An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 160 engines and the mean pressure was 5.3 pounds/square inch (psi). Assume the population standard deviation is 0.6. The engineer designed the valve such that it would produce a mean pressure of 5.4 psi. It is believed that the valve does not perform to the specifications. A level of significance of 0.1 will be used. Find the value of the test statistic. Round your answer to two decimal places.

Answers

Answer 1

Answer:

Test statistic   Z = 2.1097

Step-by-step explanation:

Step(i):-

Given that size of the sample 'n' = 160

Given that mean of the Population(μ)  = 5.3pounds/square inch

The Standard deviation of the population(σ) = 0.6

Mean of the sample(x⁻) = 5.4

Level of significance =0.1

Step(ii):-

Test statistic

    [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

   [tex]Z = \frac{5.4-5.3}{\frac{0.6}{\sqrt{160} } }[/tex]

  Z = 2.1097

Final answer:-

Test statistic   Z = 2.1097


Related Questions

solve for x;

2x+3=11?

Answers

Answer:

2x+3=11

2x=11-3

x=8/2

x=4........

Answer: [tex]x = 4[/tex]

Step-by-step explanation:

Okay, so we start with our equation.

[tex]2x + 3 = 11[/tex].

Then we need to get x alone. To do that we subtract the 3 on the side with the x.

But what we do to one side, we do to the other. So we subtract 3 from the 11 as well

2x + 3 = 11    

      -3    -3

2x = 8

Then we divide by 2 on both sides to get X.

[tex]\frac{2x}{2} =\frac{8}{2}[/tex]

[tex]\frac{2x}{2} = x[/tex]

[tex]\frac{8}{2} = 4[/tex]

[tex]x = 4[/tex].

helpp meeeeeeee plsssssa

Answers

Answer:

10x 8 is 80 so it will be 30+80

A farming council takes a large random survey of US adults in which they ask how many times they ate a
cruciferous vegetable such as broccoli, cauliflower, or cabbage in the last 7 days.
Let the random variable x be the number of days a randomly selected respondent reported eating one of these
vegetables
The probability distribution of X and several choices of histograms are shown below
Which histogram correctly displays the probability distribution of the random variable X, the number of days a
randomly selected respondent reported eating a cruciferous vegetable?
a
Ob
Oc
histogram C
histogram A
histogram B

Answers

Answer:

Histogram A

Step-by-step explanation:

Because I was trying to find the answer but I got it wrong and it told me the answer <3

I need help I have 20mons left

Answers

Answer:

y=1/2x-7

your welcomee

I need help please.

Answers

Answer:

the answer is C. 2

Step-by-step explanation:

0.1÷5%

Please answer the geometry question

Answers

Answer:

300 feet

Step-by-step explanation:


Find the domain and range of the relation given to the right.

please help!!! i’ll give brainliest!!

Answers

Answer:

Step-by-step explanation:

D:(0,10)

R:(14, infinitly)

The quotient obtained when (9 greater than x) is divided by (z plus 1)

Answers

9>x/z+1? I hope this helps!

A florist has 733 flowers how many full bouquet of 16 flowers can make?

Answers

Answer:

45 bouquets

Step-by-step explanation:

733 divided by 16 is 45.8125

Round that and you get 45.

Hope this helps!!!

Answer:

45

Step-by-step explanation:

733/16 = 45.81 = 45 and remainder 13

In this case we must round down since with the 13 flowers in the remainder he cannot make another bouquet.

He can make 45 bouquets.

What is the slope of a line with the cords (-3,2) (-1,-1)

Answers

Answer:

X2 = 1.0792

Y2 = 2.0594

ΔX = 4.0792

ΔY = 3.0594

θ = 36.869897645844°

Equation of the line:

y = 0.75x + 1.25

When x=0, y = 1.25

When y=0, x = -1.6666666666667

OR

X2 = -7.0792

Y2 = -4.0594

ΔX = -4.0792

ΔY = -3.0594

θ = 216.86989764584°

Equation of the line:

y = 0.75x + 1.25

When x=0, y = 1.25

When y=0, x = -1.6666666666667

Help Please I can’t figure out this question!!!

Answers

Answer:

i think the top is 4 and the bottom is 6

Step-by-step explanation:

Try 3 in the bottom and 5 in the hypotenuse

In a survey of the most popular type of coffee sold by a cafe, latte recived 42% of the votes expresso recived 3/25 of the votes and ice belended recived 0.46 of the votes. Order the types of coffee from the most popular to the least popular.

