A medical researcher treats 400 subjects with high cholesterol using a new drug. After two months of taking the drug, the average decrease in cholesterol level is = 90 and the researcher assumes that the decrease in cholesterol follows a Normal distribution, with unknown mean and standard deviation = 20. A 95% confidence interval for is: a.90 ± 2.35. b.90 ± 1.96. c.90 ± 3.92. d.90 ± 2.94. A veterinarian collects data on the number of times race horses are raced during their careers. The veterinarian finds that the average number of races a horse enters is = 15.3, with a standard deviation of s = 6.8 in a sample of n = 20 horses. A 95% confidence for , the average number of times a horse races, is given by: a.(11.38, 19.22). b.(12.32, 18.28). c.(12.12, 18.48). d.(10.95, 19.65).

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 4GP

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A medical researcher treats 400 subjects with high cholesterol using a new drug. After two months of taking the drug, the average decrease in cholesterol level is = 90 and the researcher assumes that the decrease in cholesterol follows a Normal distribution, with unknown mean and standard deviation = 20. A 95% confidence interval for is:

a.
90 ± 2.35.

b.
90 ± 1.96.

c.
90 ± 3.92.

d.
90 ± 2.94.
1. A veterinarian collects data on the number of times race horses are raced during their careers. The veterinarian finds that the average number of races a horse enters is = 15.3, with a standard deviation of s = 6.8 in a sample of n = 20 horses. A 95% confidence for , the average number of times a horse races, is given by:
  
  a.
  (11.38, 19.22).
  
  b.
  (12.32, 18.28).
  
  c.
  (12.12, 18.48).
  
  d.
  (10.95, 19.65).

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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