![22norvd](/avatars/29515.jpg)
22norvd
27.03.2020 •
Mathematics
Chegg A manufacturer of submersible pumps claims that at most 30% of the pumps require repairs within the first 5 years of operations. A random sample of 120 of these pumps included 47 which required repairs within the first 5 years. Does the manufacturer’s claim appear to be true, at the 0.05 level of significance?
Solved
Show answers
More tips
- C Computers and Internet How to Teach Older Generations to Work with Computers?...
- L Leisure and Entertainment Unlocking the Secrets of Fast and Effective Tectonic Learning...
- S Style and Beauty How to Choose the Perfect Hair Color?...
- C Computers and Internet Best iPad Games: Our Opinion...
- A Animals and plants Man s Best Friend: Which Dog Breed Is the Most Friendly?...
- H Health and Medicine 10 Simple Techniques on How to Boost Your Mood...
- G Goods and services How to Choose the Right High Chair for Your Baby?...
- S Style and Beauty Learn how to tie a keffiyeh on your head like a pro...
- S Style and Beauty How to braid friendship bracelets?...
Answers on questions: Mathematics
- M Mathematics Suppose that, next month, the quality control division will inspect 80units. Among these, 56will undergo a speed test and 24 will be tested for current flow. If an...
- M Mathematics Can somebody help me solve this please☺☺☺...
- M Mathematics 1. Which expression is equivalent to...
- M Mathematics A coat cost R228 before VAT is added. what is the cost of a coat including 14% VAT?...
- M Mathematics 3. -20 + -15 + 11 + -6 =...
- M Mathematics Which equation has solutions of -2 and 3? A. y= x^2+x-6B. y= x^2-x-6C. y=x^2 +5x+6D. y=x^2-5x+6...
- M Mathematics Write 2 sides that are proportional as a fraction....
- M Mathematics the area of a rectangle is 14 square units it has side lengths X and Y given the following value for x find y x equals 7/6 ...
- M Mathematics Please help me with this problem...
- M Mathematics Given the diagram what is the angle of measure E...
Ответ:
No, the manufacturer’s claim doesn't appear to be true, at the 0.05 level of significance.
Step-by-step explanation:
We are given that a manufacturer of submersible pumps claims that at most 30% of the pumps require repairs within the first 5 years of operations. A random sample of 120 of these pumps included 47 which required repairs within the first 5 years.
We have to test the manufacturer’s claim.
Firstly, as we know that the testing is done always on the population parameter.
Let p = % of the pumps that require repairs within the first 5 years of operations.
SO, Null Hypothesis,
:
30% {means that at most 30% of the pumps require repairs within the first 5 years of operations}
Alternate Hypothesis,
: p > 30% {means that more than 30% of the pumps require repairs within the first 5 years of operations}
The test statistics that will be used here is One-sample z proportion test;
T.S. =
~ N(0,1)
where,
= proportion of the pumps that require repairs within the first 5 years of operations in a sample of 120 = ![\frac{47}{120}](/tpl/images/0567/0587/b2177.png)
n = sample of pumps 120
So, test statistics =![\frac{\frac{47}{120} -0.30}{\sqrt{\frac{\frac{47}{120}(1-\frac{47}{120})}{120} } }](/tpl/images/0567/0587/e761d.png)
= 2.057
Now, at 0.05 level of significance, the z table gives critical value of 1.6449. Since our test statistics is more than the critical value of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.
Therefore, we conclude that more than 30% of the pumps require repairs within the first 5 years of operations which means the manufacturer’s claim was not true.
Ответ:
Step-by-step explanation:
Rational numbers are simply numbers that can be written as fractions or ratios.
To write the decimal number 0.83333333 as a rational number you must:
Multiply and divide by 10 for every number after the decimal point.Since the decimal part contains 8 digits (to the right of the decimal point), we need to multiply our number by