The summary statistics for household incomes of all of the houses on Church Street are shown above. Four sample groups were take
n from houses on the street. Which sample group has a mean greater than that of the population? *
Group 1
Group 2
Group 3
Group 4
Group 1
Group 2
Group 3
Group 4
2 answers:
Answer:
Group 3
Step-by-step explanation:
The given mean of the population is 55.
For group 1,
Mean = \frac{\sum X}{N}, where X is the all the individual incomes in the group and N is the number of individual incomes in the group.
=
=
=
For group 2,
Mean=
=
=
For group 3,
Mean=
=
=
For group 4,
Mean=
=
=
Since, the mean for group 3 is greater than the given mean, therefore group 3 has the largest mean.
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Answer:
3rd and 4th Options are correct choices.
Step-by-step explanation:
We have been given a graph and we are asked to find which of the given figures demonstrate translation.
Since we know that in translation every point of the object must be moved in the same direction and for the same distance. By translation we can shift a figure in upward, downwards, left and right directions.
Now let us see our given choices one by one.
1. Upon looking at figures represented by 1st option we can see that both figures are mirror images to each other. Since we can get mirror images reflecting the pre-image over an axis of symmetry. So the given figures are result of reflection, therefore, 1st option is not a correct choice.
2. We can see that the figures represented by 2nd option are similar. One figure is smaller and other is larger. Since we get a similar image by dilating our pre-image. Therefore, these figures are result of dilation and 2nd option is not correct indeed.
3. We can see that figures represented by 3rd option are same and these figures are result of shifting. We can see that 1st figure is shifted to right to get the second figure, therefore, 3rd option is a correct choice.
4. The figures represented by 4th option are same and these figures are result of shifting. We can see the figure in the bottom is result of shifting the upper figure downwards and then to right. Therefore, 4th option is a correct choice.
Answer:
Step-by-step explanation:
1) Previous concepts
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".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent the scores, and for this case we know the distribution for X is given by:
And let represent the sample mean, the distribution for the sample mean is given by:
On this case
2) Calculate the probability
We want this probability:
The best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this: