08.05.2022

Suppose that a travel bureau claims that the trees in a forest are 83 feet tall on average, with a standard deviation of 2 feet. If you took a sample of 64 trees, which of the following mean heights would be outside the 95% confidence interval

. 11

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Mathematics
Step-by-step answer
P Answered by Master

Explanation:

Given mean = 84,

Standard deviation = 2,

Sample 64,  

95% confidence interval: z = 1.96

Applying empirical rule , means that 95% of data fall within two standard deviations.

ME = 1.96*\frac{2}{\sqrt{8}} = 0.49

Rounding this to 0.5

CI =  83.5< mean < 84.5

Outside of this range=  x ≤ 83.5  and ≥  84.5

Mathematics
Step-by-step answer
P Answered by Master

Explanation:

Given mean = 84,

Standard deviation = 2,

Sample 64,  

95% confidence interval: z = 1.96

Applying empirical rule , means that 95% of data fall within two standard deviations.

ME = 1.96*\frac{2}{\sqrt{8}} = 0.49

Rounding this to 0.5

CI =  83.5< mean < 84.5

Outside of this range=  x ≤ 83.5  and ≥  84.5

Mathematics
Step-by-step answer
P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

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