanation:

a) Hn: p1=p2, Ha: p1≠p2

b)

Given:

p1=24/85=0.2824

p2=17/80=0.2125

p=(24+17)/(85+80)=41/165=0.2485

n1=85

n2=80

Z=(p1-p2)/[p(1-p)(1/n1+1/n2)

Z=(0.2824-0.2125)/[0.2485(1-0.2485)(1/85+1/80)

Z=1.0384

c) Since our p-value would be 0.29834, this is higher than our significance level of a=0.05, so we fail to reject the null hypothesis and conclude that there is sufficient evidence to prove that the two proportions are equal.

a) The null hypothesis is given by Hn: p1=p2, Ha: p1≠p2

What is null hypothesis?

The hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling or experimental error.

Given that:

p1=24/85=0.2824

p2=17/80=0.2125

p=(24+17)/(85+80)=41/165=0.2485

n1=85

n2=80

Z=(p1-p2)/[p(1-p)(1/n1+1/n2)

Z=(0.2824-0.2125)/[0.2485(1-0.2485)(1/85+1/80)

Z=1.0384

c) Since our p-value would be 0.29834, this is higher than our significance level of a=0.05, so we fail to reject the null hypothesis and conclude that there is sufficient evidence to prove that the two proportions are equal.

To know more about Null hypothesis follow

https://brainly.com/question/15980493

#SPJ2

Factor completely 21x3 + 35x2 + 9x + 15.

Answers

Answer:

= ( 3 x + 5 ) ( 7 x² + 3 )

Step-by-step explanation:

The Diagram below shows rectangle PLUM find the area of PLUM if entering answer as a decimal, round your final answer to the nearest hundredth. Please Help!

Answers

Answer:

75 Units

Step-by-step explanation:

i got this on khan :)

Find the solution of the system of equations shown on the graph.

Answers

The answer would be (7,9)

Answer:

(7,9)

Step-by-step explanation:

equations of lines are:

y = x + 2

y = 3x - 12

x + 2 = 3x - 12

-2x = -14

x = 7

y = 7 + 2

y = 9

Please help!

Thank you ☺️

Answers

Answer:

I think it's,1,7,7 that will not make a triangle

hope this help

Rachel received $650 for her birthday. She purchased a surfboard for $477 and some additional accessories without spending more than the money she received.

She wrote the inequality 477 + x < 650.

Is the inequality correct?

Answers

Answer:

No, because the inequality symbol should be less than or equal to 650

what is the answer to 50.25 times x

Answers

50.25 times x would be just 50.25x
I’m pretty sure it would just be 50.25x

Bob wants to fix the window on his house, but can’t quite reach it he gets a ladder to access the window, which is 15 feet from the ground, and he places the ladder 8 feet from the house. How long does the ladder have to be if it reaches the window exactly?

Answers

17 feet

Step-by-step explanation:

15^2 + 8^2 = c^2
15^2 + 8^2 = 289

square root of 289 is 17
Dwinsnbobxjdjdjdjddmdolsosokdkdjdjd


Find the volume of a cone that has radius = 2 1/2 and height = 5.
98.1
26.2.
32.7
65.4

Answers

Answer:

98.1 is your anwser I know this kinds of stuff

Step-by-step explanation:

v=22/7×r^2×h/3

=22/7×21/2×5/3

=33/5

=11cm^3

a shopkeeper bought 2 watches for rs 400. he sold them to gain 5% one and loss 5% on other. calculate his final gain or loss percent. if the selling price of both watches is same.​

Answers

He made no gain

He bought 2 watches for $400
400/2=200
Each watch was $200
He gained 5% on one watch
200•1.05=210
He lost 5% on the other
200•0.95=190
210+190=400
Therefore he neither made nor lost any money

HELP ME PLEASEEEEEEEEE

Answers

The Answer Is 1.7 Pounds.

Answer:

1.7 pounds

Step-by-step explanation:

7.9 - 6.2= 1.7

Using the following conversions between the metric and U.S. systems, convert the measurement.
Round your answer to 6 decimal places as needed.
1 meter = 3.28 feet
1 Liter = 0.26 gallons
1 kilogram = 2.20 pounds
12.892 dam = [answer] in miles

Answers

Answer:

It's 23.131 KL

WILL GIVE BRANLIEST.
Which of the following statements are true?
Select 4 correct answers

1. All of the coordinate pairs in Quadrant 1 are positive.


2. All of the coordinate pairs in Quadrant 3 are negative.


3 All of the coordinate pairs in Quadrant 2 are positive.


4 Everything to the left of zero on the x axis is negative, everything below zero on the y axis is negative.


5The x axis is positive in quadrants 1 & 3


6 The y axis is negative in Quadrants 3 & Quadrant 4.

Answers

Answer:

1. True

2. True

3. False

4. True

5. False

6. True

7. Jesus.

What is the measure of m?

Answers

m=6

this is because m=n=6 since the triangle is an equilateral triangle

hope it helps:)))

Answer:

m=6 hope this helps. byer

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