Answer:
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Now we need to find the critical value for the rejection zone of the null hypothesis. Since we have a left tailed test we need to find in the normal standard distirbution a value who accumulate 0.05 of the area in the left tail and we got:
And the best choice for this case would be:
z < − 1.65
Step-by-step explanation:
Information provided
n=2431 represent the random sample taken
estimated proportion of interest
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
z would represent the statistic
Hypothesis to test
We want to verify if the true proportion of Americans who reduced meat consumption last year is less than 0.25, then the system of hypothesis are :
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Now we need to find the critical value for the rejection zone of the null hypothesis. Since we have a left tailed test we need to find in the normal standard distirbution a value who accumulate 0.05 of the area in the left tail and we got:
And the best choice for this case would be:
z < − 1.65
Answer:
24
Step-by-step explanation:
(60 × 2 ) ÷ 5 = 24.
60 because hour is 60 minutes
× 2 because she says it for 2 hours
÷ 5 because she says it every 5 minutes
<span>let the two number be x and y
x + y = 156
y = 156 - x
Product of the 2 numbers:
x(156 - x) = </span>
<span>
This maximum value occurs when x = -b / (2a). [This is a standard rule]
</span>
a = -1 and b = 156
x =
x = 78
y = 156 - 78 = 78
product = 78 x 78 = <span>6084 </span>
So the two positive numbers are 78 and 78.
To solve for the area of a triangle, we multiply the length and height, then divide that by two. L = 10. H = 7.
To solve for the perimeter, or edges, of the triangle, we need to use the Pythagorean Theorem: a² + b² = c² to solve for the third side. We already know two measures: 10 and 7. Now we need to square them, add them together to get c², then take the root of that number.
We cannot simplify √149, so we either leave it, or round it.
This is rounded to the nearest 10,000.
Now that we have the measure of the longest side, we can add all three sides together to get the perimeter of the triangle.
Answer:
A. .1469
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
The Probability that a randomly selected marketing major from the class of '07 received a starting salary offer greater than $41,950 is
This is 1 subtracted by the pvalue of Z when X = 41950. So
has a pvalue of 0.8531
1 - 0.8531 = 0.1469
So the correct answer is:
A. .1469