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Fofino [41]
3 years ago
11

A person with type O blood can donate red blood cells to anybody because type O blood is the universal donor blood type. About 4

4% of the US population has type O blood. You are asked to design a simulation to determine the probability that at least 3 of 10 people will have type O blood.
Part A: Conduct five trials using the following table of random digits:

96299 07196 98642 20639 23185 56282 69929 14125 38872 94168
71622 35940 81807 59225 18192 08710 80777 84395 69563 86280
03272 41230 81739 74797 70406 18564 69273 72532 78340 36699
46376 58596 14365 63685 56555 42974 72944 96463 63530 24152
47352 04266 74017 79319 70170 96572 08523 56025 89077 57678
(5 points)

Part B: Based on your simulation, what is the probability that at LEAST 3 of 10 people will have type O blood? (5 points)
Mathematics
2 answers:
professor190 [17]3 years ago
5 0

Answer: (b) 0.8

Step-by-step explanation:

\\Assign 00 - 43 to people will have type O blood and assign 44 - 99 to people will not  have type O blood

\\Trial 1 :

\\Blood group O - 4

\\Not Blood group O - 6

\\Trial 2 :

\\Blood group O - 4

\\Not Blood group - 6

\\Trial 3:

\\ Blood group - 5

\\Not Blood group - 5

\\Trial 4:

\\Blood group: 5

\\Not Blood group - 5

\\Trials 5 :

\\Blood group - 2

\\Not Blood group - 8

\\(b) Out of the 5 trials it was in the fifth trial that the number of blood group O is not up to 3,so,  the probability that at LEAST 3 of 10 people will have type O blood?

\\= 4/5

\\= 0.8

Zanzabum3 years ago
4 0

Answer:

96299

Step-by-step explanation:


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An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre
melamori03 [73]

Answer:

We conclude that a compact microwave oven consumes a mean of more than 250 W.

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let \mu = <u><em>mean power consumption for microwave ovens.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 250 W     {means that a compact microwave oven consumes a mean of no more than 250 W}

Alternate Hypothesis, H_A : \mu > 250 W     {means that a compact microwave oven consumes a mean of more than 250 W}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                                T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean power consumption for ovens = 257.3 W

            σ = population standard deviation = 15 W

            n = sample of microwave ovens = 20

So, <em><u>the test statistics</u></em>  =  \frac{257.3-250}{\frac{15}{\sqrt{20} } }

                                      =  2.176

The value of z test statistics is 2.176.

<u>Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.</u>

Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.

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