Question

A public health organization reports that 26% of baby boys 6 - 8 months old in the United States weigh more than 20 pounds. A sample of 19 babies is studied. Part 1 of 2 (a) What is the mean number who weigh more than 20 pounds in a sample of 19 babies aged 6 - 8 months? Round the answer to two decimal places. The mean number who weigh more than 20 pounds is Part 2 of 2 (b) What is the standard deviation of the number who weigh more than 20 pounds in a sample of 19 babies aged 6-8 months? Round the answer to four decimal places. The standard deviation of the number who weigh more than 20 pounds is .

Answer 1

To find the mean number of babies who weigh more than 20 pounds in a sample of 19 babies aged 6-8 months, multiply the percentage by the total number of babies. To calculate the standard deviation, use the formula for the standard deviation of a binomial distribution.

Step-by-step explanation:

To find the mean number of babies who weigh more than 20 pounds in a sample of 19 babies aged 6-8 months, you need to multiply the percentage of baby boys who weigh more than 20 pounds (26%) by the total number of babies in the sample (19). This gives you the expected number of babies who weigh more than 20 pounds. To calculate the standard deviation, you need to use the formula for the standard deviation of a binomial distribution, which is sqrt(n*p*q), where n is the sample size, p is the percentage, and q is the complement of p. Plug in the values and calculate to get the standard deviation.