Question
Write a number from 1 to 5 to put the 5 steps of Hypothesis Testing in the correct order Answer Formulate the Decision Rule Answer
Write a number from 1 to 5 to put the 5 steps of Hypothesis Testing in the correct order
Answer | Formulate the Decision Rule |
Answer | State the Null Hypothesis (H0) and the Alternative Hypothesis (H1) |
Answer | Select the Test Statistic |
Answer | Make a Decision and Interpret the Result |
Answer | Select a Level of Significance |
What test statistics did we study? (select all that apply)
2
F
z
t
Q
PART 2
A company has invested in new IT assets and thinks that the investment has increased productivity.
Before the upgrade, revenuewas $3000/h with a standard deviation of $100/h
What will be the null and alternative hypotheses?
H0: | Answerxs | Answer"""="">""""<""" | $Answer |
H1: | Answersx | Answer""""">""<""=""" | $Answer |
PART 3
A large food company has an old filling/packing machine on their production line. They are worried that it might not be meeting trade regulations on accuracy in labelling. These regulations protect consumers from receivingless product than they paid for.
It is set to fill bottles with 100.0 g of sauce each. Taking a sample of bottles from the line revealed the following weights (grams) in each bottle.
95 |
95 |
105 |
95 |
90 |
95 |
100 |
90 |
95 |
90 |
Calculate the following
Sample size (n) | Answer |
Sample mean (x) | Answer |
Standard deviation | Answer |
The question is, at the 0.01 significance level, can we conclude that the mean weight is less than 100.0 g?
(a) State the null hypothesis and the alternative hypothesis.
H0: | Answersx | Answer"<""""="">""""" | Answerg |
H1: | Answersx | Answer"<"""">""""=""" | Answerg |
(b) How many degrees of freedom are there?
Answer
(c) Give the decision rule. (what is the critical value of the test statistic?)
Reject H0 if | Answerzt | Answer"""""""<"">""=" | Answer |
(d) Compute the test value of t.
Answer
(e) What is your decision regarding the null hypothesis?
AnswerNo conclusionFail to reject H1Reject H0 and accept H1
So, at the 0.01 significance level, can we conclude that the mean weight is less than 100.0 g?
Answercannot concludeYesNo
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