How many randomly selected employers must we contact in order to create an estimate in which we are 95% confident with a margin of error of 9%? b) Suppose we want to reduce the margin of error to 4%. What sample size will suffice? c) Why might it not be worth the effort to try to get an interval with a margin of error of 1%?
Answers
Answer:
a)n=543
b)n=1509
c)n=13573
Step-by-step explanation:
a)
c=98%,
Margin Error
but
where the confidence level is 1-α=0.98
cross multiply
where p=0.5
input the values
n=0.33
b) E=0.33
confidence level
n=(2.33/0.33)²×0.5(1-0.5)=1504
c)
1-α=0.98
cross multiply
Zα/2=2.33
p=0.5
n=(2.33/0.01)²×0.5(1-0.5)=13573
Related Questions
A ramp 17 1/2 feet in length rises to a loading platform that is 3 1/2 feet off the ground. Find the angle that the ramp makes with the ground.
A study is being conducted to compare the average training time for two groups of airport security personnel: those who work for the federal government and those employed by private security companies. From a random sample of 12 government-employed security personnel, average training time was 72 hours, with a sample standard deviation of 8 hours. In a random sample of 16 privately employed security personnel, training time was 65.4 hours, with a sample standard deviation of 12.3 hours. Assume that training time for each group is normally distributed. Use the following notations:μ1: The mean training time for the population of airport security personnelemployed by the federal government.μ2: The mean training time for the population of airport security personnelemployed by private security companies.The goal of the statistical analysis is to determine whether the sample data support the hypothesis that average training time for government-employed security personnel is higher than those employed by private security companies.1. What is the null hypothesis H0?Select one:a. μ1- μ2 <= 0b. μ1- μ2 < 0c. μ1- μ2 =/ 0d. μ1- μ2 > 02. What is the alternative hypothesis Ha?Select one:a. μ1- μ2 > 0b. μ1- μ2 <= 0c. μ1- μ2 = 0d. μ1- μ2 >= 0
HELP ME PLZZZZZZ IM BEGGING YOU
Find the angle between the vectors ????=????+???? and ????=−????+????. (Give an exact answer. Use symbolic notation and fractions where needed.)
Answers
You can then pressure the lines with a tracing gas in order to check if there are leaks in the connections you've made.
After the test is complete, you have to evacuate the line set before opening the valves to start the system.
Knowing this, we can say that line sets, when altered, may NOT be treated as self-contained systems of their own is a FALSE statement.
Answers
Answer:
49 days
Step-by-step explanation:
The spread of the disease is modeled as
where n = number of infected people
t = time (in days)
When the number of infected people is 1400, the number of days t will be:
It will take 49 days for the number of infected people to reach 1400.
Final answer:
Given the function n=200 Square root t where n is the number of infected, and t is time, it will take 49 days for the number of infected people to reach 1400.
Explanation:
To find out how long it will take until the number of infected people reaches 1400, we are going to set n = 1400 (number of infected people) in the given equation, and then solve for t (time in days).
So, 1400 = 200 √t. Dividing both sides by 200, we get √t = 7. Then, squaring both sides give us t = 49 days. So, it will take 49 days for the number of infected people to reach 1400.
Given the function n=200 Square root t where n is the number of infected, and t is time, it will take 49 days for the number of infected people to reach 1400.
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Game
Touchdown passes
1
3
2
1
3
3
4
2
5
3
Which would be a point on the scatterplot that represents touchdown passes based on these games played?
(1, 2)
(2, 4)
(3, 1)
(5, 3)
Answers
Answer:
D
Step-by-step explanation:
If x is the game number, and y is the amount of touchdown passes for that specific game number, then (5,3) represents the idea that the quarter back threw y = 3 touchdown passes for game number x = 5
So the answer is choice D. This is the only ordered pair that comes from the given table. Something like (2,4) isn't true because the quarterback threw 1 touchdown pass (not 4) in game two.
Answer:D
Step-by-step explanation:
Answers
Answer:
A) 0.026
B) 0.130
Step-by-step explanation:
Complete Question
A factory received a shipment of 10 generators and the vendor who sold the items knows there are 4 generators in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the generators in the sample are defective, he will refuse the shipment. Give answer as a decimal to three decimal places.
(A) If a sample of 4 generators is selected, find the probability that all in the sample are defective.
(B) If a sample of 4 generators is selected, find the probability that none in the sample is defective.
Solution
A) This is a binomial distribution problem
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = number of generators to be picked = 4
x = Number of successes required = number of defective generators required = 4
p = probability of success = probability that a randomly selected generator is defective = (4/10) = 0.40
q = probability of failure = probability that a randomly selected generator is NOT defective = 1 - p = 1 - 0.40 = 0.60
P(X = 4) = ⁴C₄ (0.40)⁴ (0.6)⁴⁻⁴ = 0.0256 = 0.026 to 3 d.p.
B) n = total number of sample spaces = number of generators to be picked = 4
x = Number of successes required = number of defective generators required = 0
p = probability of success = probability that a randomly selected generator is defective = (4/10) = 0.40
q = probability of failure = probability that a randomly selected generator is NOT defective = 1 - p = 1 - 0.40 = 0.60
P(X = 0) = ⁴C₀ (0.40)⁰ (0.6)⁴⁻⁰ = 0.1296 = 0.130 to 3 d.p.
Hope this Helps!!!
Answers
Answer:There are 26000 miles that will both be due at the same time.
Step-by-step explanation:
Since we have given that
Number of miles required by new vintage = 400
Number of miles if these services have must been performed by the dealer = 13000
We need to find the number of miles from now that will both be due at the same time.
We would use "LCM of 400 and 13000":
As we know that LCM of 400 and 13000 is 26000.
So, there are 26000 miles that will both be due at the same time.
Answers
Answer:
- 7%: $1065
- 13%: $1365
Step-by-step explanation:
If x represents the amount invested at 7%, then the amount invested at 13% is x+300. Lydia's total interest is ...
0.07x +0.13(x +300) = 252
0.20x = 213 . . . . . subtract 39
x = 213/0.20 = 1065
Lydia has $1065 invested at 7% and $1365 invested at 13%.
Final answer:
Using the given conditions, we set up and solve an equation where x is the amount invested at a 7% rate and x + $300 is the amount at a 13% rate. After solving, we find that Lydia has $1065 in the 7% account and $1365 in the 13% account.
Explanation:
Let's assume Lydia's investment at 7% to be x and her investment at 13% to be x + $300. Since the total interest is $252, we can create an equation to solve for the values of x.
The equation will look like this:
0.07x + 0.13(x + 300) = 252
Let's solve the equation:
0.07x + 0.13x + 39 = 252
Combine like terms to get 0.2x + 39 = 252
Subtract 39 from both sides to get 0.2x = 213
Divide by 0.2 to solve for x, which gives x = 1065.
So, Lydia has $1065 in the 7% account and $1065 + $300 = $1365 in the 13% account.
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