A car manufacturer claims that the company’s newest model has a peak power of exactly 329 horsepower. Katherine is a reporter for an automotive magazine. She is testing the manufacturer's claim and says that the population mean peak power is less than the advertised amount. She measures the peak horsepower of 42 randomly selected cars of the new model. The sample mean is 327.74 horsepower with a standard deviation of 2.41 horsepower. Should Katherine reject or fail to reject the null hypothesis given the sample data below? H0:μ=329 versus Ha:μ<329 α=0.05 (significance level) t≈−3.39 with 41 degrees of freedom p-value<0.005

Answers

Answer 1

Answer: Katherine should reject the null hypothesis.

Step-by-step explanation:

We reject the null hypothesis when p-value is less than the significance level.

here,  H0:μ=329 versus Ha:μ<329

α=0.05 (significance level)

p-value<0.005

so , we should reject the null hypothesis as p-value is less than the significance level.

Hence, Katherine should reject the null hypothesis.


Related Questions

Dan loves to compete in triathlons. At a race a few months ago, he finished in 300 minutes. Yesterday, he completed another triathlon and finished in 306 minutes. What was the percent of increase in Dan's finishing time?

Answers

Answer:

2%

Step-by-step explanation:

If 300 minutes is 100%, how much percent is 306 minutes?

we need to use the rule of three

306 minutes x 100% / 300 minutes = 102%

Therefore the percent of the increase is 102%-100%= 2%

What is the equation of the line that passes through the point (-6,-5) and has a slope of 3/2

Answers

Answer: actual answer is y=3/2x+4

Step-by-step explanation: plug b in the original formula

The equation of the line as of the condition given is y = 3x/2 + 3/2.

Given that,
The equation of the line that passes through the point (-6,-5) and has a slope of 3/2 is to be determined.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The point-slope form of the line is given as,
y - y₁ = m (x - x₁)
From the given substitute the point and slope in the above equation,
y + 6 = 3/2 [x + 5]
y = 3x/2 + 15/2 - 6

y = 3x/2 + 3/2

Thus, the equation of the line as of the condition given is y = 3x/2 + 3/2.

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Question 6 P Find x in the given figure.find ​

Answers

Answer:

72¬

Step-by-step explanation:

48°+x = 120° ( interior alternate angles)

x = 120° - 48°

x = 72°

find the value ~
[tex] |8| + | -7| = x[/tex]

don't spam ~
ty! :)​

Answers

[tex] \qquad \qquad \huge \sf \underline{Solution}[/tex]

☘ Whαt wє nєєd tσ knσw вєfσrє wє ѕσlvє :

➺ Mσduluѕ (mσd) iѕ α mαthєmαticαl functiσn thαt givєѕ αвѕσlutє vαluє σf α numвєr σr vαríαвlє.

⧉ Thαt is :

✤ 1 :positive value ➙ +vє value [ |a| ➙ a ]

✤ 2 :negative value ➙ +vє value [ |-a| ➙ a ]

✤ 3 :variable term ➙ +vє variable [ |x| ➙± x ]

❐ if value in the value in variable is negative, then

|x| = -x [ minus sign makes -ve value +ve ]

|x| = x [ there's no need to change if value is already positive ]

━━━━━━━━━━━━━━━━━━━━━━━

❐ nσw, mσvє σn tσ quєѕtiσn :

[tex]\qquad \: \multimap \sf|8| + | - 7| = x[/tex]

[tex]\qquad \: \multimap \sf8 + 7 = x[/tex]

[tex]\qquad \: \multimap \sf x = 15[/tex]

✦ thєrєfσrє, vαluє σf х iѕ 15

Lines e and f are intersected by lines a and b. At the intersection of lines a and e, the uppercase right angle is 110 degrees. At the intersection of lines b and e, the uppercase right angle is 110 degrees. At the intersection of lines b and f, the bottom right angle is 80 degrees.
Which lines are parallel? Justify your answer.

Lines a and b are parallel because their corresponding angles are congruent.
Lines a and b are parallel because their same side exterior angles are congruent.
Lines e and f are parallel because their corresponding angles are congruent.
Lines e and f are parallel because their same side exterior angles are supplementary.

Answers

Answer:

D. Lines e and f are parallel because their same side exterior angles are supplementary.

Step-by-step explanation:

I know for a fact that it is not C or A even though those ones would make the most sense. This leaves B and D; It's not B because is said that angles A and B are both exterior which is incorrect, A in interior and B is Exterior. This leaves us with D as our final answer.

Hope this helps, may I get brainliest please? :)

The parallel lines are; Lines e and f are parallel because their same side exterior angles are supplementary.

How are parallel straight lines related?

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the given parallel line has equation y = 4x + 2, thus its slope is 4 and thus, the slope of the needed line is 4.

