1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aleksandr82 [10.1K]
3 years ago
14

An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha

t it would produce a mean pressure of 5.85.8 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 290290 engines and the mean pressure was 5.95.9 pounds/square inch. Assume the variance is known to be 0.640.64. A level of significance of 0.010.01 will be used. Make a decision to reject or fail to reject the null hypothesis.
Mathematics
1 answer:
iren [92.7K]3 years ago
7 0
<h2>Answer with explanation:</h2>

Let \mu be the population mean.

By considering the given information , we have

Null hypothesis : H_0: \mu=5.85

Alternative hypothesis :  H_0: \mu>5.85

Since alternative hypothesis is right-tailed , so the test is a right-tailed test.

Given : n=290  ; \overline{x}=5.95  ;

\sigma=\sqrt{Var}=\sqrt{0.64}=0.8

Test statistic:z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

i.e. z=\dfrac{5.95-5.85}{\dfrac{0.8}{\sqrt{290}}}\approx2.13

By using the standard normal distribution table for z , we have

P-value for right tailed test : P(Z>z)=1-P(Z

=1-P(z

Since , the P-value is greater than the significance level of \alpha=0.01 , it means we do not have evidence to reject the null hypothesis.

Hence, we conclude that we do not have enough evidence to support the claim that valve performs above the specifications.

You might be interested in
What is the measure of WUT?
Arada [10]

Answer:

38°

Step-by-step explanation:

4x-6x = -6 - 10

-2x = -16

__ __

-2 -2

x = 8

(6x-10)

(6(8)-10)

48-10

38°

6 0
3 years ago
Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39. For any minutes over 200, Ben is cha
faltersainse [42]

Answer:

\left\{\begin{matrix}39 & x\leq 200\\ 39+(x-200)\times 0.35 & x>200\end{matrix}\right.

Step-by-step explanation:

We are given that Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39.

We are also told that For any minutes over 200, Ben is charged $0.35 per minute.

let x  be the minutes used each month

So, if x\leq 200

So, coat will be $39

If x>200

So, Ben is charged $0.35 per minute

So, when x>200

So, charge = 39+(x-200)\times 0.35

So, the piecewise functions accurately represents charges based on Ben's cell phone :

\left\{\begin{matrix}39 & x\leq 200\\ 39+(x-200)\times 0.35 & x>200\end{matrix}\right.

4 0
3 years ago
Read 2 more answers
What is the slope of 2,000=20×+10y?
sergiy2304 [10]
Y=-2x+200 hope this helps
3 0
3 years ago
Read 2 more answers
The line plot shows the growth, In Inches, of Isabella's plant over 13 days. Growth of Isabella's Plant What is the total growth
mart [117]

Line plots are used to display data elements using markers

The total growth, in inches, of Isabella's plant is 4\frac{1}2 inches

<h3>How to determine the total growth</h3>

From the line plot, the total growth can be represented as:

Total = \frac 18 * 4 + \frac 28 * 2 + \frac 38 * 3 + \frac 48 * 1 + \frac 58 * 3

Evaluate the products

Total = \frac 48+ \frac 48 + \frac 98 + \frac 48 + \frac {15}8

Evaluate the sum

Total = \frac{4+4+9+4+15}8

Evaluate the numerator

Total = \frac{36}8

Evaluate the quotient

Total = 4\frac{1}2

Hence, the total growth, in inches, of Isabella's plant is 4\frac{1}2 inches

Read more about line plots at:

brainly.com/question/15853311

6 0
2 years ago
1.The population of the world is approximately 6200 million people. It is increasing by approximately 93 million people each yea
STALIN [3.7K]
The fraction can simplify down to \frac{93}{6200} convert it to a fraction and the yearly increase is 1.5%

2. Well on average there are 365 days in a year. Dividing 93 million by 365 will get your increase per day. 
There are 24 hours in a day, so that figure is further divided by 24.
There are also 60 minutes in an hour therefore furthermore divided by 60.
= 176 therefore true
8 0
3 years ago
Other questions:
  • How to I work out the answer?
    5·1 answer
  • PLEASE HELP, WILL MARK BRAINLIEST, 15 points
    6·1 answer
  • A women made a deposit of $196.If her deposit considered of 60 bills, some of them one-dollar bills and the rest being five-doll
    5·1 answer
  • For the breakfast buffet, Mr. Walker must equally divide 12 loaves of bread between seven platters. How many loaves of bread are
    15·1 answer
  • 13 POINTS SHOW WORK PLEASE
    14·1 answer
  • Please help 60 Points!!!!!!!! my school is glitched :C
    9·2 answers
  • How many books are due that week?
    11·2 answers
  • I need help with this problem
    8·1 answer
  • PLZ ANSWER ASAP!! THIS IS GEOMETRY. ONLY ANSWER IF YOU KNOW HOW TO DO THIS!
    5·1 answer
  • the eastern alberta DC transmission like is a project that began construction in 2012. It includes a 500km, 500kv power line fro
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!