Answers

Expresso (most popular)
Latte (medium popular)
Ice blended (least popular)

Explanation:
42%=0.42 (move the decimal two to the left)
3/25=0.12 (divide)
0.46=0.46 (self explanatory)

A medical supplier sells gauze in large and small rectangular sheets. A large sheet has a length of 9 inches and an area of 45 square inches. A small sheet has a length of 4 inches and a width of 3 inches. Are the sheets similar?

Answers

Answer:

Step-by-step explanation:

Large sheet:

 Length = 9 inches

 Width of large sheet = area ÷ length = 5 inches

 ratio of length to width = 9:5

Small sheet:

 Length = 4 inches

 Width = 3 inches

 ratio of length to width = 4:3

9:5 ≠ 4:3

The sheets are not similar

The large sheet and small sheet are not similar because they have different dimensions.

What is the area of a rectangle ?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

It is given that large sheet has a length of 9 inches and an area of 45 square inches whereas the small sheet has length of 4 inches and a width of 3 inches.

Let's find out the area of small sheet which will be :

A = L × B

A = 4 × 3

A = 12 inches²

Whereas , in case of large sheet the area is 45 inches². So , the area of both sheets are not similar.

Let's check if dimensions are same.

Width of large sheet will be :

A = L × B

45 = 9 × B

or

B = 5 inches

So , dimensions are also not equal.

Therefore , the large sheet and small sheet are not similar because they have different dimensions.

Learn more about area of rectangle here :

brainly.com/question/25292087

#SPJ2

hs
Use Order of Operations
to solve.
43 – (24 = 6) + 8

Answers

Answer:

21

Step-by-step explanation:

43-(24+6)+8

43-30+8

13+8

21

I need help please.

Answers

Answer is C).

One way to find the answer is to multiply the $54 by .30 (which is 30%converted to a decimal). Doing this will give you what 30% of $54 is.
This gives you 16.2
Since the question is asking what 30% off the price is, subtract the 16.2 from the $54.

Ali’s paycheck totaled $306.25. If he was paid $12.50 per hour, how many total hours did he work?

Answers

Answer:

24.5 hours

Step-by-step explanation:

To figure out thsi problem, divide 306.25 by 12.50. You will get 24.5. Ali's paycheck indicates that he worked 24 and a half hours.

24 hours and 5 minutes

Abe had some sweets.
He gave half of his sweets to Ben.
Ben gave one third of his sweets to Charlie.
Charlie gave one quarter of her sweets to Dawn.
Dawn gave one fifth of her sweets to Eddy.
Eddy received 6 sweets.
How many sweets did Abe have?

Answers


Answer - 720

You would do 6 x 5 = 30 to get how many dawn had
Then you’d do 30 x 4 = 120 to get how many Charlie had
Then you’d do 120 x 3 = 360 to get how many Ben had
Then 360 x 2 = 720 to get the original amount

Have a good day :)

This list shows the numbers of stuffed animals nine children own.

6, 12, 2, 5, 1, 6, 15, 10, 13

What is the range of the number of stuff animals the children own?


7

13

14

15

Answers

Answer:

I believe it's 14

Step-by-step explanation:

To find the range you subtract to highest and lowest values, (15 and 1)

15 - 1 = 14

I took the test and its 13.

What is the name of the line passing through the vertex that divides
the parabola into two symmetric parts?

Answers

Answer:

symmetry

Step-by-step explanation:

is the line that divides the parabola into two mirror images

Answer:

line of symmetry

Step-by-step explanation:

George is trying to make sure his garden is in the form of a right triangle. Which of the following side lengths would create a right triangle with side lengths of 12 m and
15 m?
O 20 m
18 m
O 9 m
7 m

Answers

your answer would be 15 m if i’m doing it right

The number of siblings an individual has varies from student to student. The distribution of the number of siblings is strongly skewed to the right. The central limit theorem says that:________

(a) as we look at more and more students, their mean number of siblings gets ever closer to the mean u for all students.

(b) the mean number of siblings for any number of students has a distribution of the same shape (strongly skewed) as the distribution for individual students.

(c) the mean number of siblings for any number of students has a distribution that is close to Normal.

(d) the mean number of siblings for a large number of students has a distribution of the same shape (strongly skewed) as the distribution for individual students.

