Which of the following shows 12 more than a number, written as an algebraic expression?
1 answer:
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Answer:
The 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).
Step-by-step explanation:
Let <em>X</em> = number of boards that fall outside the most rigid level of industry performance specifications.
In a random sample of 300 boards the number of defective boards was 12.
Compute the sample proportion of defective boards as follows:
The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:
The critical value of <em>z</em> for 95% confidence level is,
*Use a <em>z</em>-table.
Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:
Thus, the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).
Answer:
Step-by-step explanation:
Given that in a sample of 800 U.S. adults, 199 think that most celebrities are good role models. Two Two U.S. adults are selected at random from the population of all U.S. adults without replacement.
In 800 adults 199 are favourable and remaining 601 are against.
a) The probability that both adults think most celebrities are good role models is ________= Prob of selecting both from 199
=
=0.062
b) The probability that neither adult thinks most celebrities are good role models is _______=P(both selecting from 601)
=
=0.564
c) The probability that at least one of the two adults thinks most celebrities are good role models ______
=1-Prob that neither thinks
= 1- 0.564
= 0.436