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mariarad [96]
3 years ago
6

Nicolas surveyed a random sample of 80 employees at a software company. He found that 29% of the employees surveyed ride a bike

to work. Nicolas wanted to know if it is plausible that 40% of the entire population of employees rides a bike to work.
Nicolas performed 100 trials of a simulation. Each trial simulated a sample of 80 employees under the assumption that 40% of the population rides a bike to work. The dot plot shows the results of the simulations.

What is the best conclusion for Nicolas to make based on the data?


a)It is not plausible that 40% of the population rides a bike to work because the data shows that a sample proportion of 29% is unlikely.

b)It is not plausible that 40% of the population rides a bike to work because the data shows that a sample proportion of 29% is likely.

c)It is plausible that 40% of the population rides a bike to work because the data shows that a sample proportion of 29% is unlikely.

d)It is plausible that 40% of the population rides a bike to work because the data shows that a sample proportion of 29% is likely.

Mathematics
2 answers:
Nana76 [90]3 years ago
6 0

Answer:

Option C

Step-by-step explanation:

Point diagrams show the frequency of occurrence of a series of events after a certain number of trials. In this case, the trials were 100. During each trial it would have been possible to have proportions of {0.24, 0.25, 0.26, 0.27, 0.28 ..... 0.56}

The events with the highest probability of occurrence are those with the highest number of points in the diagram.

Note that the distribution of the points resembles a bell, with a peak (greater clustering of points) between 0.35 and 0.41.

This indicates that it is more likely that the proportion of employees who go to work in bicycles will be between 0.35 and 0.41.

Then the diagram seems to indicate that a proportion less than 0.30 or greater than 0.45 is unlikely (they have less number of points)

Based on this analysis, it can be concluded that the correct option is c)

c) It is plausible that 40% of the population rides a bike to work because the data shows that a sample proportion of 29% is unlikely.

Papessa [141]3 years ago
5 0

Answer:

It is not plausible that 40% of the population rides a bike to work because the data shows that a sample proportion of 29% is unlikely.

Step-by-step explanation:

I took the test and sacrificed my grade!

hope this helps ya'll

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Candice and christ run a relay race at recess. Candice runs 1/2 of a lap around the track. Chris runs 1/3 of a lap around the tr
eduard

Answer:

Candice ran 1/6 of a lap further than Chris.

Step-by-step explanation:

we know that

To find out how much further Candice runs than Chris, subtract the distance Chris runs from the distance Candice runs

so

\frac{1}{2}-\frac{1}{3}=\frac{3-2}{6}=\frac{1}{6}\ lap

therefore

Candice ran 1/6 of a lap further than Chris.

5 0
3 years ago
the ratio of students at a school is 3 boys for every 4 girls. If there are 52 girls how many boys are in the school
vova2212 [387]
There are 39 boys. 
First you divide 4 into 52 because there are 3 boys for 4 girls. 
Then you take the quotient, 13, and multiply by 3.
3 0
3 years ago
Two brands of AAA batteries are tested in order to compare their voltage. The data summary can be found below. Find the 93% conf
kobusy [5.1K]

Answer:

(\bar X_1 -\bar X_2) \pm z_{\alpha/2} \sqrt{\frac{s^2_1}{n_1}+\frac{s^2_}{n_2}}

And replacing we got:

(9.2 -8.8) - 1.811 \sqrt{\frac{0.3^2}{27}+\frac{0.1^2}{30}}= 0.2903

(9.2 -8.8) + 1.811 \sqrt{\frac{0.3^2}{27}+\frac{0.1^2}{30}}= 0.5097

And the confidence interval for the difference of means would be given by:

0.2903 \leq \mu_1 -\mu_2 \leq 0.5097

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

We have the following data given:

\bar X_1 = 9.2 , \bar X_2 = 8.8, \sigma_1= 0.3, n_1 = 27, \sigma_2 = 0.1, n_2 = 30

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 93% of confidence, our significance level would be given by \alpha=1-0.93=0.07 and \alpha/2 =0.035. And the critical value would be given by:  

z_{\alpha/2}=-1.811, z_{1-\alpha/2}=1.811  

The confidence interval is given by:

(\bar X_1 -\bar X_2) \pm z_{\alpha/2} \sqrt{\frac{s^2_1}{n_1}+\frac{s^2_}{n_2}}

And replacing we got:

(9.2 -8.8) - 1.811 \sqrt{\frac{0.3^2}{27}+\frac{0.1^2}{30}}= 0.2903

(9.2 -8.8) + 1.811 \sqrt{\frac{0.3^2}{27}+\frac{0.1^2}{30}}= 0.5097

And the confidence interval for the difference of means would be given by:

0.2903 \leq \mu_1 -\mu_2 \leq 0.5097

4 0
3 years ago
Please help will brainlist if right
prisoha [69]

Answer:

12. B

13 A

18 B

19 B

Step-by-step explanation:

12. The solutions of the quadratic is the roots, so 0 = x^2 -7x -30 = (x-10)(x+3). For this to be satisfied, either x-10 = 0 -> x = 10 and x + 3 = 0 -> x = -3

13. Either x = 0 or x+8 = 0 -> x =-8 for this to be true

18. The GCF of 2, 6, and 20 is 2. No other number satisfies being a common factor.

19. The product of the solutions of the equation is the (constant/leading coefficient) in the quadratic, which is -8/1 = -8

I hope this helps! :)

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rosijanka [135]

Answer:

Step-by-step explanation:

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4 0
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