Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic t.

Test the claim that the mean lifetime of a particular car engine is greater than 220,000 miles. Sample data are summarized as n = 23, x-bar = 226,450 and s=11,500. Use a significance level of 5%. Determine the p-value.


0.993


0.007


0.05


0.018


0.004

Answers

Answer 1

Using the t-distribution, it is found that the p-value of the test is 0.007.

At the null hypothesis, it is tested if the mean lifetime is not greater than 220,000 miles, that is:

[tex]H_0: \mu \leq 220000[/tex]

At the alternative hypothesis, it is tested if the mean lifetime is greater than 220,000 miles, that is:

[tex]H_1: \mu > 220000[/tex].

We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:

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

The parameters are:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.

For this problem:

[tex]\overline{x} = 226450, \mu = 220000, s = 11500, n = 23[/tex]

Then, the value of the test statistic is:

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

[tex]t = \frac{226450 - 220000}{\frac{11500}{\sqrt{23}}}[/tex]

[tex]t = 2.69[/tex]

We have a right-tailed test(test if the mean is greater than a value), with t = 2.69 and 23 - 1 = 22 df.

Using a t-distribution calculator, the p-value of the test is of 0.007.

A similar problem is given at https://brainly.com/question/13873630


Related Questions

A salesperson earns an income of $600 per week aus an dditional 5% commission on her total sales for that weck a. Write an equation that models the Salespersons total weekly income. b. What would be the salespersons income if her total sales were $10.000 that week? c. How much would a salesperson have to sell to have a $2000 weekly​

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The answer is .I took the test so thats the answer

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Answer:

a reflection over the line y=-x

Step-by-step explanation:

I need help answering this question please

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which question do you need help with

Simplify the following:

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There is nothing there?

help me with this question please!!

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Answer:

A = 2 pi R^2 + 2 pi R h         total surface area

R^2 = 48       2 pi R = 8 * 6^1.2     given

56 pi 6^1/2 - 2 pi R^2 = 2 pi R h     f rom first formula

28 *  6^1/2 /  R - R = h          divide by 2 pi r

28 *  6^1/2 /  R  = 28 * 6^1/2 / (4 3^1/2) = 7 * 2^1/2

h = 7 * 2^1/2 - 4 * 3^1/2

is 0 a natural number or a whole number

Answers

Answer:

O is a whole number.

Step-by-step explanation:

Answer:

0 is not a natural number, it is a whole number.

Step-by-step explanation:

Negative numbers, fractions, and decimals are neither natural numbers nor whole numbers. N is closed, associative, and commutative under both addition and multiplication (but not under subtraction and division).

The equation
(p-1)x^2 + 4x + (p-5)=0, where p is a constant,
has no real roots.
(a) Show that p satisfies p^2 - 6p+1>0.

Answers

Answer:

Proof is shown below.

Step-by-step explanation:

Use quadratic Formula, where from the standard form ax^2 + bx + c = 0, where a is not zero, we identify a = p-1, b=4, c = p-5, and since the given equation has no real roots, the discriminant b^2 - 4ac < 0, so that substituting we have that,

4^2 - 4(p-1)(p-5) < 0

16 - 4(p^2 - 6p + 5) < 0

16 - 4p^2 +24p - 20 < 0

-4p^2 + 24p - 4 < 0,

p^2 - 6p + 1 > 0, by dividing both sides of the inequality by -4.  

ReWrite 2/3 and 3/4 with a common denominator

Answers

Answer:

8/12 and 9/12

Step-by-step explanation:

Answer: 8/12 and 9/12

2/3 = 8/12 and 3/4 = 9/12

To get two fractions with common denominators you can find the least common multiple of the denominators or you can multiply 2/3 x 4 and 3/4 x 3

The lowest common denominator between 4 and 3 is 12

To get from 4 to twelve we multiplied by 3. Whatever you do to the bottom you do to the top. The top number is 3.

3 x 3 = 9

So your new fraction is 9/12. If you simply this you get 3/4 so this checks out ✔️

Now we need to do the other fraction

To get to from 3 to twelve we multiply by 4

3 x 4 = 12

Whatever you do to the bottom you have to do it the same to the top

2 x 4 = 8

Now you get 8/12. 8/12 simplified is 2/3 so this Plato’s checks out ✔️

Andre wrote the expression -2 + 4x = 3 to represent the relationship shown in the table. Write two other expressions that also represent the relationship shown in the table. ​

Answers

Two other expressions that also represent the relationship shown in the table are;

4x-5 = 04x-5 = 0x = 5/4

According to the question;

Andre wrote the expression -2 + 4x = 3 to represent the relationship shown in the table

In essence, to write two other expressions that also represent the relationship shown in the table; we can rearrange the terms in the expression Andre wrote (-2 + 4x = 3) as follow;

First expression is;

-2 - 3 + 4x = 0

4x-5 = 0

Second expression is;

4x = 5

x = 5/4

Read more:

https://brainly.com/question/13968118

What is the length of ef in the right triangle below?

