math

posted by .

A score of 243 is a "basic" reading level.
Scores for a random sample of 3000 students had a xbar = 250 with a standard error 1.0
The 99% confidence interval for the mean score all students in the city is 247.4 to 252.6.

Ques: Is there good evidence that the mean for all students in the city is less than the basic level?

Ans: 243 is not in the 99% confidence level. It is below.
The answer in the back of the book says:"we would fail to reject Ho: u=243 against the one-sided alternative hypothesis Ha: u (less than) 243 at the 1% significance level."

I do not understand the book answer "we would fail to reject..."

Does this mean there IS good evidence that the mean is less than the basic level? or NOT?

  • math -

    Ho: µ = 243
    Ha: µ < 243

    I would definitely reject Ha. But since we have only two hypotheses, that would leave me to "fail to reject" Ho. However, I would rather accept Ha: µ > 243, but that was not an included hypothesis.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Statistics

    Help me understand this problem, I have several more like this & want to get an understanding on to solve it: The mean score,x, on an aptitude test for a random sample of 9 students was 64. Assuming that standard deviation=16, construct …
  2. 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?
  3. statistics

    what are the mean and standard deviation of a sampling distribution consisting of samples of size 16?
  4. statistics

    Pleas HeLp!!!!!!!!!! A random sample of the test scores of 100 applicants for college entry at a large junior college showed a mean score of 72.6. Determine a 99%, 95%, and 90% confidence interval for the m mean score of all applicants …
  5. statistics

    Reading placement scores for a particular college are normally distributed with a mean of 72 and a standard deviation of 7. a) draw a sketch of the reading placement scores for students at this college. be sure to mark the mean and …
  6. math

    A score of 243 is a "basic" reading level. Scores for a random sample of 3000 students had a xbar = 250 with a standard error 1.0 The 99% confidence interval for the mean score all students in the city is 247.4 to 252.6. Ques: Is there …
  7. stats

    To estimate the mean score  of those who took the Medical College Admission Test on your campus, you will obtain the scores of an SRS of students. From published information you know that the scores are approximately Normal with standard …
  8. Math

    The standard deviation of test scores on a certain achievement test Is 11.3. If a random sample of 81 students had a sample score of 74.6 , find a 90% confidence interval estimate for the average score of all students.
  9. MATH (STATS)

    To determine the views of a students on a particular campus about fraternities, an 11-point attitude scale was administered to a random sample of 40 students. This survey yielded a sample mean of 6 (the higher the score, the more favorable …
  10. statistics

    A large school district would like to estimate the mean score for all of its 5th grade students on a certain mathematics achievement test known to produce scores that are normally distributed in this population. In a pilot study, n …

More Similar Questions