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
- In a previous lab we tested the following hypotheses,
H0 :?=4.73 andHa :?<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 variableH0 :?=4.73 HA :??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.
- Std. Err (standard error)
- T-stat (T-score)
- P-value
- 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 : Mean of the difference between Regular seed and Kiln-dried seedH0 :?D=0 HA :?D<0 Module 22 – Matched Pairs Lab (14 of 19 groupwork 2)
Prompt
- State the hypotheses and define the parameter.
- 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).
- Which graph is used to check conditions? Why?
- What do we look for in the graph to verify that conditions are met?
- What else do we need to know about the sample of seeds before using the T-test?
- 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. - State a conclusion based on the context of this scenario.
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