Salmon Weights: Assume that the weights of spawning Chinook salmon in the Columbia river are normally distributed....

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Salmon Weights: Assume that the weights ofspawning Chinook salmon in the Columbia river are normallydistributed. You randomly catch and weigh 17 such salmon. The meanweight from your sample is 22.2 pounds with a standard deviation of4.4 pounds. You want to construct a 95% confidence interval for themean weight of all spawning Chinook salmon in the ColumbiaRiver.

(a) What is the point estimate for the mean weight of allspawning Chinook salmon in the Columbia River?
pounds

(b) Construct the 95% confidence interval for the mean weight ofall spawning Chinook salmon in the Columbia River. Roundyour answers to 1 decimal place.
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(c) Are you 95% confident that the mean weight of all spawningChinook salmon in the Columbia River is greater than 18 pounds andwhy?

No, because 18 is above the lower limit of the confidenceinterval.Yes, because 18 is below the lower limit of the confidenceinterval.     No, because 18 is below thelower limit of the confidence interval.Yes, because 18 is above thelower limit of the confidence interval.


(d) Recognizing the sample size is less than 30, why could we usethe above method to find the confidence interval?

Because the parent population is assumed to be normallydistributed.Because the sample size is greater than10.     Because we do not know thedistribution of the parent population.Because the sample size isless than 100.

Answer & Explanation Solved by verified expert
3.6 Ratings (326 Votes)
a point estimate for the mean weight of all spawning Chinook salmon in the Columbia River222 sample mean is the unbiased estimated of the population mean so sample mean    See Answer
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