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
Anvisha [2.4K]
3 years ago
8

A trucking firm has a large inventory of spare parts that have been in storage for a long time. It knowsthat some proportion of

these spare parts will have deteriorated to the point where they are no longerusable. In order to estimate this proportion, the firm tests 75 parts, and finds that 0.25 of them are notusable. Find the 95% confidence interval for the population proportion of parts that are not usable.
a. 0.25(1 0.25) 0.25(1 0.25) C 0.25 1.96 p 0.25 1.96 0.95 75 75
b. 0.25(1 0.25) 0.25(1 0.25) C 0.25 1.96 p 0.25 1.96 0.95 75 75
c. 0.25(1 0.25) 0.25(1 0.25) C 0.25 1.645 p 0.25 1.645 0.95 75 75
d. 0.25(1 0.25) 0.25(1 0.25) C 0.25 1.645 p 0.25 1.645 0.95 75 75
Mathematics
1 answer:
Debora [2.8K]3 years ago
7 0

Answer:

0.1546\leq \widehat{p}\leq 0.3513

Step-by-step explanation:

The firm tests 75 parts, and finds that 0.25 of them are notusable

n = 75

x = 0.25 \times 75 = 18.75≈19

\widehat{p}=\frac{x}{n}

\widehat{p}=\frac{19}{75}

\widehat{p}=0.253

Confidence level = 95%

So, Z_\alpha at 95% = 1.96

Formula of confidence interval of one sample proportion:

=\widehat{p}-Z_\alpha \sqrt{\frac{\widehat{p}(1-\widehat{p}}{n}}\leq \widehat{p}\leq \widehat{p}+Z_\alpha \sqrt{\frac{\widehat{p}(1-\widehat{p}}{n}}

=0.253-(1.96)\sqrt{\frac{0.253(1-0.253)}{75}}\leq \widehat{p}\leq0.253+(1.96)\sqrt{\frac{0.253(1-0.253}{75}}

Confidence interval =0.1546\leq \widehat{p}\leq 0.3513

You might be interested in
PLSSS HURRY ILL GIVE YOU A BRAINLYEST
8090 [49]

Answer:

36 inches

Step-by-step explanation:

lets think of it as a ratio,

80:w

20:9

so we want 20 to get to 80

and 9 to get to w right?

so if we just move the smaller rectangle to the corner, then 20*4=80 right?

and if we do that, we do it to 9 as well, 9*4=36

w=36

6 0
2 years ago
the graph below shows the cost of tomato plants for each plant purchased. What is the cost of one tomato plant.​
dem82 [27]

Answer:

2.50

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Solve: m + 2/3 = 1/2
harina [27]
Yeah the answer is -1/6
4 0
3 years ago
Read 2 more answers
Never mind. I meant these problems. Please find the mean, median, and mode.
Sergio [31]
Median mean to find the center of the data
8 0
3 years ago
elsa is designing a commercial jet. she drew a model of her design using the scale shown below. According to her design what wil
stiv31 [10]

Answer:

55

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • When talking about place value every three numbers is a______________
    9·1 answer
  • Solve this inequality j/4 -8<4
    12·2 answers
  • I need to know how to solve this question
    12·1 answer
  • A Web developer uses the equation y=110x+20, where x is the number of cents spent on advertising, to estimate the number of visi
    5·1 answer
  • The greatest of the common factors of two or more numbers is the blank common factor of the numbers
    7·1 answer
  • ashley is on a road trip. so far she has traveled 28.61% of the trip which is 101 miles. how many miles is the entire trip?
    6·1 answer
  • Please help me, this is confusing..
    14·1 answer
  • X = {1,3,5,7)<br> Y = {13,57}<br> Which of the following is the set XnY?
    11·1 answer
  • Someone help me I have have like 5 questions if you answer them all you’ll get brainlest;) 1/5
    5·1 answer
  • Please help I will give brainiest if it's right
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!