Over the weekend Ella ran three times as many miles as Vera. Together they ran 24 miles. How many miles did Vera run?
1 answer:
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Answer: 16%
Step-by-step explanation:
When we have a normal distribution, the 100% of our sample will be placed in a "gaussian bell".
Where the middle of this bell coincides with the mean.
The mean, in this case, is 1200, and the standard deviation is 200.
In the image below you can see that between the points.
Mean + standard deviation and the end of the graph, we have:
13.5% + 2.35% + 0.15% = 16%
And particularly, if we want to know the percentage that exceed 1400, will be the same percentage above the mean plus the standard deviation.
mean = 1200
SD = 200
mean + standard deviation = 1200 + 200 = 1400.
Then the percentage that exceeds 1400 is equal to the percentage that we found above, then the correct option is C: 16%
Answer:
test statistic is ≈ -0.36
p-value is ≈ 0.64
There is no significant evidence that the average golfer can hit the ball more than 235 yards on average.
Step-by-step explanation:
a hypothesis test where H_0: mu = 235 and H_1:mu > 235
test statistic can be calculated as follows:
z= where
- sample mean driving distance (233.8 yards)
- M is the average expected distance that the average golfer can hit the ball under null hypothesis. (235 yards)
- s is the standard deviation (46.6 yards)
- N is the sample size (192)
Then test statistic is z= =-0.3568
p-value is 0.64 >0.05
There is no significant evidence that the average golfer can hit the ball more than 235 yards on average.