A farmer sampled 46 sheep from a large herd to obtain a 90% confidence interval for the mean weight of wool (in pounds) from a sheep. The interval was (23.7, 33.6). If the farmer had used a 95% confidence interval instead, the confidence interval would have been: the same width as the original interval but with less risk of not including the parameter.

narrower with less risk of not including the parameter.

narrower with greater risk of not including the parameter.

wider with less risk of not including the parameter.

wider with greater risk of not including the parameter.

What are the relative frequencies to the nearest hundredth of the columns of the two-way table? a b group 1 102 34 group 2 18 14

An initial investment of $100 is now valued at $150. the annual interest rate is 5%, compounded continuously. the equation 100e0.05t = 150 represents the situation, where t is the number of years the money has been invested. about how long has the money been invested? use your calculator and round to the nearest whole number. years

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.