[See Steps] It is known that a particular laboratory task takes the average person 2.5 seconds. A researcher was interested win whether older people are


Question: It is known that a particular laboratory task takes the average person 2.5 seconds. A researcher was interested win whether older people are slower (take longer) on this task. The researcher tested 30 random selected 80 year-olds. Their mean time was 2.7 seconds, with an estimated population standard deviation of 1.4 seconds.

  1. What is the standard deviation of the distribution of means for this sample?
  2. Why can’t you use the population standard deviation for this problem?
  3. Will you use a one-tailed or two-tailed test and why?
  4. Describe the 5-step hypothesis for this test in full, including a diagram of where the cutoff scores would be

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