Answers

Answer: A

Step-by-step explanation:

Using pythagoras;

[tex]25 = \sqrt{7^{2}+ x^{2} }\\25^{2}=7^{2} +x^{2} \\625 = 49 +x^{2} \\576 = x^{2} \\x = 24[/tex]

Please give me a brainliest answer

Answer:

24

Step-by-step explanation:

The Pythagoras theorem formula states that in a right triangle ABC, the square of the hypotenuse is equal to the sum of the square of the other two legs. If AB, BC, and AC are the sides of the triangle, then: BC2 = AB2 + AC2​. While if a, b, and c are the sides of the triangle, then ​c2 = a2 + b2.

√(25²-7²) =

√(625-49)=

√576=

24

Write the equation of the line, given the y and x-intercepts. a x-intercept = –68, y-intercept = –34

Answers

Answer:

In slope-intercept form, y = -17/34 - 34

Step-by-step explanation:

For the two points, you have (-68, 0) and (0, -34). To get the slope, you take (y-y) / (x-x). Stay consistent on the order you do those. After I did (-34 - 0) / (0 - 68), simplified it, and got a slope of -17 / 34. You are already given the y-intercept, so you just write the equation from there (y = -17/34 - 34)

QUICK!!

fill in the blanks below in order to justify whether or not the mapping shown represents a function.

Answers

Step-by-step explanation:

I don't know what the specific options are to be selected, but I can tell you what the situation is, and you can then pick the fitting options on your screen :

it is not a function, because 5 in set A (the domain) leads to 2 associated (functional result) values in B (the range).

but in order to be a function, every input value must have exactly one resulting output value. which is violated here.

What is the equation of the line shown in this graph?
у
5
4
3
(-2,2)
2
1
-5
-4
-3 -2
-1 0
1
2.
3
4
5
-1
-27
(-2,-3)
-3
-4

Answers

Answer: (1,-4)

Step-by-step explanation:ssghvssd5633

Find the slope between these two points:
(4,7).(-6, -4)

Answers

Answer:

1.1

Step-by-step explanation:

slope = (-4-7)/(-6-4)= -11/-10 = 1.1

covert 31 days into minutes

Answers

Answer:

MARK ME AS BRAINLIEST !!

Step-by-step explanation:

44640

Answer:

31 days =

44640 minutes

Step-by-step explanation:

Welcome

If a square has a perimeter of 36cm how long is each side of the square

Answers

Answer:

9 cm

Step-by-step explanation:

→ Remember how many sides a square has

4

→ Divide it by the perimeter

36 ÷ 4 = 9

Step-by-step explanation:

you know what a square is ?

it is a closed shape with 4 sides.

all 4 sides are equally long.

all 4 inner angle are 90 degrees.

you know what a perimeter is ?

it is the circumference, the whole way one time around the shape, around the outline of a given structure.

if you don't know the terms, for heaven's sake, please ask your teacher, your friends, your parents or us here directly.

don't wait. don't be afraid or ashamed.

because this here is an extremely simple problem to solve, once you understand the words used.

so, as per the explanations, the perimeter of a square is the sum of the lengths of all sides. and because all sides are equally long, this means the perimeter is simply 4 times the length of one side.

36 = 4×side

side = 36/4 = 9cm

so, each side of the square is 9cm long.


2. Louis kept losing money through a hole in his pocket. He started with 35€, lost 20€.
put in 754 more, spent 43¢ lost 16¢ again, and then put in 14¢. How much change should
there be in his pocket?

Answers

Your answer should be 724 cents, in dollars that is $7.24

Step-by-step explanation:

from the cents is shoes be 724 and the dollars souls be $7.24

Order the ratios from least to greatest:
5:16; 3/8; 2 to 6; 4/15; 12:40
Use a semi-colon to separate each ordered ratio.

Answers

Answer:

13:6 ; 9:4 ; 5:2 ; 20:7 ; 10:3

Step-by-step explanation:

Find the Value of x

Please answer!!
No links!!

Answers

Answer:

x = 15 inches

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\b^{2} = c^{2} - a^{2} \\b^{2} = (25 inches)^{2} - (40 inces/2)^{2} = \sqrt{225} = 15 inches[/tex]

7. The ratio of the base to height of a triangle is 3:5. If the area of this triangle is 30, find the lengths of the base and height.​

Answers

Answer:

Base= 6

Height= 10

Step-by-step explanation:

Area of triangle= ½ ×base ×height

Let the base be 3x and the height be 5x.

Given that the area is 30,

½ ×base ×height= 30

½(3x)(5x)= 30

Multiply both sides by 2:

3x(5x)= 60

15x²= 60

x²= 60 ÷15

x²= 4

Square root both sides:

[tex]x = \sqrt{4} [/tex]

x= 2

(reject x= -2 since length has a positive value)

Length of base

= 3x

= 3(2)

= 6

Length of height

= 5x

= 5(2)

= 10

solve pls brainliest

Answers

Answer:

1/4 - 1/8 = 2/8 - 1/8 = 1/8

Answer:

1) 2

2) 1

3) 8

Step-by-step explanation:

brainliest plz

help me out with this problem ?​

Answers

Answer:

(-4.5, 2.5)

Step-by-step explanation:

The solution for two graphed linear equations is the intersection (The point where two lines meet or cross).

