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2 answers:
9514 1404 393
Answer:
see attached
Step-by-step explanation:
a) The opposite of the opposite of 2 is 2. It is located 2 units to the right of 0 on the number line. In the attached, it is the red dot labeled P.
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b) The opposite of 2 is -2. It is located 2 units to the left of 0 on the number line. In the attached, it is the blue dot. It is not in the same place as point P.
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Answer:
Median is 6
standard deviation is 2.39
Step-by-step explanation:
the median is the mid number in the data set
The median formula is {(n + 1) ÷ 2}th, where “n” is the number of items in the set and “th” just means the (n)th number.
There are 51 data points in this set (n = 51)
so 51 / 2 = 25.5, the. number in the 25th slot is our median
3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6,<u> 6</u>, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11
the standard deviation is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Answer:
The significance level is and since we are conducting a right tailed test we need to find a critical value who accumulate 0.01 of the area in the right of the normal standard distribution and we got:
So we reject the null hypothesis is
Step-by-step explanation:
For this case we define the random variable X as the number of entry-level swimmers and we are interested about the true population mean for this variable . On specific we want to test this:
Null hypothesis:
Alternative hypothesis:
And the statistic is given by:
The significance level is and since we are conducting a right tailed test we need to find a critical value who accumulate 0.01 of the area in the right of the normal standard distribution and we got:
So we reject the null hypothesis is