In order to monitor the ecological health of the Florida Everglades, various measurements are recorded at different times. The bottom temperatures are recorded at the Garfield Bight station and the mean of 30.4 C is obtained for 61 temperatures recorded on 61 different days. Assume a population standard deviation of 1.7 C , test the claim that the population mean is greater than 30.0 C . Use a 0.10 significance level. Decide whether to reject or fail to reject the null hypothesis and state your conclusion. You would [Select] [Select ] population mean is greater than 30.0 C .

The grades on the second statistics test for Mrs. Sweeney's class are in the following list. Find the frequency distribution for the grades, \[ \text { D, F, B, D, A, F, F, B, F, F, B, C, C, C, B, F, C, A, B, B, F } \]

Determine whether the following statement is true or false. To construct a confidence interval about the mean, the population from which the sample is drawn must be approximately normal. This statement is

At a festival, one game involves guessing the number of candies in a plastic jar. The following data represents the guesses that people made during one hour at the festival. Complete the frequency table for this data. \[ 1382,1211,1354,1171,1058,1472,1132,1090,1132,1443,1163,1274,1112,1266,1254,1174 \]

Ork Explain why the \( t \)-distribution has less spread as the number of degrees of freedom increases. Choose the correct answer below. A. The \( t \)-distribution has less spread as the degrees of freedom increase because, as \( n \) increases, 2 of 8 posints information is known about \( \sigma, 9.2 .49 \) by the law of large numbers. B. The \( t \)-distribution has less spread as the degrees of freedom increase because, as \( n \) increases, s becomes closer to \( \sigma \) by the law of large numbers. C. The \( t \)-distribution has less spread as the degrees of freedom increase because, for large values of \( n \), \( n \geq 30 \), the \( t \)-distribution and the normal distribution are the sam D. The \( t \)-distribution has less spread as the degrees of freedom increase because the variability introduced into the \( t \)-statistic becomes greater as \( n \) increases.

Derk Determine the point estimate of the population proportion, the margin of error for the following confidence interval, and the number of individuals in the sample with the specified characteristic, \( x \), for the sample size provided. Lower bound \( =0.529 \), upper bound \( =0.831, n=1500 \) The point estimate of the population proportion is 0.68 . (Round to the nearest thousandth as needed.) The margin of error is (Round to the nearest thousandth as needed.)