testing for difference in means with a z-statistic.

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• t-statistic as opposed to a z-statistic for small test samples

  We can use the same 5-step hypothesis testing procedure, the only difference is when you compute a z-statistic, you compute a t-statistic instead. Then you use t-distribution to compute the p-value.

• Chi Square Distribution Differences

  A z-statistic, on the other hand is very versatile and is used in hypothesis testing of means, proportions, creating confidence intervals, testing for regression etc, provided the underlying population follows a normal distribution.

• Statistics Comparison involving means

  Compare the z-statistic with the critical value For 95% confidence interval, the value of z-statistic (critical value) (from standard normal distribution table) = 1.96 5.

• Multiple choice questions on Test of hypothesis

  for testing the hypothesis that there is no difference in the arrival times of planes from the two airlines is: A) t=1.7983 (B) Z =1.2185 (C) t= 1.5240 (D) Z=2.4397 6) Are Japanese manager more motivated than American manager?

• Null & Alternative Hypothesis & Five-Step Prodcedure

  There is a difference in the population means, namely the population mean of the first population is greater than that of the second population. e).

• Is there a difference in the mean number of times men and women order take-out dinners in a month?

  =(difference of means -hypothesized difference of means )/standard error of difference of mean = 1.8713 =(1.82-0)/0.9726 4) Compare sample statistic with critical value test statistic= 1.8713 z critical

• Independent sample t test

  Sample Mean 185 Population Standard Deviation estimate 94.86833 Intermediate Calculations Difference in Sample Means 75 Standard Error of the Difference in Means 14.78416 Z-Test Statistic 5.072997 Two-Tailed Test Lower Critical Value

• Test of hypothesis for difference between means

  167537 Test of hypothesis for difference between means: Prepare answers for the following Exercises and show all of your work in an Excel spreadsheet. A sample of 40 observations is selected from one population.

• Hypothesis Testing for AIU Responses to Job Satisfaction Survey Variables

  To test for difference in the intrinsic satisfaction level of the workers when grouped as to position using t-test of difference between means, the following were the results: a) Test statistic used is t-test of difference between means b) α = .05

• Test of hypothesis-difference between means

  Since we are working with large sample size we will use z distribution The test statistic is z No of tails= 1 This is a 1 tailed test because we are testing Mean 1< Mean 2 Significance level= 0.01