We have given that Lines e and f are intersected by lines a and b.

At the intersection of lines a and e, the uppercase right angle is 110 degrees. The lines b and e, the uppercase right angle is 110 degrees. The lines b and f, the bottom right angle is 80 degrees.

Therefore, The parallel lines is; Lines e and f are parallel because their same side exterior angles are supplementary.

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What is the area of the figure below?
10 cm
3 cm
7 cm
18 cm

A 86 cm2
B. 97 cm2
C. 102 cm2
D. 82 cm2

Answers

Answer:

Should be >A.86 cm2

Step-by-step explanation:

Good luck on your test, Have a great day!

Answer:

The answer is A) 86 cm2, hope this helps!

help me pls

I'll give em points who's the first one to answer to help me

get the sum of 2/3 1/4 and 5/6​

Answers

Answer:

7/4 which could also be written as 1 and 3/4

Suppose a = 16 and b = 20. what is c

Answers

Answer:

I would guess C = 24

Step-by-step explanation:

16 + 4 is 20, so if this is consistent it should be 24 lol

the answer is 20-16 = 4

so c is 4

Na'ilah is spinning 2 fair spinners. Which table shows all the possible outcomes of spinning both spinners

Answers

The possible outcomes of spinning both spinners is the sample space of the spinner

The possible outcomes are A1, A2, A3, B1, B2 and B3

How to determine the possible outcomes

The question is incomplete, as the number of sections in each spinner is not given.

Assume the sections on the first spinner are A and B, while the sections on the second spinner are 1, 2 and 3.

The possible outcomes would be: A1, A2, A3, B1, B2 and B3

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Somebody help!!
Drop down option for both sin(A) and cos(A) is
Sin(C)
Cos(C)
Cos(B)
Tan(A)
Sin(B)

Answers

Answer:

Step-by-step explanation:

sin(A) = cos(C) = 9/41

cos(A) = sin(C) = 40/41

A barrel of flour has about 200 pounds of flour in it how many pounds of flour did the titanic have on board?

Answers

75,000lbs of meat, 11,000lbs of fresh fish, 40 tonnes of potatoes, 40,000 eggs, 7,000 heads of lettuce, 10,000 of sugar, 250 Barrels of flour, 36,000 apples, 1,500 gallons of milk and 15,000 bottles of ale.

Mocha eats 6 ounces of dog food twice a day how many days would a 30 pound bag of dog food last

Answers

5 days
This is becauze 6 ounces of dog food x 5 days = 30, which is how many pounds the bag of dog food is

Answer:

80 days

Step-by-step explanation:

1 pound = 16 ounces

30 = 480 ounces

480 ounces ÷ 6 ounces/day = 80 days

(-8+4i)(1 - i)
Which of the following is equivalent to the complex number shown above?
Note: i = -1

Answers

Answer:

-4 + 12i

Step-by-step explanation:

(-8 + 4i) (1 − i)

Distribute using FOIL.

(-8)(1) + (-8)(-i) + (4i)(1) + (4i)(-i)

-8 + 8i + 4i − 4i²

-8 + 12i + 4

-4 + 12i

The product of two complex numbers (-8+4i) and (1 - i) is - 4(1 + i).

What is a complex number?

"A complex number is a number of the form a + bi, where 'a' and 'b' are real numbers. Here, i = √(- 1)."

Given, (- 8 + 4i)(1 - i)

= (- 8 + 4i - 8i - 4i²)

= [- 8 - 4i - 4(- 1)]

= (- 8 - 4i + 4)

= (- 4 - 4i)

= - 4(1 + i)

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Math math math help help

Answers

Answer:

C. No -- Mitch's line is incorrect because he should draw it so that data points are above and below the trend line.

Explanation:

This is what is known as having a line of best fit. The data points should at least nearly be evenly distributed on both sides of the line for it to be a good line of best fit. You should also make sure that you have at least a few points TOUCHING the line. This is a majour part of having a line of best fit.

I am joyous to assist you at any time.

The answer is C. Hope this helps :)

                                                 

can you please solve this for my none of my calculators will thank you

Answers

Answer:

43 2/225

 

Step-by-step explanation:

Solution by separating parts

Rewriting our equation with parts separated

=32+650+10+1618

Solving the whole number parts

32+10=42

Answer:

22 10/50

Step-by-step explanation:

You first divide then add the subtract the fractions.

Isaac is working two summer jobs, making $8 per hour walking dogs and making $16
per hour tutoring. In a given week, he can work a maximum of 8 total hours and must
earn no less than $80. If x represents the number of hours walking dogs and y
represents the number of hours tutoring, write and solve a system of inequalities
graphically and determine one possible solution.

