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Identify the appropriate test: z-test or one sample t-test Identify if the test is one-tailed or two-tailed Please state both null and alternative hypotheses Pease

  1. Identify the appropriate test: z-test or one sample t-test
  2. Identify if the test is one-tailed or two-tailed
  3. Please state both null and alternative hypotheses
  4. Pease write a decision rule that states when the investigator should reject the null hypothesis
  5. Please show all calculations needed to generate the appropriate statistic
  6. State your decision as to whether the investigator should reject the null hypothesis
  7. State the conclusion the investigator is entitled to draw (blurb).
  8. If z test, calculate the 95% confidence interval only if test is SIGNIFICANT (reject null hypothesis)
  9. Note, for DF, always use the df that precedes (only if df is not listed on the t table)

  1. The mean Verbal SAT score for the population of first students at Radford is 520. The standard deviation of scores in this population is 95. An investigator believes that the mean Verbal SAT of first year psychology majors is significantly different from the mean score of the population. The mean of a sample of 36 first year psychology majors is 548. Please test the investigator's prediction using an alpha level of .05.

  1. The mean Verbal SAT score for the population of first students at Radford is 520. An investigator believes that the mean Verbal SAT of first year psychology majors is significantly greater than the mean score of the population. The mean of a sample of 36 first year psychology majors is 548. The standard deviation of scores in this sample is 95. Please test the investigator's prediction using an alpha level of .05.

  1. The mean number of close friends for the population of people living in the U.S. is 5.7. The standard deviation of scores in this population is 1.3. An investigator predicts that the mean number of close friends for introverts will be significantly different from the mean of the population. The mean number of close friends for a sample of 26 introverts is 6.5. Do these data support the investigator's prediction? Use an alpha level of .05.

  1. The mean number of close friends for the population of people living in the U.S. is 5.7. An investigator predicts that the mean number of close friends for introverts will be significantly greater than the mean of the population. The mean number of close friends for a sample of 26 introverts is 6.5. The standard deviation of scores in this sample is 1.3. Do these data support the investigator's prediction? Use an alpha level of .05.

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