Maya was painting her room. She has 3.25 gallons of paint. She wants to use 3/5 of the paint. How many gallons of paint will May
1 answer:
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Answer:
y = x +
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
here m = , hence
y = x + c ← is the partial equation
to find c substitute (- 2, 11) into the partial equation
11 = - + c ⇒ c =
y = x +
← equation of line
Answer:
95% confidence interval for the mean time required to earn a bachelor’s degree by all college students is [5.10 years , 5.20 years].
Step-by-step explanation:
We are given that the National Center for Education Statistics surveyed a random sample of 4400 college graduates about the lengths of time required to earn their bachelor’s degrees. The mean was 5.15 years and the standard deviation was 1.68 years respectively.
Firstly, the pivotal quantity for 95% confidence interval for the population mean is given by;
P.Q. = ~ N(0,1)
where, = sample mean time = 5.15 years
= sample standard deviation = 1.68 years
n = sample of college graduates = 4400
= population mean time
<em>Here for constructing 95% confidence interval we have used One-sample z test statistics although we are given sample standard deviation because the sample size is very large so at large sample values t distribution also follows normal.</em>
<u>So, 95% confidence interval for the population mean, </u><u> is ;</u>
P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5%
level of significance are -1.96 & 1.96}
P(-1.96 < < 1.96) = 0.95
P( <
<
) = 0.95
P( <
<
) = 0.95
<u>95% confidence interval for</u> = [
,
]
= [ ,
]
= [5.10 , 5.20]
Therefore, 95% confidence interval for the mean time required to earn a bachelor’s degree by all college students is [5.10 years , 5.20 years].