<span>A random sample is drawn from a population with mean μ = 66 and standard deviation σ = 5.5. use table 1.
a. is the sampling distribution of the sample mean with n = 16 and n = 36 normally distributed? yes, both the sample means will have a normal distribution. no, both the sample means will not have a normal distribution. no, only the sample mean with n = 16 will have a normal distribution. no, only the sample mean with n = 36 will have a normal distribution.
b. can you use the standard normal distribution to calculate the probability that the sample mean falls between 66 and 68 for both sample sizes? yes, for both the sample sizes, standard normal distribution could be used. no, for both the sample sizes, standard normal distribution could not be used. no, only for the sample size with n = 16, standard normal distribution could be used. no, only for the sample size with n = 36, standard normal distribution could be used.
c. calculate the probability that the sample mean falls between 66 and 68 for n = 36. (round intermediate calculations to 4 decimal places, "z" value to 2 decimal places, and final answer to 4 decimal places.)</span>
Given that a<span>n
artist uses 8 orange beads, 3 red beads, 4 green beads and 1 string for making a special tricolored bracelet.
Given that there are </span><span>15 orange beads, 86 red beads, 92 green beads, and 17 pieces of string</span>, the number of special tricolored bracelets that can be made is 1.
This is because, since 8 orange beads is needed for the special tricolored bracelets and there are only 15 orange beads the available, there will only be 7 orange beads left for the second tricolored bracelet.