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Ket [755]
3 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]3 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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Sarah is collecting recyclables for a science project. on the first day she collects 35 recyclable objects. on the second day sh
Svet_ta [14]
The scneario here expressed is an aritmetic sequence because it can be explained like this: 

<span><span><span>a1</span>=35
</span><span><span>an</span>=<span>a<span>n−1</span></span>+<span>17

So all the variables can fit in and will be better explained than a geometric sequence in which you need a common ratio and that is not needed in this case</span></span></span>
4 0
3 years ago
Read 2 more answers
Getaway Travel Agency surveyed a random sample of 454545 of their clients about their vacation plans. Of the clients surveyed, 2
Simora [160]

Answer:

241 clients

Step-by-step explanation:

His problem can be solved using the principle of proportionality or rule three.

We can take advantage of the proportion between respondents who tell us the number of respondents and how many expect to go on vacation and the total number of workers, therefore:  

                         Respondents /// Whole company

Vacations                  21                          x

Total                          45                        516

then x equals:

x = (516 * 21) / (45)

x = 240.8

x = 241 clients

This means that approximately 241 clients expect to go on vacation throughout the company.

8 0
3 years ago
Read 2 more answers
PlZ HELP WILL MARK YOU AS THE BRAINLIEST!
defon

Answer:

1. distance = sqrt( (7-7)^2+(2- -8)^2) = 10

2.  check out desk (0,0 ) => distance = sqrt( (0- -9)^2+(0-0)^2) = 9

3. last corner ( -3, 4)

4. area = sqrt( (-10- -10)^2+(10-4)^2) x sqrt( (-3- -10)^2+(10-10)^2) = 6x7 =42

5. check desk (0,0), south direction = negative y axis => P_beginning (0,-20), P_end (0,-(20+25)) = (0,-45)

6. A(-2,-1) and B(4,-1) lie in y =-1. AB = sqrt( (-2- 4)^2+(-1- -1)^2) =6

=> area = 3.6x6 =21.6

=> peri = 2x(3.6+6) = 19.2

7. A(-5,4) and B(2,4), AB =  sqrt( (-5- 2)^2+(4- -4)^2) = 7 => AB is base

=> p = peri = 7+ 8.3x2 = 23.6

=> area = sqrt[px(p-7)x(p-8.3)x(p-8.3)]

             =sqrt[23.6x(23.6-7)x(23.6-8.3)x(23.6-8.3)] = 302.8

5 0
3 years ago
Hi please help me as soon as possible:
sammy [17]

Answer:

Percentage = 14.2%

Step-by-step explanation:

<u>Given the following data;</u>

Cost of plane ticket = £588

Airport tax = $130

£1 = $1.34

To find the percentage of the total cost spent on airport tax;

First of all, we would convert the ticket cost in pounds (£) to dollars ($).

Cost of plane ticket = £588 to $ = 588 * 1.34 = $787. 92

Total cost = Cost of plane ticket + Airport tax

Total cost = 787. 92 + 130

Total cost = $917.92

Percentage \; cost = \frac {130}{917.92} * 100

Percentage  = 0.1416 * 100

<em>Percentage cost = 14.16 to 1 d.p = 14.2%</em>

<em>Therefore, the percentage of the total cost spent on airport tax by Rimo is 14.2 percent. </em>

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schepotkina [342]

Answer:

I believe this equation is Linear

6 0
2 years ago
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