Together, Arline, Mariana, and Sue have 708 movie star cards. Arline has the most cars, and Sue has the least. The ratio of the number of cards each girl has is 5:4:3. How many movie-star cards does each girl have?

Answers

Answer:

5+4+3=12

708/12=59

59*5=295

59*4=236

59*3=177

Arline=295, Mariana=236, Sue=177

Step-by-step explanation:

Lillie is saving up for a trip she is taking with friends during her break from school. If Lillie's current monthly net pay is $429.00 and her monthly expenses are $347.49, what percent of her net pay is left for savings?

a
19%

b
23%

c
65%

d
81%

Answers

This is the same as how you find the percentage for a test.

($347.49/$429.00) x 100
= 65%

The answer is C

Someone please please help!

Answers

Answer:

C.

Step-by-step explanation:

After the given, you need another pair of congruent angles to prove the triangles congruent by AAS. Those angles you need are vertical angles, so they are congruent.

Answer: C.

Calvin works at a pizza place making pizzas. If he is working alone, he can make an average of 15 3/4 per hour. If he works with his friend Megan, he tends to get distracted, and his rate falls by 1/2 per hour. How many pizzas can Calvin make in a 8- hour shift with Megan?

Explain the operations that will be needed to solve this problem, ans then solve it.

Answers

The fraction 1/2 converts to 0.50 in decimal form.

The mixed number 15 & 3/4 is the same as 15.75

If Calvin is distracted, then he makes 15.75-0.50 = 15.25 pizzas per hour on average.

Multiply by 8 to find the total number of pizzas possible.

8*15.25 = 122

Answer: Calvin can make 122 pizzas overall if he is distracted

Calvin can make 122 pizzas in an 8-hour shift with Megan.

Since Calvin works at a pizza place making pizzas, and if he is working alone, he can make an average of 15 3/4 per hour, but if he works with his friend Megan, he tends to get distracted, and his rate falls by 1/2 per hour, to determine how many pizzas can Calvin make in a 8-hour shift with Megan, the following calculation must be performed:

Rate of pizzas made x number of hours = Total number of pizzas (15 3/4 - 1/2) x 8 = X (15.75 - 0.5) x 8 = X 15.25 x 8 = X 122 = X

Therefore, Calvin can make 122 pizzas in an 8-hour shift with Megan.

Learn more in https://brainly.com/question/14963327

In right triangle PQR, PR = 17, RQ = 15,
= 15,
and PQ = 8. What is tan P?

Answers

Answer:

[tex]\sf\bold \longmapsto \: Tan \: P = \frac{15}{8} [/tex]

Step-by-step explanation:

We know,The formula of Tan ∅ is–

[tex]\sf\longmapsto \: \tan = \frac{opposite}{adjacent} [/tex]

Therefore,Tan P will be Option D

[tex]\sf\longmapsto \: \frac{15}{8} [/tex]

ERIOD
DATE
NAME
4. Priya bought these items at the grocery store. Find each unit price.
a. 12 eggs for $3. How much is the cost per egg?
b. 3 pounds of peanuts for $7.50. How much is the cost per pound?
c. 4 rolls of toilet paper for $2. How much is the cost per roll?
d. 10 apples for $3.50. How much is the cost per apple?

Answers

4$ per egg
2.15 per pound
0.50

Answer:

A 3.00/12=.25 ea

B 7.50/3=2.50/1lb

C 2.00/4=.50ea

S 3.50/10=.35/ea

Here you go! Hope it helps.

Please consider brainly for my answer.

Thank you -= Miss Hawaii

help on this please

Answers

Answer:

Opening: Opens upwards

Axis of Symmetry: -7/2

Vertex: (-7/2, -81/4)

X - intercepts: (1, 0) and (-8, 0)

Y - intercept: (0, -8)

Step-by-step explanation:

Opening: 'a' is greater than zero

Axis of Symmetry:

[tex]\frac{-7}{2(1)} =\frac{-7}{2}[/tex]

Vertex:

[tex]y= (\frac{-7}{2})^{2} +7(\frac{-7}{2}) -8\\y= (\frac{49}{4}) +(\frac{-49}{2}) -8\\y= \frac{49}{4} +\frac{-98}{4} -8\\y=\frac{-49}{4}-8\\y = \frac{-81}{4}[/tex]

X - intercepts:

(x-1)(x+8)

x = 1 and x = -8

Y - intercept: (0, -8)

[tex]y= 0^{2} +7(0) -8\\\\y= -8\\[/tex]

State if the triangle are congruent by sss sas asa aas or not congruent

Answers

Answer:

(a) SSS

................................

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