uppose you are performing a hypothesis test with H subscript 0 superscript blank space colon space mu equals 10 and H subscript A colon mu greater than 10, using a sample size of 50 observations. You sample data has a mean of 10.7, with a standard deviation of 3.1. Compute the test statistic for this hypothesis test

Answers

Answer 1

Answer: The test statistic for this hypothesis test =1.597

Step-by-step explanation:

When population standard deviation is unknown, we use t-test statistic:

[tex]t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}[/tex]

[tex]\overline{x}[/tex] = sample mean, [tex]\mu[/tex] = population mean , s= sample standard deviation, n = sample size.

As per given,

[tex]t=\dfrac{10.7-10}{\dfrac{3.1}{\sqrt{50}}}\\\\=1.59669273171\approx1.597[/tex]

Hence, the test statistic for this hypothesis test =1.597


Related Questions

a number n is greater than 22

Answers

23 keep the picture save it and shush

The original cost of a laptop computer was x dollars. The expression 0.36 represents the value of the laptop today. Choose two expressions that also represent the value of the laptop today.

Answers

Answer:

0.36x, [tex]\frac{9}{25}[/tex]x

Step-by-step explanation:

36/100 = 9/25

Perform the operation. Enter your answer in scientific notation. 7 × 102 − 5.6 × 102 =

Answers

The answer is 142.8

What is the vertex of the graph of f (x) = 2x2 – 4x ?​

Answers

X=1, if you move the variables to the left and then divide both sides of the equation by 4, you would get x=1

Answer:

Step-by-step explanation:

vertex at  (x,y)=(1,−1)

axis of symmetry:  x=1

mark brailiest

10 POINTS PLEASE HELP) Select the correct graph for the function ƒ(x) = 3x + 4.
LOOK AT PICS FOR OPTIONS

Answers

Answer:

C

Step-by-step explanation:

4 is the y-intercept and 3 is the slope making the answer C.

As per the data the graph (A) represents the graph of the function f(x) = 3x+4 option (C) is correct.

What is a function?

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of the function:

f(x) = 3x + 4

Let's plug x = 0

f(0) = 4

Let's plug x = 1

f(1) = 7

Let's plug x = -1

f(-1) = 1

Thus, as per the data above the graph (C) represents the graph of the function f(x) = 3x+4 option (C) is correct.

Learn more about the function here:

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The following dot plots describe the test scores on Mr. Santos’s final exam.

The second-period class is represented on a number line where the numbers fifty-five to ninety-five are plotted at intervals of five. There is one bullet each plotted above fifty-five, seventy, and ninety-five. Six bullets each are plotted above seventy-five and eighty. Two bullets are plotted above eighty-five and three bullets are plotted above ninety.

The sixth-period class is represented on a number line where the numbers fifty-five to ninety-five are plotted at intervals of five. There is one bullet plotted above sixty-five and two bullets above ninety-five. Three bullets each are plotted above seventy-five and ninety, five bullets above eighty, and six bullets are plotted above eighty-five.

Form a valid inference based on the means of the data sets. Use the drop-down menu to show your answer.

On average, students in the sixth-period class scored
Choose... (Higher, Lower)
as compared to students in the second-period class.

Answers

Answer:

It is higher I have no time to explain. Hope it's right!

if 5,4 and 15 and x are in proportion find the value of x​

Answers

12.

15/5 = 3
4 x 3 = 12
Which is proportional.

Help- No links please!!

Answers

Answer:

2 times length of AB

Step-by-step explanation:

Given

[tex]AB =50\%[/tex]

Required

Length of line with 100%

To get the length of line segment that is 100%, simply multiply AB by 2

i.e.

[tex]2 * AB =2 * 50\%[/tex]

[tex]2 AB =100\%[/tex]

Assume AB = 5cm (at 50%). The length at 100% will be 10cm i.e. 2 * 5cm

What’s the answer and How do you do these

Answers

it’s 45 degrees; since the line is intersecting 2 parallel lines, the angles are the same. similarly, the angle to the right of “angle 2” would be 135 degrees

Bananas are on sale for $0.39 per pound. Mr Schurter bought 3 x 3 /4 pounds of bananas. Which is closest to the amount he paid for the bananas?

Answers

It comes out to 0.8775 so it rounds to about $0.88

The amount paid for the bananas is $0.8775.

