Statistics
posted by Cam .
A random sample of 50 students chosen from an elementary school with 400 students was found to have a mean allowance of $26 per week with a standard deviation of $8. Obtain a 98% confidence interval for the total amount of allowance money given to students in this school per week.

262.33*8/sqrt((50)), 26+ 2.33*8/sqrt((50)),
= ( , ) ? 
That's what I originally did but it's not one of the correct answers

[ 23.37, 28.63]

$9,531 to $11,269
$9,347 to $11,453
$10,028 to $10,772
$9,414 to $11,386
Are my multiple choice 
mean 26(400) = $10400
Standard deviation = 8(400) = 3200
10400+ 2.3263*3200/sqrt(50))
[$9,347, 11,453] 
Thank you so much !
Respond to this Question
Similar Questions

Statistics
A random sample of 14 college female students revealed their average height was 66.1 inches. a) How many students should be in a samle if a 95% confidence interval is to have a margin of error of only plus/minus 1 inch? 
Statistics
Thirty random students took a calc test. If the sample mean was 90 & the standard deviation was 13.9, construct a 99% confidence interval for the mean score of all students. Is the answer 83.03 to 96.97? 
Statistics
28. A group of statistics students decided to conduct a survey at their university to find the average (mean) amount of time students spend studying per week. Based on a simple random sample, they surveyed 144 students. The statistics … 
statistics
A sample of 400 high school students showed that they spend an average of 70 minutes a day watching television with a standard deviation of 14 minutes. Another sample of 500 college students showed that they spend an average of 55 … 
statistics
A random sample of 36 statistics students were asked to add a column of numbers. The amount of time required to compute the sum was recorded for each student. The sample mean time was 54 seconds with a sample standard deviation of … 
statistics
To determine how many hours per week freshmen college students watch television, a random sample of 225 students was selected. It was determined that the students in the sample spent an average of 35 hours watching TV per week. The … 
Statistics
3. The average weekly allowance of students last year at a private high school was Php 800.00 per week, based on an enrollment of 2000 students. The junior high school students who did not have this information interviewed 50 students … 
AP Statistics
A school psychologist reports that the mean number of hours the students at this school sleep each night is 8 hours. The students believe the mean is not 8 hours. To find an estimate of the true mean, they select a random sample of … 
Math Statistics
5. Students in an introductory statistics class were asked to report the age of their mothers when they were born. Summary statistics include Sample size: 36 students Sample mean: 29.643 years Sample standard deviation: 4.564 years … 
statistics
A random sample of 100 students from a high school was selected. If a 98% confidence interval estimate for the mean age of students is calculated to be 14.2511 to 14.9489, then the standard deviation of the sample mean is?