Question 3

  • Z-score will not be changed after conversion

    Normal, Bell-shaped Curve Percentage of cases in 8 portions of the curve Standard Deviations Cumulative Percentages Percentiles Z scores T scores Standard Nine (Stanines) in Stanine .13% -40 -4.0 2.14% 4% 13.59% 34.13% 34 13.59% 2.140/0 1 +30 .13% -30 -3.0 20 -20 2.3% -2.0 30 5 -10 15 9% 10 20 30 40 50 60 70 -1.0 40 50 84.1% 80 90 60 +20 97 70 + 40 95 99 40/0 99.9% +3.0 80 7% 12% 17% 17% 12% 7%

Question 13

  • Standard deviation of the sample distribution

    MEAN AND STANDARD DEVIATION OF cont. Standard Deviation of the Sampling Distribution of X The standard deviation of the sam lin distribution of x is n where o is the standard deviation of the population and n is the sample size. This formula is used when n /N .05, where N is the population size. 23

  • Standard deviation of the sample proportion

    Mean and Standard Deviation of i) cont. Standard Deviation of the Sample Proportion The standard deviation of the sample , is denoted by and is given by the formula n Where p is the population proportion, q = 1 —p , and n is the sample size. This formula is used when n //VS .05, where Nis the population size. 91

Question 20

22 Z-Test for testing difference Test Condition Populations are normal Samples happen to be large, Population variances are known Ha may be one-sided or two sided Test Statistics 2 2 0—2.1 + —

Question 20

Hypothesis Tests for Two Population Proportions Lower-tail test: Ho: PI — \> O -z Reject HO if Z < -4 Population proportions Upper-tail test: Ho: PI — SO z Reject Ho (continued) Two-tail test: Ho: PI — P2 = O -z z s 'vial Microsoft Excel, 4e 0 2004 Prentice-Hall, Inc. Reject HO if Z < or Chap 9-36

020.05 1.645 2 Rejection Region for Upper-Tailed Z Test (HI: p \> pc ) with a—O.05

Rejection Region for Lower-Tailed Z Test (HI: p < pc ) with a 20.05

a/2-o.025 (1/220,025 Rejection Region for Two-Tailed Z Test (HI: u u o ) with a 20.05

Question 23

In statistical hypothesis testing, a type I error is the incorrect rejection of a true null hypothesis (a "false positive"), while a type Il error is incorrectly retaining a false null hypothesis (a "false negative"). Type I and type Il errors - Wikipedia https://en.wikipedia.org/wikiffype\_l\_and\_type\_ll\_errors

Question 24

  • Standard error of the difference

    xł-x

Question 28

point estimator margin of error (m) confidence multiplier n standard deviation of point estimator

Confdence level 900/0 950/0 9996 99,90/0 Z value 1.65 1.96 2,58 3.291

Question 32

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Question 37

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