Question: 1. At an alpha level of .01, test the null hypothesis against the alternative that the mean weight of this sample is no different from
1.At an alpha level of .01, test the null hypothesis against the alternative that the mean weight of this sample is no different from the average population weight (). (5 points)
Step 1: Ho: _=191_
Ha: _191_
Step 2: Alpha level = _.01_
Step 3: Sampling distribution is _t sample (t29)_
Step 4: Decision RuleI will reject the Ho if the |_Tobs_| value falls at or beyond
the |Tcrit_| of _-2.76 or 2.76 otherwise I will fail to reject
Step 5: Calculation\_tobs_/ = (150.90-191)/6.84 = -5.86
Step 6: SummarySince the |_Tobs_| of _-5.86_ falls at or beyond the |_Tcrit_| of _-2.76_, I therefore _reject the Ho_.
Step 7: ConclusionSince _rejection of_ Ho occurred; I conclude that _there is a significant difference_ in mean weight value.
2.Construct appropriate confidence intervals for questions 1 and 2. (5 points)
CI for question 1 = 95% CI = 62.10 63.00 63.90
CI for question 2 = 99% CI = 173.38 191.00 208.621.At an alpha level of .01, test the null hypothesis against the alternative that the mean weight of this sample is no different from the average population weight (). (5 points)
Step 1: Ho: _=191_
Ha: _191_
Step 2: Alpha level = _.01_
Step 3: Sampling distribution is _t sample (t29)_
Step 4: Decision RuleI will reject the Ho if the |_Tobs_| value falls at or beyond
the |Tcrit_| of _-2.76 or 2.76 otherwise I will fail to reject
Step 5: Calculation\_tobs_/ = (150.90-191)/6.84 = -5.86
Step 6: SummarySince the |_Tobs_| of _-5.86_ falls at or beyond the |_Tcrit_| of _-2.76_, I therefore _reject the Ho_.
Step 7: ConclusionSince _rejection of_ Ho occurred; I conclude that _there is a significant difference_ in mean weight value.
2.Construct appropriate confidence intervals for questions 1 and 2. (5 points)
CI for question 2 = 99% CI = 173.38 191.00 208.62
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