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GuDViN [60]
2 years ago
12

Statisticians for a roadside assistance company interviewed 50,000 randomly selected United States (US) households. Of those, 15

,595 reported that they had traveled 50 or more miles from home between December 23 and January 4. If there are 115,000,000 US households, approximately how many of them do the interviews suggest traveled 50 or more miles from home at that time?
Mathematics
1 answer:
I am Lyosha [343]2 years ago
8 0

Answer:

35,868,500 people

Step-by-step explanation:

#We calculate the probability of those who traveled 50+ miles.

-Probability is the likelihood of success. n=50000, p=15595:

P(X\geq 50)=\frac{15595}{50000}\\\\=0.3119

-The US population is 115000000. We determine what fraction of the actual population traveled 50+ miles:

E(X)=np, N=115000000,p=0.3119\\\\=0.3119\times 115000000\\\\\\=35868500

Hence, 35,868,500 people traveled 50+ miles.

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An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. In an earlier s
anyanavicka [17]

Answer:

1,496 new car buyers

Step-by-step explanation:

The sample size n in Simple Random Sampling is given by

\bf n=\frac{z^2p(1-p)}{e^2}

where  

z = 1.645 is the critical value for a 90% confidence level (*)

p= 0.33 is the population proportion.

e = 0.02 is the margin of error

so  

\bf n=\frac{(1.645)^20.33*0.67}{0.02^2}=1,495.76\approx 1,496

<em>(*)</em><em>This is a point z such that the area under the Normal curve N(0,1) inside the interval [-z, z] equals 90% = 0.9</em>

It can be obtained in Excel or OpenOffice Calc with

<em>NORMSINV(0.95)</em>

6 0
2 years ago
A grocery store sells an 18 ounce container of peanut butter for $3.28. What is the cost per ounce (unit price)?
AnnyKZ [126]
Here,
cost of 18 ounce container of peanut butter = $3.28
cost of 1 ounce container of peanut butter = $3.28/18
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7 0
2 years ago
Read 2 more answers
The rabbit population on a small island is observed to be given by the function P(t) = 130t − 0.3t^4 + 1100 where t is the time
Montano1993 [528]
The maximum occurs when the derivative of the function is equal to zero.
P(t)=-0.3t^{4}+130t+1100 \\ P'(t)=-1.2t^{3}+130 \\ 0=-1.2t^{3}+130 \\ 1.2t^{3}=130 \\ t^{3}= \frac{325}{3}  \\ t=4.76702
Then evaluate the function for that time to find the maximum population.
P(t)=-0.3t^{4}+130t \\ P(4.76702)=-0.3*4.76702^{4}+130*4.76702+1100 \\ P(4.76702)=1564.79201
Depending on the teacher, the "correct" answer will either be the exact decimal answer or the greatest integer of that value since you cannot have part of a rabbit.
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2 years ago
A random sample of 25 employees of a local company has been taken. A 95% confidence interval estimate for the mean systolic bloo
liraira [26]

Answer:

(B) ​If the sampling procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

Step-by-step explanation:

A confidence interval of 95% means that there is a 95% certainty that for a given sample, the population mean will be within the confidence interval estimated.

This is the same as saying that if he sampling procedure were repeated many times, 95% of the time the population mean would be contained in the resulting confidence interval.

Therefore, the answer is B)

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2 years ago
Tanvi finds that her robot vacuum can clean her 150-square-foot kitchen in 1 2 of an hour. How many square feet could the robot
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Answer:

Help

Step-by-step explanation:

8 0
2 years ago
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