Question

The mean cost of a five pound bag of shrimp is 40 dollars with a variance...

The mean cost of a five pound bag of shrimp is 40 dollars with a variance of 36.
If a sample of 43 bags of shrimp is randomly selected, what is the probability that the sample mean would differ from the true mean by more than 2.5 dollars? Round your answer to four decimal places.

Homework Answers

Answer #1

Solution :

Given that,

mean = = 40

standard deviation = = 6

n = 43

= 40

= / n = 6 / 43

= 1 - P[(2.5) / 6 / 43 < ( - ) / < (2.5) / 6 / 43)]

= 1 - P(-2.73 < Z < 2.73)

= 1 - P(Z < 2.73) - P(Z < -2.73)

= 1 - 0.9937

= 0.0063

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The mean cost of a five pound bag of shrimp is 40 dollars with a variance...
The mean cost of a five pound bag of shrimp is 40 dollars with a variance of 36. If a sample of 43 bags of shrimp is randomly selected, what is the probability that the sample mean would differ from the true mean by more than 2.5 dollars?
The mean cost of a five pound bag of shrimp is 47 dollars with a variance...
The mean cost of a five pound bag of shrimp is 47 dollars with a variance of 36. If a sample of 43  bags of shrimp is randomly selected, what is the probability that the sample mean would differ from the true mean by greater than 1.4  dollars? Round your answer to four decimal places.
The mean cost of a five pound bag of shrimp is 50 dollars with a variance...
The mean cost of a five pound bag of shrimp is 50 dollars with a variance of 64. If a sample of 43 bags of shrimp is randomly selected, what is the probability that the sample mean would differ from the true mean by greater than 1 dollar? Round your answer to four decimal places.
The mean cost of a five pound bag of shrimp is 42 dollars with a variance...
The mean cost of a five pound bag of shrimp is 42 dollars with a variance of 49. If a sample of 54  bags of shrimp is randomly selected, what is the probability that the sample mean would differ from the true mean by more than 1.4  dollars? Round your answer to four decimal places.
The mean cost of a five pound bag of shrimp is 50 dollars with a variance...
The mean cost of a five pound bag of shrimp is 50 dollars with a variance of 64. If a sample of 43 bags of shrimp is randomly selected, what is the probability that the sample mean would be greater than 49 dollars? Round your answer to four decimal places.
The mean cost of a five pound bag of shrimp is 50 dollars with a standard...
The mean cost of a five pound bag of shrimp is 50 dollars with a standard deviation of 8 8 dollars. If a sample of 56 bags of shrimp is randomly selected, what is the probability that the sample mean would differ from the true mean by less than 0.9 dollars? Round your answer to four decimal places.
5. Suppose a large shipment of compact discs contained 12% defectives. If a sample of size...
5. Suppose a large shipment of compact discs contained 12% defectives. If a sample of size 457 is selected, what is the probability that the sample proportion will differ from the population proportion by less than 3%? Round your answer to four decimal places. 6.The mean cost of a five pound bag of shrimp is 46 dollars with a standard deviation of 7 dollars. If a sample of 49 bags of shrimp is randomly selected, what is the probability that...
The mean per capita income is 17,145dollars per annum with a standard deviation of 505 dollars...
The mean per capita income is 17,145dollars per annum with a standard deviation of 505 dollars per annum. What is the probability that the sample mean would differ from the true mean by greater than 40 dollars if a sample of 466 persons is randomly selected? Round your answer to four decimal places.
The cost of 5 gallons of ice cream has a variance of 49 with a mean...
The cost of 5 gallons of ice cream has a variance of 49 with a mean of 31 dollars during the summer. What is the probability that the sample mean would be less than 32.3 dollars if a sample of 31 5-gallon pails is randomly selected? Round your answer to four decimal places. (show work)
The mean weight of an adult is 69 kilograms with a variance of 121 . If...
The mean weight of an adult is 69 kilograms with a variance of 121 . If 31 adults are randomly selected, what is the probability that the sample mean would differ from the population mean by more than 1.3 kilograms? Round your answer to four decimal places.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT