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
a. Calculate the standard error of this sample mean.
b. Determine and interpret a 90% confidence interval for the mother’s mean age (at student’s birth) in the population of all students at this university.
c. How would a 99% confidence interval compare to the 90% interval in terms of its midpoint and half-width?
d. Would you expect 90% of the ages in the sample to be within the 90% confidence interval? Explain why or why not.
e. Even if the distribution of mothers’ ages were somewhat skewed, would this confidence interval procedure still be valid with these data? Explain why or why not.

  1. 👍 0
  2. 👎 0
  3. 👁 224
  1. a. The standard error of the sample mean is 4.564/sqrt(36) = 0.7607

    b. yes The mother's mean age student birth lie in interval (28.358, 30.928)

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Statistics

    A survey of statistics students asked the students for their favorite fast-food restaurant. The results of the survey are provided in the table. Identify the modal class from the distribution. FAVORITE FAST-FOOD RESTAURANT

  2. Statistics

    Which Professor? Suppose Professor Alpha and Professor Omega each teach Introductory Biology. You need to Decide which professor to take the class from and have just completed your introductory statistics course. Records obtained

  3. Statistics

    A survey of statistics students asked the students for their favorite music genre. The results of the survey are provided in the table. Identify the modal class from the distribution. FAVORITE MUSIC GENRE Genre--------Frequency

  4. basic statistics for the behavioral sciences

    there are 80 students enrolled in statistics. (a)you and 11 other earned the same score. what percent of the class received your score? (b)forty percent of the class received a grade of C. how many students received a C? (c) only

  1. Psychology

    An essential part of scientific thinking is not only how to use statistics correctly, but also how to identify the misuse of statistics. Our textbook authors suggest that students should: Answer distrust all statistics because

  2. statistics

    In a recent survey in a Statistics class, it was determined that only 60% of the students attend class on Thursday. From past data it was noted that 98% of those who went to class on Thursday pass the course, while only 20% of

  3. stats

    A random sample of 12 joggers was asked to keep track and report the number of miles they ran last week the responses are: 5.5 7.2 1.6 22.0 8.7 2.8 5.3 3.4 12.5 18.6 8.3 6.6 a) Compare the three statistics that measure central

  4. Statistics

    A statistics class is made up of 60% women and has 21 women in it. What is the total number of students in the class?

  1. Probability and Statistcis

    Students from a statistics class were asked to record their height in inches. The heights ( as recorded) were: 65, 72, 68, 64, 60, 55, 73, 71, 52, 63, 61, 74, 69, 67, 74, 50, 4, 75, 67, 62, 66, 80, 64, 65 Find five number summary.

  2. mathematical methods for economics

    in a class of 300 students,they were given mathematics test in three subjects namely,economics,statistics and mathematics,90 students failed in economics,100 failed in statistics,96 failed in mathematics,60 failed in economics and

  3. statistics

    In a statistics class of 45 students, 12 have a strong intrest in statistics. If two students are selected at random from this class, what is the propability that both of them have a strong interest in statisitcs?

  4. statistics

    1. The exam scores for the students in an introductory statistics class are as follows. 88 63 90 64 82 98 96 75 89 86 76 84 70 67 34 89 85 39 81 96 92 85 a. Compute the mean and the median score. b. Identify the shape of the

You can view more similar questions or ask a new question.