Question

The mean number of words per minute (WPM) read by sixth graders is 93 with a...

The mean number of words per minute (WPM) read by sixth graders is 93 with a standard deviation of 22. If 30 sixth graders are randomly selected, what is the probability that the sample mean would be greater than 97.95 WPM? (Round your answer to 4 decimal places). Show work.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solution :

Given that ,

mean = = 93

standard deviation = = 22

= / n = 22 / 30 = 4.0166

P( > 97.95) = 1 - P( < 97.95)

= 1 - P[( - ) / < (97.95 - 93) / 4.0166]

= 1 - P(z < 1.23)

= 1 - 0.8907

= 0.1093

Probability = 0.1093

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The mean number of words per minute (WPM) read by sixth graders is 81 with a...
The mean number of words per minute (WPM) read by sixth graders is 81 with a standard deviation of 17 WPM. If 130 sixth graders are randomly selected, what is the probability that the sample mean would differ from the population mean by greater than 2.11 WPM? Round your answer to four decimal places.
The mean number of words per minute (WPM) read by sixth graders is 83 with a...
The mean number of words per minute (WPM) read by sixth graders is 83 with a standard deviation of 12 WPM. If 89 sixth graders are randomly selected, what is the probability that the sample mean would differ from the population mean by greater than 1.4 WPM? Round your answer to four decimal places.
. The mean number of words per minute (WPM) read by sixth graders is 87 with...
. The mean number of words per minute (WPM) read by sixth graders is 87 with a population standard deviation of 10. If 60 sixth graders are randomly selected, what is the probability that the sample mean would differ from the population mean by more than 5 WPM?
13. The mean number of words per minute (WPM) typed by a speed typist is 140...
13. The mean number of words per minute (WPM) typed by a speed typist is 140 with a variance of 196. What is the probability that the sample mean would differ from the population mean by more than 4.5 WPM if 76 speed typists are randomly selected? Round your answer to four decimal places. 15. The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 37,724 miles, with a standard deviation of 2536...
The reading speed of sixth-graders is normally distributed with a mean speed of 125 words per...
The reading speed of sixth-graders is normally distributed with a mean speed of 125 words per minute and a standard deviation of 24 wpm. A school psychologist wants to determine reading rates for unusual students (slow and fast). Determine the reading rates of the middle 90% of all sixth-graders. What are the cutoff points for unusual readers? [a] and [b] Round to two decimal places
Suppose that the distribution Of typing speed in words per minute for experience typists using a...
Suppose that the distribution Of typing speed in words per minute for experience typists using a new type of split keyboard can be approximated by a normal curve with a mean 64 words per minute and standard deviation 16 words per minute. a) what is the probability that a randomly selected typist speed is At most 64 wpm? b) What is the probability that a randomly selected typing speed is less than 64 words per minute? c) what is the...
An educational psychologist wishes to know the mean number of words a third grader can read...
An educational psychologist wishes to know the mean number of words a third grader can read per minute. She wants to make an estimate at the 98% level of confidence. For a sample of 948 third graders, the mean words per minute read was 32.8. Assume a population standard deviation of 4.4. Construct the confidence interval for the mean number of words a third grader can read per minute. Round your answers to one decimal place.
An educational psychologist wishes to know the mean number of words a third grader can read...
An educational psychologist wishes to know the mean number of words a third grader can read per minute. She wants to make an estimate at the 99% level of confidence. For a sample of 4592 third graders, the mean words per minute read was 3838. Assume a population standard deviation of 4.6. Construct the confidence interval for the mean number of words a third grader can read per minute. Round your answers to one decimal place
An educational psychologist wishes to know the mean number of words a third grader can read...
An educational psychologist wishes to know the mean number of words a third grader can read per minute. She wants to make an estimate at the 98% level of confidence. For a sample of 997 third graders, the mean words per minute read was 26.826.8. Assume a population standard deviation of 3.7. Construct the confidence interval for the mean number of words a third grader can read per minute. Round your answers to one decimal place.
An educational psychologist wishes to know the mean number of words a third grader can read...
An educational psychologist wishes to know the mean number of words a third grader can read per minute. She wants to make an estimate at the 90% level of confidence. For a sample of 837 third graders, the mean words per minute read was 24.9. Assume a population standard deviation of 5.1. Construct the confidence interval for the mean number of words a third grader can read per minute. Round your answers to one decimal place.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT