Answer:
The alternative hypothesis is:
<em>Hₐ</em>: The workers with automatic dispensers are more productive than restaurant with manual dispensers.
Step-by-step explanation:
In this case we need to determine whether the workers with automatic dispensers are significantly more productive than restaurant with manual dispensers.
To test this a random sample of 9 workers from a restaurant with automatic dispensers and 9 works from a restaurant with manual dispensers are selected.
The significance level of the test is, <em>α</em> = 0.01.
A Mann-Whitney U test is used to determine whether the randomly selected value from one population is either more than or less than the same value selected from another population.
The hypothesis can be defined as follows:
<em>H₀</em>: The workers with automatic dispensers are as productive as restaurant with manual dispensers.
<em>Hₐ</em>: The workers with automatic dispensers are more productive than restaurant with manual dispensers.
Answer:
The probability that a randomly chosen person gets an incorrect diagnosis is 2.965% = 0.02965.
Step-by-step explanation:
Given, The test to detect the presence of a liver disorder is 98% accurate for a person who has the disease.
so, probability of incorrect diagnosis = 100-98 = 2% = 0.02.
and 97% accurate for a person who does not have the disease.
so, probability of incorrect diagnosis = 100-97 = 3% = 0.03.
And 3.5% of the people in a given population actually have the disorder.
⇒ the probability that a randomly chosen person gets an incorrect diagnosis is (3.5% × 0.02) + (96.5% × 0.03) = 2.965% = 0.02965.
Maximum is when pi / 2t = 1 so that's 33-20 = 13 degrees
minimum when pi/2t = -1 - that gives -33-20 = -53 degrees
Its C
Answer:no
Step-by-step explanation:it would not be possible as 8 is a larger number then 3 unless u would be multiplying by decimals which in which case might be possible
Answer:
x = 6
Step-by-step explanation:
These two angles make a complementary angle meaning the sum of the angles will be 90°. We can use this information to make an equation to solve for x.
10x + 30 = 90 (Given)
10x = 60 (Subtract 30 on both sides)
x = 6 (Divide 10 on both sides)
