Answer:
The interval estimate for the population proportion of American adults who got their health insurance from an employer is (0.43, 0.47).
Step-by-step explanation:
The confidence interval is the interval estimate of the population parameter.
The confidence interval has a certain probability that the true value of the parameter is contained in the interval.
The general form of the confidence interval is:
Here,
SS = sample statistic.
MOE = margin of error
The sample statistic is an unbiased estimator of the population parameter. If the sample size is large enough then the sample statistic can be used to estimate the population parameter value.
In this case the parameter of interest is the population proportion of American adults who got their health insurance from an employer.
The information provided is:
<em>SS = p = </em>0.45.
<em>MOE</em> = 0.02.
Compute the confidence interval for the population proportion <em>p</em> as follows:
Thus, the interval estimate for the population proportion of American adults who got their health insurance from an employer is (0.43, 0.47).
Answer:
a) 0.0228
b) 94.6
Step-by-step explanation:
The formula for calculating a z-score when you are given a random.number of samples is z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean
σ is the population standard deviation
n = random number of samples
Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16,
a) what is the probability that the sample mean is above 95? (4 d.p.) b)
= x = 95
Hence:
z = 95 - 75/40/√16
= 20/40/4
= 20/10
= 2
Probability value from Z-Table:
P(x<95) = 0.97725
P(x>95) = 1 - P(x<95) = 0.02275
The probability that the sample mean is above 95 to 4 decimal places = 0.0228
b) What is the value, of which there is 97.5% chance that a sample mean is less than that value?
97.5% chance = z score for the confidence interval = 1.96
Hence:
z = (x-μ)/σ/√n
1.96 = x - 75/40/√16
1.96 = x - 75/ 40/4
1.96 = x - 75/10
Cross Multiply
1.96 × 10 = x - 75
19.6 = x - 75
x = 19.6 + 75
x = 94.6
The value, of which there is 97.5% chance that a sample mean is less than that value is 94.6
Step-by-step explanation:
first your going to break down your total then since you have nine balls of yarn you going to take out the 9.45
Answer:
- k = 0.005
- doubling time ≈ 139 years
Step-by-step explanation:
Matching the form
A = A0·e^(kt)
to the given equation
A = 8·e^(.005t)
we can identify the value of k as being 0.005.
k = 0.005
___
The doubling time is given by the formula ...
t = ln(2)/k = ln(2)/0.005 ≈ 138.63
It will take about 139 years for the population to double.
