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SECTION 1 Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks this average is currently

SECTION 1

Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks this average is currently true. The population standard deviation is 1.4. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Conduct a hypothesis test at 0.05 level of significance.

  1. What is the null hypothesis? A. Ho: =4.5 B. Ho:4.5
  2. What is the alternative hypothesis? A. Ha: =4.5 B. Ha:4.5
  3. What is the test statistic? Round answer to two decimal places.
  4. What is the p-value? Round answer to three decimal places.
  5. What is the conclusion when you compare the p-value and the level of significance (alpha)? a. Reject the null hypothesis b. Fail to reject the null hypothesis
  6. What is the conclusion based on the original claim? A. At the 5% level of significance, the mean number of hours teenagers spend on the phone each week is 4.5 years. B. At the 5% level of significance, the mean number of hours teenagers spend on the phone each week is not 4.5 years.

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