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

New Attempt

Prompt

1. In a previous lab we tested the following hypotheses, H0$H_0$: ?=4.73$?=4.73$ and Ha$H_a$: ?<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
   H0$H_0$: ?=4.73$?=4.73$
   HA$H_A$: ??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
   H0$H_0$: ?D=0${?}_D=0$
   HA$H_A$: ?D<0$?D<0 Module 22 – Matched Pairs Lab (14 of 19 groupwork 2) New Attempt 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. "Place your order now for a similar assignment and have exceptional work written by our team of experts, guaranteeing you "A" results." $