MATLAB: An Introduction with Applications

6th Edition

ISBN: 9781119256830

Author: Amos Gilat

Publisher: John Wiley & Sons Inc

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Question

In each of Exercises, we have given the P-value for a hypothesis test. For each exercise, refer to Table to determine the strength of the evidence against the null hypothesis.

P-value | Evidence against H0 |

P > 0.10 | Weak or none |

0.05 < P ≤ 0.10 | Moderate |

0.01 < P ≤ 0.05 | Strong |

P ≤ 0.01 | Very strong |

P = 0.004

Expert Solution

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Step 1

**Decision criterion:**

If the p-value of the test is less than or equal to the level of significance, reject the null hypothesis. Otherwise, fail to reject the null hypothesis.

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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions

In each of Exercises, we have given the P-value for a hypothesis test. For each exercise, refer to Table to determine the strength of the evidence against the null hypothesis.
P-value
Evidence against H0
P > 0.10
Weak or none
0.05 < P ≤ 0.10
Moderate
0.01 < P ≤ 0.05
Strong
P ≤ 0.01
Very strong
P = 0.086

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A researcher is testing a two-tailed null hypothesis at the p < .01 level with df = 48. What critical value would she or he use? Justify your answer.

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The p-value for a hypothesis test turns out to be 0.05015. At a 2% level of significance, what is the proper decision?
Reject H0H0
Fail to reject H0

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The P-value for a hypothesis test is 0.06. For each of the fol-lowing significance levels, decide whether the null hypothesis should be rejected. a. α = 0.05b. α = 0.10 c. α = 0.06

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Find the P-value for a left-tailed hypothesis test with a test statistic of
z=−1.96.
Decide whether to reject
H0
if the level of significance is
α=0.05.

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In each of Exercises, we have stated the purpose for performing a hypothesis test to compare the means, µ1 and µ2, of two populations. For each exercise,
a.determine the null and alternative hypotheses. Note: Always place the mean of Population 1 on the left.b.classify the hypothesis test as two tailed, left tailed, or right tailed.
The primary concern is deciding whether the mean of Population 1 is greater than the mean of Population 2.

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The vice-president of administration wonders whether employees are taking adequate amounts of vacation time. Employee burnout is a concern. Research suggests that an employee taking less than 1.4 weeks of vacation annually is very likely to experience burnout.
Analyze the employee vacation data and conduct a hypothesis test with the following results:
t = 2.93p = 0.0084
What reasons should the vice-president provide to the president to justify the recommendation on employee burnout?
Based on the data, is the presence of employee burnout an issue that may negatively impact the company?

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For the T-test of the single sample, does the GPA of a group of students who were considered gifted in primary school is higher than the university's mean GPA?
How do you state your hypothesis and then how do you decide based on the t-test if we should reject the null hypothesis?

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Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses?
A. H0: μ=60 seconds H1: μ≠60 seconds
B. H0: μ=60 seconds H1: μ<60 seconds
C. H0: μ=60 seconds H1: μ>60 seconds
D. H0: μ≠60 seconds H1: μ=60 seconds
Determine the test statistic.
(Round to two decimal places as needed.)
Determine the P-value.
(Round to three decimal places as needed.)

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A ski lift manager is interested in the average daily number of ski lift users. In previous years, fewer than 945 people, on average, have used the ski lift daily over the winter season. The manager suspects this average has increased in recent years.
If the ski lift manager chooses to use the p-value approach for his hypothesis test, what does he need to compare the p-value to?

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A small diner gets eggs from 2 suppliers. a sample of 50 eggs from supplier A had a STDEV of 1.1 grams. a sample from supplier B of 40 eggs had a STDEV of .75 grams.a) Construct a 99% confidence for STDEV of supplier BB) at a 4% confidence, conduct a hypothesis test to determine if theres any difference in STDEV between supplier a and b

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Dreamfilms Studios boasts that its summer features are so good that at least half of all tickets sold one summer are for its films. A competing studio claims that less than half of all tickets sold are for Dreamfilms' movies. After the hypothesis test is completed, the conclusion is to fail to reject the null hypothesis. If the true percentage of tickets sold for Dreamfilms Studios' movies that summer was only 48%, was an error committed? If so, what type?

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