What is Proportion?

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Suppose we have two ratio p : q and r : s.

If both these ratios are proportional, then we can write it as p: q : : r : s.

This is same as p : q = r : s or p/q = r/s

Bananas are on sale for $0.39 per pound. Mr. Schurter bought 3 x 3 /4 pounds of bananas.

Cost of 1 pound of banana = $0.39

Let x be the cost of 3 × 3/4 pounds of banana.

3 × 3/4 pounds = 9/4 pounds

By proportional concept,

1 : 0.39 = 9/4 : x

1 / 0.39 = 9/4 / x

Cross multiplying, we get,

1 × x = (9/4) × 0.39

x = 3.51 / 4

x = 0.8775

Hence the cost of 3 × 3/4 pounds of banana is $0.8775.

To learn more about Proportions, click :

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In 5 minutes how many more words per minute can Clair type than graham if graham can type 260 words but Clair can type 275

Answers

Answer:

3 more words per minute

Step-by-step explanation:

So Graham types 260 words / 5 minutes = 52 words per minute

And Clair types 275 words / 5 minutes = 55 words per minute

Thus Clair ypes 55-52 = 3 more words per minute

the image will help u-u ssssss

Answers

Answer:

The first option:

7,10,8,11

Step-by-step explanation:

It's going in a pattern by counting numerically every other number. It's does this starting from 6 and starting from 4. I'm not sure how to explain this well but I hope you get it.

What is the result of adding two or more numbers?

Answers

Answer: A sum

Step-by-step explanation: The result of adding two or more numbers together is a sum.

When two (or more) numbers are added together, the result is called a sum.

On average, there are 177,000 cars on the road every hour in Los Angeles. 1 point
In March 2020, the coronavirus shutdown, resulted in Los Angeles having
80% fewer cars on the road. How many cars were on the road in March
2020 every hour in Los Angeles, after the 80% reduction?

Answers

Answer:

Number of cars on road in 2020 = 35,400 car

Step-by-step explanation:

Given;

Number of cars on road = 177,000

Decrease in cars on road in 2020 = 80%

Find:

Number of cars on road in 2020

Computation:

Number of cars on road in 2020 = Number of cars on road[1 - Decrease in cars on road in 2020]

Number of cars on road in 2020 = 177,000[1-80%]

Number of cars on road in 2020 = 177,000[1-0.80]

Number of cars on road in 2020 = 177,000[0.20]

Number of cars on road in 2020 = 35,400 car

Help please worth 57 points

Answers

Answer:

Always, always.

Consider the sequence 3/4,4/5,5/6,6/7,... Which statement describes the sequence? The sequence diverges. The sequence converges to 1. The sequence converges to [infinity]. The sequence converges to –[infinity].

Answers

Answer:

The sequence converges to 1.

Step-by-step explanation:

[tex]\frac{3}{4}, \frac{4}{5}, \frac{5}{6}, \frac{6}{7}\\\\The \ general \ term = \frac{n -1}{n}\\\\ \lim_{n \to \infty} (\frac{n -1}{n}) = \lim_{n \to \infty} \frac{n(1 -\frac{1}{n})}{n} = \lim_{n \to \infty} 1 - \frac{1}{n} = 1 - \lim_{n \to \infty} \frac{1}{n} = 1[/tex]

[tex][ \lim_{n \to \infty} \frac{1}{n} = 0][/tex]

What is perimeter of 300 315 55

Answers

Just add so it will be 670

SOMEONE HELPPP PLEASE!! Complete the table to represent the number of seashells in the collection after the first four summers

Answers

Answer:

6 number of seashells for 1 Summer. 21 number of seashells for two summers. 36 number of seashells for three summers. 51 number of seashells for 4 summers.

Step-by-step explanation:

15 substituted in for f and x is the the number of summers.

Answer:

6

21

36

51

Illuminate test.


Segment CB is a____

Answers

Answer:

Radius

Step-by-step explanation:

CB = AB/2

Since AB is the diameter, CB is a radius

How can a group of people be considered a population and sample?

Answers

The entire group about which you want to draw conclusions is referred to as a population. A sample is a subset of the population from which you will collect data. The sample size is always smaller than the population's total size. A population in research does not always refer to people.