(e) the mean number of siblings for a large number of students has a distribution that is close to Normal.

Answers

Answer:

(e) the mean number of siblings for a large number of students has a distribution that is close to Normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

By the Central Limit Theorem

The sampling distributions with a large number of students(at least 30) will be approximately normal, so the correct answer is given by option e.

state if each pair of ratios forms a proportion 4/3 and 16/12 help me

Answers

Answer:

if you multiply 4/3 by 4/4 you get 4/16.

Step-by-step explanation:

Subscribe to Clutch Gam3r on You Tube

i’ll mark brainliest

Answers

A:C

Step-by-step explanation:

Lisa's commute to work changed from 94 miles to 34 miles after she
moved. What is her percent change? Round your answer to the nearest
whole percent.

Answers

Answer:

60

Step-by-step explanation:

Answer:

60 i think

Step-by-step explanation:

What breaks 40 into 5 equal pieces?

a) 1/2
b) 2/10
c) 2%
d)20%

Answers

Answer:

20

Step-by-step explanation:

20 percent of 40 is 5

so 20 is d answer

Drag each tile to the correct box.
From the set {1, 2, 3, 4, 5}, find the lowest value of x that makes each inequality true. Arrange the inequalities in increasing order of the lowest value of x from the set that makes them true.
choices...
5x − 3x > 9
2x − 1 > 0
6x − 14 > 3
x + (x − 1) > 5

Answers

Answer: It took me a while but I have the answer! I got them A L L correct! And I also got a 5/0 (100%) on my Edmentum mastery test. Brainliest??????

Step-by-step explanation: (In order!)

2x - 1 > 0

6x - 14 > 3

x + (x - 1) > 5

5x - 3x > 9

Complete each proportion by solving the value of N

1 3/5= n/35
2 15/n= 412
3 18/36= 6/n
4 n/12 = 35/42
5. 3/n = n/27
6 n/50 = 1 10
7. 60/90 = 180/n
pa answer po plsss thanksssssssssss​

Answers

Answer: I can help you with this equation over messages if you would like, I cannot input my answer on this page for some reason like I usually could.

Step-by-step explanation:

The ratio of the measures of the sides of a triangle is 2:8:9. If the perimeter of the triangleis 76 inches, find the length of each side. for geometry

Answers

Answer:

The lenghts of the sides are: 8 inches, 32 inches, 36 inches.

Step-by-step explanation:

Perimeter of a triangle:

The perimeter of a triangle is given by the sum of it's sides dimensions.

The ratio of the measures of the sides of a triangle is 2:8:9.

This means that their measures are:

The first measure is x

The second measure is of: [tex]\frac{8x}{2} = 4x[/tex]

The third measure is of [tex]\frac{9x}{2}[/tex]

So the perimeter will be of:

[tex]x + 4x + \frac{9x}{2} = 76[/tex]

[tex]5x + \frac{9x}{2} = 76[/tex]

[tex]\frac{10x}{2} + \frac{9x}{2} = 76[/tex]

[tex]\frac{19x}{2} = 76[/tex]

[tex]19x = 76*2[/tex]

Simplifying by 19

[tex]x = 4*2 = 8[/tex].

So, dimensions of:

[tex]8, 4*8 = 32, \frac{9*8}{2} = 36[/tex]

The lenghts of the sides are: 8 inches, 32 inches, 36 inches.

A man borrowed $3500 from a bank for 6 months. The bank collected 7-1/2% simple interest on the date of maturity. How much did the man pay for use of the money and what was the amount he repaid the bank on the due date of the note

Answers

Answer:

$3762.50

Step-by-step explanation:

From the problem, we can see our initial loan is 3500. On the return date, the interest of the loan is collected 7.5%. To find out how much the man paid for the loan, we need to find out how much he paid in interest, which is the percentage of the interest converted to a decimal x the initial loan. We get $262.5, and then we need to pay back the interest plus the initial loan we borrowed from the bank, so we need to add those together to get:

$3762.50

Need help, please and thank you!

Answers

9514 1404 393

Answer:

  y = -2·(1/2)^x

Step-by-step explanation:

The general form of the equation can be written as ...

  y = a·b^x

where 'a' is the value of the y-intercept, and 'b' is the ratio of y-values for x-values that differ by 1.

From your table and graph, a = -2. From the table, ...

  b = -1/-2 = 1/2

Then the exponential equation is ...

  y = -2·(1/2)^x

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