Alarge sleep study involving over 5000 american teenagers examined how many hours the participants slept on the weekend. the nightly sleep times were distinctly non-normal with a mean of 10 hours and a standard deviation of 2 hours. suppose we take a random sample of 100 nightly sleep times from this population. we can assume that the times in the sample are independent. what is the probability that the mean of these 100 (one hundreds hours)sleep times x¯x¯ is farther than 0.4 hours away from the population mean?

Nicolo paganini's numbers 1184 and 1210 are amicable. the proper divisors of 1184 are 1, 2, 4, 8, 16, 32, 37, 74, 148, 296, and 592. the proper divisors of 1210 are 1, 2, 5, 10, 11, 22, 55, 110, 121, 242, and 605. use the definition of amicable (friendly) numbers to show that they are indeed amicable. which of the folowing statement uses the definition of amicable numbers to show that 1184 and 1210 are indeed amicable? o a. o b. ° c. the sum of proper divisors of 1184 is 1210 and the sum of proper divisors of 1210 is 1184 the sum of proper divisors of 1184 is greater than 1210 and the sum of proper divisors of 1210 is greater than 1184 the sum of proper divisors of 1184 is less than 1210 and the sum of proper divisors of 1210 is less than 1184