$840 is roughly 36 percent of $2,330, when rounded to the nearest tenth Dustin spends 40% on rent.
Answer:
Step-by-step explanation:
Given that,
H0 : µ = 50
Ha : µ ≠ 50
α = 0.05
x¯ = 47
s = 5.5
To find the score, we will use the formula below,
z =(x¯ − µ)/s/√n
z =47 − 50/5.5/√30
z = −3.0/1.0042
z = -2.988
z ≈ -3
The cumulative area for this z-score is 0.0013.
This is a two-tailed test:
P = 2(0.0013) = 0.0026.
Since P = 0.0026 < 0.05 = α, we make the decision to reject the null hypothesis.
This means that there is not enough statistical evidence to support the advertiser’s claim of an average of 50 miles per gallon.
Also,
The critical value for a two tailed test is zc = 1.96
Since it is observed that
|z| = |-3| = 3> 1.96 = zc
It is then concluded that the null hypothesis is rejected.
Confidence interval
Xˉ ± zc • σ/√n
47 ± 1.96 ×5.5/√30
47 ± 1.96
(45.032, 48.968) gallons
<h3>
Answer: 52</h3>
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Explanation:
Let's use the recursive rule to find f(2)
We'll plug n = 2 into the second equation to find that...
f(n) = ( f(n-1) )^2 + 3
f(2) = ( f(2-1) )^2 + 3
f(2) = ( f(1) )^2 + 3
f(2) = ( 2 )^2 + 3
f(2) = 4 + 3
f(2) = 7
Notice in the jump from lines 3 to 4, we go from f(1) to 2. So f(2) is dependent on what f(1) is.
In other words, the second term is dependent on the first term.
--------------------
Likewise, f(3) is dependent on f(2)
Plug n = 3 into the recursive definition to find the following
f(n) = ( f(n-1) )^2 + 3
f(3) = ( f(3-1) )^2 + 3
f(3) = ( f(2) )^2 + 3
f(3) = ( 7 )^2 + 3
f(3) = 49 + 3
f(3) = 52
The third term of this recursive sequence is 52.
Answer:
7.9
Step-by-step explanation:
5.8+2.1=7.9
Considering the number of questions incorrect from classmates on a quiz {10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19,
IrinaK [193]
Answer:
According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02
Step-by-step explanation:
We are given the following data in the question:
10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19, 20
Formula:
where are data points, is the mean and n is the number of observations.
Sum of squares of differences = 25 + 16 + 9 + 4 + 4+ 4 + 1 + 0+ 1+ 1 + 4 + 9 + 9+ 16 + 25 = 128
Empirical rule:
- According to this rule almost all the data lies within three standard deviation of the mean for a normal distribution.
- About 68% of data lies within one standard deviation of the mean.
- About 95% of data lies within two standard deviations of mean.
- Arround 99.7% of data lies within three standard deviation of mean.
Thus, by empirical rule,
According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02