3E1. Which of the following DOES NOT apply to a theoretical normal distribution? (a) The mean, median, and mode are equal (B) The normal distribution is a discrete distribution (x) The normal distribution is bell- shaped (x) The curve never touches the x-axis.

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t8 solve both please

3E1. Which of the following DOES NOT apply to a
theoretical normal distribution? (a) The mean, median,
and mode are equal (B) The normal distribution is a
discrete distribution (x) The normal distribution is bell-
shaped (x) The curve never touches the x-axis.
000000000000
3E2. Fifteen (n=15) Smart Cars were randomly
selected and the highway mileage of each was noted.
The analysis yielded a mean of x=47 miles per gallon
and a standard deviation of s=5 miles per gallon.
Construct a 90%
confidence interval
S
· ( √ ) ₁ B = x + ²² ( √ ))
Conf. Int.: A=x-Zan
[Con
Conf. Int.: xtan
;a=0.10;2=1.7613
for the average highwaymileage of all SmartCars?
(4=_
, B= ____).
11=
=========
3E2. If you want to be 95% confident of
estimating the population mean to within a
sampling error of E=15 and the standard
dviation is assumed to be s= = 20, which sample size
is required.
al2
(E)²
S
[(52) + ] [ 2012-
(zan) s
E
Sample Size:n=
2 = 20.025 = 1.96]
_(+ve integer).
COOCOOCOO 0000
3E1. Find the value of x* that yields the
probability shown, where X is a normally
distributed random variable X with mean
μ=83 and standard deviation σ = 4.
P(X<x*) - 0.387076. [P(Z <=) - 0.87076.]
P(X<x*)=0.87076.
Transcribed Image Text:3E1. Which of the following DOES NOT apply to a theoretical normal distribution? (a) The mean, median, and mode are equal (B) The normal distribution is a discrete distribution (x) The normal distribution is bell- shaped (x) The curve never touches the x-axis. 000000000000 3E2. Fifteen (n=15) Smart Cars were randomly selected and the highway mileage of each was noted. The analysis yielded a mean of x=47 miles per gallon and a standard deviation of s=5 miles per gallon. Construct a 90% confidence interval S · ( √ ) ₁ B = x + ²² ( √ )) Conf. Int.: A=x-Zan [Con Conf. Int.: xtan ;a=0.10;2=1.7613 for the average highwaymileage of all SmartCars? (4=_ , B= ____). 11= ========= 3E2. If you want to be 95% confident of estimating the population mean to within a sampling error of E=15 and the standard dviation is assumed to be s= = 20, which sample size is required. al2 (E)² S [(52) + ] [ 2012- (zan) s E Sample Size:n= 2 = 20.025 = 1.96] _(+ve integer). COOCOOCOO 0000 3E1. Find the value of x* that yields the probability shown, where X is a normally distributed random variable X with mean μ=83 and standard deviation σ = 4. P(X<x*) - 0.387076. [P(Z <=) - 0.87076.] P(X<x*)=0.87076.
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