Which equation is a linear function

Answers

Answer:

[tex]y=\frac{x}{2} -5[/tex]

Step-by-step explanation:

Linear functions are those whose graph is a straight line.

A linear function has the following form: [tex]y=f(x)=a+bx[/tex]

A linear function has one independent variable and one dependent variable.

The independent variable is x and the dependent variable is y.

The degree of a linear equation must be 0 or 1 for each of its variables.

1. The degree of the variable y is 1 which means it is not linear.

2. The degree of the variable y is 1 and the degree of variable x is 1 so it is linear.

3. The degree of the variable y is 1 and the degree of the variable x is 2 so it is not linear.

4. The degrees of the variable violates the linear equation definition so it is not linear.

Marci performed a division. 175 was the dividend, 5 was the divisor, and 35 was the quotient. Which is a correct representation of this problem

Answers

Answer:

175/5 = 35

Step-by-step explanation:

dividend/divisor = quotient

175/5 = 35

1. You currently have $4,500 saved in your bank account. You have decided to use $2700.

What percentage of your savings did you use? Show all your work to justify your answer.

Answers

Answer:

60%

Step-by-step explanation:

1. 4500/100=45

2. 2700/45=60

The reason why is because 45 is 1%, so the way to find the percent is to divide 2700 by 45

Help pls help pls help pls

Answers

Answer: 3900[tex]\pi[/tex] ft^3

if you use the formula on how to find the volume of a cone

V=[tex]\pi[/tex]r^2*h/3

you will insert 30 where the r is, 13 in where h is, after you just solve that and your answer would be 3900[tex]\pi[/tex] ft^3

Covert 4.12 in a faction

Answers

Answer:

it would be 103/25

Step-by-step explanation:

Answer: 103/25

Step-by-step explanation:

Circumference and Area of Circles

Answers

Answer:

Step-by-step explanation:

Circumference for a circle equation is: [tex]2\pi r[/tex]

1. 31.4 in

2. 88 mm

3. 69.1 yd

4. 578.5 m

Area for circle equation is: [tex]\pi r^{2}[/tex]

5. 490.9 m^2

6. 227 ft^2

7. 35.8 mi^2

8. 86.6 cm^2

9. Area: 50.3 cm^2, circumference: 25.1 cm

10. Area: 69.4 in^2, circumference: 29.5 in

11. Area: 2.5 ft^2, circumference: 5.7 ft

12. Area: 36.3 km^2, circumference: 21.4 km

13. Area: 154 yd^2, circumference: 44 yd

Determine the area of the figure shown. Note that each square unit is one unite in length

Answers

Answer:

74 units squared

Step-by-step explanation:

we know that the area of a square or rectangle is A = L × w

so we should just separate the object into it's individual rectangles/squares, solve for their areas, then add them together.

so I'll start with the middle square its length is 8 and width is 8 too.

A = 8 × 8

A = 64

now we'll move on to the other small ones to the side.

the one on the right side it's length is 2 and width is 2.

A = 2 × 2

A = 4

and then the last one on the left, Length is 3, width is 2.

A = 2 × 3

A = 6

now we'll add up all of the areas to get the total area.

Total = 64 + 4 + 6

Total = 74 units squared

Calculate the distance between the points F=(-5,9) and J =(-1, 4) in the coordinate plane.
Give an exact answer (not a decimal approximation).

Answers

Answer:

√41

Step-by-step explanation:

The distance formula is expressed as;

D = √(y2-y1)²+(x2-x1)²

D = √(4-9)²+(-1+5)²

D = √(-5)²+4²

D = √25+16

D = √41

Hence the required distance between F and J is √41

which pair of expressions are equivalent?

A. j + j + j + j and j4
B. 16g + 10 - 4g and 20g + 10
C. 16c + 24c and (4c + 6c)
D. 14e^2 + 3e + 8 and 17e^2 + 8

Answers

Answer:

A.

[tex]j + j + j + j \: and \: j4[/tex]

1) Which triangle is both scalene and acute?
70°
510
10 ft
6.8 ft
10 ft
9 Ft
40°
70°
58° 71°
8.3 ft
10 ft
10 ft
102
90°
7 ft
10 ft
7 ft
31°
47°
35°
55°
13.3 Ft
12.2 ft
Done

Answers

Answer:

Step-by-step explanation:

Top right one. All angles are acute( < 90 degrees) and different .

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