Joy has been pulled over for speeding on a freeway. The faster she was going, the higher the ticket will be. True or False? The
1 answer:
You might be interested in
The margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.
<h3>What is the margin of error?</h3>The margin of error can be defined as the amount of random sampling error in the results of a survey. It is given by the formula,
= margin of error
= confidence level
= quantile
σ = standard deviation
n = sample size
As it is given that the sample size of the survey is 324, while the standard deviation of the survey is 1.6.
We know that the value of the z for 95% confidence interval is 1.96. Therefore, using the formula of the standard of error we can write it as,
Hence, the margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.
Learn more about Margin of Error:
Answer:
a. One of the chocolate candies weighed 0.776 gram and it was heavier than 25 of the other chocolate candies. What is the percentile of this particular value?
It is the <u>5</u>th percentile.
b. One of the chocolate candies weighed 0.876 gram and it was heavier than 329 of the other chocolate candies. What is the percentile of this particular value?
It is the <u>71</u>th percentile.
c. One of the chocolate candies weighed 0.856 gram and it was heavier than 229 of the other chocolate candies. What is the percentile of this particular value?
It is the <u>49</u>th percentile.
Step-by-step explanation:
So when we are talking about percentile, what it means is the point below a certain score or percentage lies, or the rank.
The formula is simple:
Let's call percentile pth, pth=
where p is the position in the data set you want to evaluate (in statistical analysis, these are called quartiles, and they are useful for evaluating groups, so 3 quartiles would divide sample into 25th, 50th and 75th, four quartiles would be 20th, 40th, 60th, 80th, and so on).
and n is the number of elements in the set
For this problem there are no quartiles specified, but we can then work with the definition of percentile, meaning, if you are the 5th percentile, then 95% of the group are above you.
a. So 0.776 was heavier than 25 others, meaning it is in the 26th position out of 463. But we need that in relation to 100, so is 0.0562 or about 5/100, (rounded down). That would mean that the percentile is:
pth=*100=5.62 or 5, rounded down
b. 0.876 was heavier than 329 others, meaning it is in the 330th position out of 463. In relation to 100, so is 0.7127 or about 71/100, (rounded down). That would mean that the percentile is:
pth=*100=71.27 or 71, rounded down
c. 0.856 was heavier than 229 others, meaning it is in the 230th position out of 463. In relation to 100, so is 0.4967 or about 49/100, (rounded down). That would mean that the percentile is:
pth=*100=49.67 or 49, rounded down