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MATH 160 Cuyamaca College Hypothesis Test for a Population Mean Question

Question Description

I’m working on a statistics discussion question and need guidance to help me learn.

Module 22 – Hypothesis Test for a Population Mean (17 of 19 groupwork 3)

Prompt

  1. In a previous lab we tested the following hypotheses, H0H0: ?=4.73?=4.73 and HaHa: ?<4.73?<4.73 (where ?? is the mean number of alcoholic drinks consumed by students at a liberal arts college).

    In a random sample of 75 students, the mean was 3.93 alcoholic drinks consumed in a week. Here is the StatCrunch output from the hypothesis test.
    ??: Mean of variable
    H0H0: ?=4.73?=4.73
    HAHA: ??4.73??4.73

    Hypothesis test results
    Variable Sample Mean Std. Err. DF T-Stat P-value
    number of drinks per week 3.9333333 0.43592434 74 -1.8275343 0.0717

    Using this context and the StatCrunch output, explain the meaning of each of the following.

    1. Std. Err (standard error)
    2. T-stat (T-score)
    3. P-value
  2. In a previous matched pairs lab we tested the following hypotheses, where ?? is the mean of the differences in corn yield for a plot of land (regular seed minus kiln-dried): H0: µ = 0 and Ha: µ < 0. In a random sample of 11 seeds of each type, the mean of the differences in the sample was -33.7. Here is a StatCrunch print-out of the hypothesis test.

    Paired T hypothesis test:
    ?D=?1??2?D=?1??2: Mean of the difference between Regular seed and Kiln-dried seed
    H0H0: ?D=0?D=0
    HAHA: ?D<0?D<0

    Module 22 – Matched Pairs Lab (14 of 19 groupwork 2)

    Prompt

    1. State the hypotheses and define the parameter.
    2. Checking conditions: Since Gosset invented the T-distribution, we will assume that his sample meets the conditions and proceed with the T-test. Regardless, answer these questions to demonstrate your understanding of the conditions for use of the T-model.

      But first you will need to review the dotplots for the data (opens in a new tab).

      1. Which graph is used to check conditions? Why?
      2. What do we look for in the graph to verify that conditions are met?
      3. What else do we need to know about the sample of seeds before using the T-test?
    3. Use StatCrunch to find the T-score and the P-value. Hint: as you work through the StatCrunch directions, keep in mind that we want to calculate the differences as regular ? kiln-dried . So you will choose Regular seed for Sample 1 and kiln-dried seed for Sample 2. (directions)
      Copy and paste the information in the StatCrunch output window into your initial post.
    4. State a conclusion based on the context of this scenario.

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