Hypothesis Testing & Confidence Interval
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Question 1: James and John want to see who catches the most fish on their fishing trips. It is hypothesized that the two brothers catch the same number of fish. James catches an average of 20 fish in 12 fishing trips with a standard deviation of 3 fish and John catches an average of 24 fish in 15 fishing trips with a standard deviation of 5 fish. Is there any evidence to support the claim that John catches more fish at the =.05 level? Remeber to use all four steps.
Question 2: James and John want to make a 99% confidence interval for James fish minus Johns fish. James carches an average of 30fish in 15 fishing trips with a standard deviation of 5 fish and John catches an average of 24 fish in 9 fishing trips with a standard deviation of 15 fish. Remember to use all four steps to confidence intervals
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Hypothesis Testing and Confidence Interval quests are examined.
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Question 1: James and John want to see who catches the most fish on their fishing trips. It is hypothesized that the two brothers catch the same number of fish. James catches an average of 20 fish in 12 fishing trips with a standard deviation of 3 fish and John catches an average of 24 fish in 15 fishing trips with a standard deviation of 5 fish. Is there any evidence to support the claim that John catches more fish at the =.05 level? Remember to use all four steps.
Answer
Step 1: State the hypotheses.
The null hypothesis tested is
H0: The two brothers catch the same number of fish. (µ1= µ2)
The alternative hypothesis is
H1: John catches more fish than James. (µ1> µ2)
Step 2: Set the criteria for a decision.
Significance level, α = 0.05
Rejection criteria: Reject the null hypothesis, if the calculated value of test statistic is greater than the critical value of t with d.f. 25 at the ...
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