Answer:
The probability that a random sample of 16 SAT scores has a sample mean between 1440 and 1480 is 0.1464
Step-by-step explanation:
The probability that the sample mean is between 1440 and 1480 is equal to the probability that the sample mean is below 1480 minus the probability that the sample mean is below 1440, or
P(1440 < sample mean < 1480)
=P(sample mean<1480) - P(sample mean<1440)
To find these probabilities we need to calculate the statistic of 1440 and 1480, and it can be calculated as:
t= where
- X is the sample mean (1440,1480)
- M is the mean SAT scores (1518)
- s is the standard deviation (325)
- N is the sample size (16)
then
t(1440)= =-0.96
t(1480)= = -0.4677
using the t table with 15 degrees of freedom we can find that
P(sample mean<1480) = P(t<-0.4677) = 0.3225
P(sample mean<1440) = P(t<-0.96) = 0.1761
Then P(1440 < sample mean < 1480) =0.3225 - 0.1761 = 0.1464
20-1=19 hop this helps :)
The equation of the line of best fit of a scatter plot is y = -8x + 3.
This equation is in slope-intercept form, or y = mx + b, where m is the slope and b is the y intercept.
Thus, the y intercept in this equation is 3.
Answer:
False. It is a number between 0 and 1.