Police departments use exams as part of their promotion process and officers have to score higher than 80% of those taking the t
1 answer:
Answer:
z score for officer1 is 1, he will be promoted.
z score for officer2 is 0.33, she will not be promoted.
Step-by-step explanation:
Officer 1 get 74 points. O1=74
Officer 2 get 68 points. O2=68
Mean of the exam is 65 and standart deviation is 9 . M=65 and s=9
1) z-score for O1 can be found using the formula:
=1
2) z-score of O2 is
=0.33
Promotion is gained if an officer (O), scores higher than 80% of the officers taking the exam. This means they need to be at least in the top 20% of the exam. Therefore we look for the corresponding z score for the P(z)=0.2 which is 0.8416. Since z-score of O1 is bigger that 0.8416, he promotes. Officer2 who got 68 from the exam cannot promote since corresponding z-score is less than 0.8416
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Answer:
20 and 25.
Step-by-step explanation:
Given:
They both teach total 45 yoga classes each week.
Erica teaches 15 fewer than twice as many as Bo.
To find:
How many classes does each instructor teach per week = ?
Solution:
Let number of classes are taken by Bo =
Then number of classes are taken by Erica = (given)
Total number of classes are taken by both = 45 (given)
According to the question.
+
= 45
By adding both side by 15
By dividing both side by 3
number of classes are taken by Bo = = 20
number of classes are taken by Erica =
=
Therefore, number of classes are taken by Bo and Erica is 20 and 25.
There is enough evidence to conclude that taking aspirin cannot reduces the chance of cancer.
Given sample size of patients take aspirin 11037, sample size of patients who have assigned placebo group be 11034. 104 doctors who take aspirin had a heart attack, 189 doctors had placebo had heart attacks.
First we have to form hypothesis.
We have to find the respective probabilities.
=104/11037
=0.0094
=189/11034
=0.0171
Now their respective margin of errors.
=
=0.0009
=
=0.0011
Hence the distribution of the differences,they are given by:
p=
=0.0094-0.0171
=-0.0077
S=
=
=0.00305
z=(p -f)/S (In which f=0 is the value tested at the null hypothesis)
=(-0.0077-0)/0.00305
=-2.52
p value will be 0.005.
p value of 0.05 significance level.
z=1.96.
1.96>0.005
So we will reject the null hypothesis which means it cannot reduce the whole chance of becomming a heart attack.
Hence there is enough evidence to conclude that taking aspirin cannot reduces the chance of cancer.
Learn more about t test at brainly.com/question/6589776
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