Answers

Answer:

8 x 8 =64 + 16 x 8 = 128 =$192

Step-by-step explanation:

Find the product.
5x2 •2y2

Answers

Answer:

10(x^2)(y^2)

i hope this work for you

The length of a rectangle is 8 ft longer than twice the width. If the perimeter is 64 ft, find the length and width of the rectangle.

Answers

Answer:

8x*x=64

8x^2=64

x^2=8

x=sqrt8

length 8sqrt8

width-sqrt8

Step-by-step explanation:

(-3)(a+x) if a=8 and x=-10

Answers

Answer:

6

Step-by-step explanation:

(-3×a)+(-3×x)

(-3×8)+(-3×-10)

-24+30

6

or

(-3)×(8+(-10))

-3 × -2

6

Supervisor: "I think you have been doing a great job, but you haven't been signing many people up for our new service feature. I want you to set a goal of signing up 25% of your new customers for our new service feature."
Representative: "If I get 96 new customers that means I have to get __________ of them to sign up for the new service feature."

Answers

It have get [tex]24[/tex] customer of them to sign up for the new service feature.

Given:

  Sign up percentage is [tex]25[/tex] %.

    [tex]96[/tex] customer.

To find the solution by,

Multiply customer and sign up

   [tex]=96*25[/tex]%

   [tex]=96*\frac{25}{100} \\\\=2400/100\\\\=24[/tex]

Thus, it have get [tex]24[/tex] customer of them to sign up for the new service feature.

For information,

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select the correct word form for 562,932​

Answers

Answer:

five hundred sixty two thousand nine hundred thirty two

Step-by-step explanation:

Answer:

The correct word form is:

Five hundred sixty-two thousand nine hundred thirty-two.

---

Thank you so much for participate in the community of Brainly.com

I hope help you :)

Kind regards, Antonio.

question listed in image​

Answers

Answer:

Option 5

Step-by-step explanation:

In the figure below, 7 ||
n. Find the values of y and z.
850
(4z + 5)

Answers

Step-by-step explanation:

See the attached image.

Adding and subtracting fractions with different denominators :D

Answers

Answer:

find the LCM of denominators and multiply the last answers of LCM for example take 1/3 and 1/2 it's LCM is 6

1/3 = 1×2/3×2 = 2/6

1/2 = 1×3/2×3 = 3/6

then subtract 3-2/6 = 1/6 this is subtraction

instead of subtracting just add it

Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ=100.0 and σ=15.0. A random sample of 59 people is taken. Step 1 of 2 : What is the probability of a random person on the street having an IQ score of less than 98 ? Round your answer to 4 decimal places, if necessary.

Answers

Using the normal distribution, it is found that there is a 0.4483 = 44.83% probability of a random person on the street having an IQ score of less than 98.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 100[/tex] and [tex]\sigma = 15[/tex].

The probability of a random person on the street having an IQ score of less than 98 is the p-value of Z when X = 98, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{98 - 100}{15}[/tex]

[tex]Z = -0.13[/tex]

[tex]Z = -0.13[/tex] has a p-value of 0.4483.

0.4483 = 44.83% probability of a random person on the street having an IQ score of less than 98.

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4 A game is being watched by 60 adults and some
children. If there are 20 more adults than children,
how many children are watching the game?
Lo Children

Answers

Answer:

20 children.

Step-by-step explanation:

We can solve this using an equation or simple mental math:

The equation: x=children x+20=adults

x + (x+20) = 60

2x + 20 = 60

2x = 40

x = 20

Mental Math: 40 plus 20 is 60 and 40 is 20 more than 20 so there are 40 adults and 20 children.

write and graph an inequality to represent the following situation. Martin has written at least 70 words of his essay.

Answers

Answer: I think the answer is 60 like the inequality

Step-by-step explanation:

Why? Well basically I did 70 - inequality and got 2 and when I subtracted those numbers it gave me 3 and then I added 3 + 2 and got 5 and then when I did 5 + 3 + 2 I got 80 and then I said thats to much so I divided 80 by 5 and got 33. and I thought 33 was to little so I added an extra 20 and got 60

What is the value of x?
Can someone help Idk how to do this??

Answers

Answer:

x=92

Step-by-step explanation:

360-60-90-73-45=92

88
=
CN
Use the table to answer the following questions.
Х
0
1
2
3
4
5
Y
12
7
2
-3
-8
-13
3
1 point
The y-intercept from our table is
type your answer...

Answers

12 would be the y intercept because x is 0 and y is 12

Write the equation of the graph.



y=1/2x+5


y−3=−1/2(x+1)


y−3=1/2(x+1)


y+3=−1/2(x−1)

Answers

Answer:

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Combine 32 3 2 and x x . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 32 .

Step-by-step explanation:

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