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  • WELCOME TO STATISTICS AND PROBABILITYCLASS
  • Hello there!I am Mrs. Stats and I will be your math teacher in the Statistics and Probability.
  • HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:VARIANCE IS KNOWN
  • When the Population Variance  is Known, the appropriate test statistic to used is z-test.
  • A test statistic is a random variable that is calculated from sampledata and used in a hypothesis test. You can use test statistics to determinewhether to reject or accept the null hypothesis. The test statistic comparesyour data with what is expected under the null hypothesis.
  • WHAT IS ATEST STATISTIC?
  • WELCOME TO STATISTICS AND PROBABILITYCLASS
  • Today, I will discuss how to determine the appropriate test statistic whenVARIANCE IS KNOWN, VARIANCE IS UNKNOWN,andCENTRAL LIMIT THEOREM IS USED.
  • What is a z-test?Z-testis a statisticaltestto determine whether two population means are different when the variances are known and the sample size is large.
  • HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:VARIANCE IS KNOWN
  • REMEMBER:Z-test is the appropriate tool to used when:The population standard deviation (σ)is known.The population is normally distributed.A z-score is calculated with population parameters.It is used to validate a hypothesis that the sample drawn belongs to the same population.The sample is large (n ≥ 30).
  • HOW TO DETERMINE THE APPROPRIATE TOOL WHEN:VARIANCE IS KNOWN
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