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Ket [755]
2 years ago
15

In an experiment, some diseased mice were randomly divided into two groups. One group was given an experimental drug, and one wa

s not. The mean remaining lifespan of the mice given the drug was 18.2 days, and the mean remaining lifespan of those not given the drug was 15.9 days. The experiment was randomly simulated many times using a computer without knowing the effects of the drug, and the standard deviation of the differences of the sample means of the two groups was 1.1 days. Was the difference in the means in the actual experiment significant at a 95% confidence level, and for what reason?A)No, because the difference in the means in the actual experiment was less than two standard deviations from 0.B)No, because the difference in the means in the actual experiment was more than two standard deviations from 0.C)Yes, because the difference in the means in the actual experiment was less than two standard deviations from 0.D)Yes, because the difference in the means in the actual experiment was more than two standard deviations from 0.
Mathematics
1 answer:
damaskus [11]2 years ago
4 0

Answer:

D)Yes, because the difference in the means in the actual experiment was more than two standard deviations from 0.

Step-by-step explanation:

We will test the hypothesis on the difference between means.

We have a sample 1 with mean M1=18.2 (drug group) and a sample 2 with mean M2=15.9 (no-drug group).

Then, the difference between means is:

M_d=M_1-M_2=18.2-15.9=2.3

If the standard deviation of the differences of the sample means of the two groups was 1.1 days, the t-statistic can be calculated as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{2.3-(0)}{1.1}=2.09

The critical value for a two tailed test with confidence of 95% (level of significance of 0.05) is t=z=1.96, assuming a large sample.

This is approximately 2 standards deviation (z=2).

The test statistict=2.09 is bigger than the critical value and lies in the rejection region, so the effect is significant. The null hypothesis would be rejected: the difference between means is significant.

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Given:

|x-4(72)|=2

To find:

The highest and lowest scores Sam could have made in the tournament.

Solution:

We have,

|x-4(72)|=2

|x-288|=2

It can be written as

x-288=\pm 2

Add 288 on both sides.

x=288\pm 2

x=288-2 and x=288+2

x=286 and x=290

Therefore, the highest and lowest scores Sam could have made in the tournament are 290 and 286 respectively.

8 0
2 years ago
Huang buys 3 shirts that each cost the same amount, a pair of pants that cost $12, and he pays with a $100 bill. Which
nekit [7.7K]

Answer:

(100 – 12) – 3x

Step-by-step explanation:

(100 – 12) – 3x would be the correct answer because:

100 is the total amount he paid

12 is the cost of pants

because we don't know the price of shirts yet so it would be called x

He buy in total of 3 shirts so the equation for the price would be 3 * x = 3x

So it would be:

total money paid - pants costs - shirts cost

= 100 - 12 - 3x or (100 - 12) -3x

Hope this helped :3

8 0
2 years ago
Read 2 more answers
29) Adam’s sister wants to watch her intake of fat per day. Here is a guideline of the recommended daily allowances. Typical val
ziro4ka [17]
Basically all the information in this problem is useless. They included all those numbers to confuse you. If you read throughly you can see that all you need to know is that Adam's sister can only have 70 grams of fat each day and that her dinner will have 48 grams of fat.

To figure this out I use this formula all the time to figure out percentages.
is/of=x/100
Your trying to figure out what is 48 percent of 70 because that's how much Adam's sister is going to eat at dinner. So your is would be 48 and your of is 70. When you substitute those numbers your formula becomes 48/70=x/100. Now you cross multiply and get 70x=4800.All that's left is to divide 70 on both sides. Which gives you 68.57.The final answer is 69 percent.
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2 years ago
Brian buys a computer for £4300. It depreciates at a rate of 3% per year. How much will it be worth in 6 years? Give your answer
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Answer:

3526

Step-by-step explanation:

4300×3%=129

129×6=774

4300_774= 3526

4 0
2 years ago
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Matteo is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satelli
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Answer: (1.5, 0)

Step-by-step explanation:

Given : The shape of his satellite can be modeled by y^2=6x where x and y are modeled in inches.

Now,the given equation y^2=6x is a equation of parabola.

Here, coefficient of x is positive, hence the parabola opens rightwards.

On comparing this equation with standard equation x^2=4mx, we get

4m=6\\\Rightarrow\ m=\frac{6}{4}=1.5

In standard equation, coordinates of focus=(m,0)

Thus for given equation coordinates of focus=(1.5,0)

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