
Katie Sr Yr stats practice set 3 (problem 10)
Authored by C Brown
Mathematics
9th - 12th Grade
CCSS covered
Used 1+ times

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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Problem 1: Coffee Temperature A barista claims that their coffee is served hotter than the industry standard of 160°F. A health inspector randomly samples 25 cups and finds an average temperature of 165.2°F with a sample standard deviation of 4.5°F. Test the barista’s claim at the 0.05 significance level. Part 1: Hypotheses - What are the null and alternative hypotheses?
H0:μ=160,H1:μ>160
H0:μ=160,H1:μ≠160
H0:μ=165.2,H1:μ160,H1:μ=160
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Problem 2: Test Statistic What is the value of the test statistic?
4.23
5.78
3.15
2.61
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Problem 3: What is the P-value?
1.025×10−6
6.018×10−7
2.51×10−5
4.32×10−4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Problem 4: Decision - What is the appropriate decision?
Fail to reject H0
Increase the significance level
Reject H0
Retest using a z-test
Tags
CCSS.7.SP.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Problem 5: Conclusion What conclusion can be made?
There is strong evidence that the coffee is hotter than 160°F
There is not enough evidence to support the barista’s claim
There is strong evidence that the coffee is cooler than 160°F
The coffee temperature is exactly 165.2°F
Tags
CCSS.HSS.IC.B.4
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Problem 6: Test Prep Class Effectiveness A test prep company claims their students score higher than the national average of 510 on the SAT Math section. A random sample of 40 students shows an average score of 527 with a standard deviation of 28 points. Test the company’s claim at the 0.05 significance level. Part 1: Hypotheses What are the null and alternative hypotheses?
H0:μ=510,H1:μ510
H0:μ>510,H1:μ=510
H0:μ=527,H1:μ≠527
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Problem 7: Test Statistic What is the value of the test statistic?
3.17
4.01
3.84
2.95
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