11.1 Intro to Tests on Mean

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Mathematics
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9th - 12th Grade
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Easy
Erin Sallette
Used 5+ times
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the parameter of interest for this problem?
p = the actual proportion of the stream that has a dissolved oxygen level below 5 mg/l.
μ= the actual mean dissolved oxygen level of the stream.
x-bar= the actual dissolved oxygen level of the samples of stream water.
p-hat= the actual proportion of the sample that has a dissolved oxygen level below 5 mg/l.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the hypotheses for this test?
3.
MULTIPLE SELECT QUESTION
45 sec • 1 pt
Select 2 answers that correspond with checking the following conditions:
Random Condition Check: Pick the correct check of this condition.
Normal Condition Check: Pick the correct check of this condition.
The sample size is Large by the Central Limit Theorem, so this condition is satisfied.
The population is Normally Distributed, so this condition is satisfied.
The sample size is not Large by the Central Limit Theorem, but when you look at a graph (a boxplot or histogram) of the data, there are no signs of skewness or outliers, so this condition is satisfied (the t-procedure is robust enough for this situation).
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Using the sample mean, x-bar = 4.771, and sample standard deviation, s = 0.9396, and sample size n = 15, calculate the test statistic for this problem. (In your calculator this can be done with a 1-sample t-test, labeled "t-test" in the Tests menu.)
z = −0.94
t = −0.94, df = 14
t = 0.84, df = 14
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If you were to have performed a 1 tail test at the α=0.05 significance level with the alternative hypothesis HA: μ > 31, with these data, would you have found evidence that the pineapples are larger?
Yes, because the P-value would have provided sufficient evidence to reject the null hypothesis.
Yes, because the P-value would not have provided sufficient evidence to reject the null hypothesis.
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