Fair Coin?In a series of100tosses of a token, the proportion of heads was found to be0.61. However, the margin of error for the estimate on the proportion of heads in all tosses was too big. Suppose you want an estimate that is in error by no more than0.03at the95%confidence level.

(a) What is the minimum number of tosses required to obtain this type of accuracy? Use the prior sample proportion in your calculation. You should toss the token at least ______times.

(b) What is the minimum number of tosses required to obtain this type of accuracy when you assume no prior knowledge of the sample proportion? You should toss the token at least_____ times.

Salmon Weights: Assume that the weights of spawning Chinook salmon in the Columbia river are normally distributed. You randomly catch and weigh 17 such salmon. The mean weight from your sample is 28.2 pounds with a standard deviation of 4.4 pounds. You want to construct a 99% 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 99% confidence interval for the mean weight of all spawning Chinook salmon in the Columbia River. Round your answers to 1 decimal place. _____ < < ____ (c) Are you 99% confident that the mean weight of all spawning Chinook salmon in the Columbia River is greater than 23 pounds and why? No, because 23 is above the lower limit of the confidence interval.

Yes, because 23 is below the lower limit of the confidence interval.

No, because 23 is below the lower limit of the confidence interval.

Yes, because 23 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 the sample size is less than 100.

Because the parent population is assumed to be normally distributed.

Because the sample size is greater than 10.

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