Question

**Salmon Weights:** Assume that the weights of
spawning Chinook salmon in the Columbia river are normally
distributed. You randomly catch and weigh 19 such salmon. The mean
weight from your sample is 28.2 pounds with a standard deviation of
4.6 pounds. You want to construct a 95% confidence interval for the
mean weight of all spawning Chinook salmon in the Columbia
River.

**(a)** What is the point estimate for the mean
weight of all spawning Chinook salmon in the Columbia River?

pounds

**(b)** Construct the 95% confidence interval for the
mean weight of all spawning Chinook salmon in the Columbia River.
**Round your answers to 1 decimal place.**

< *μ* <

**(c)** Are you 95% confident that the mean weight of
all spawning Chinook salmon in the Columbia River is greater than
27 pounds and why?

No, because 27 is above the lower limit of the confidence interval.

Yes, because 27 is below the lower limit of the confidence interval.

No, because 27 is below the lower limit of the confidence interval.

Yes, because 27 is above the lower limit of the confidence
interval.

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

Because we do not know the distribution of the parent population.

Because the parent population is assumed to be normally distributed.

Because the sample size is less than 100.

Because the sample size is greater than 10.

Answer #1

a) point estimate for the mean weight of all spawning Chinook salmon in the Columbia River =28.20

b)

95% CI =26.0 < *μ* < 30.4

c)

No, because 27 is above the lower limit of the confidence interval.

d)_

Because the parent population is assumed to be normally distributed.

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salmon in the Columbia river are normally distributed. You randomly
catch and weigh 18 such salmon. The mean weight from your sample is
22.2 pounds with a standard deviation of 4.6 pounds. We want to
construct a 99% confidence interval for the mean weight of all
spawning Chinook salmon in the Columbia River.
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spawning Chinook salmon in the Columbia river are normally
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mean weight of all spawning Chinook salmon in the Columbia
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river are normally distributed. You randomly catch and weigh 15
such salmon. The data is found in the table below. You want to
construct a 95% confidence interval for the mean weight of all
spawning Chinook salmon in the Columbia River. You will need
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