Answer the following problems with random samples taken from the normal population. (The choices are attached) 1. The national average percentage score of Grade 6 in National Achievement Test (NAT) recently for Math subject is 36.66 with a standard deviation of 3.57. If a random sample of 200 scores were selected, what is the probability that the sample average percentage score is higher than 45%?
Answer the following problems with random samples taken from the normal population.
(The choices are attached)
1. The national average percentage score of Grade 6 in National Achievement Test (NAT) recently for Math subject is 36.66 with a standard deviation of 3.57. If a random sample of 200 scores were selected, what is the probability that the sample average percentage score is higher than 45%?
2. Kyle has a collection of more than 300 songs in his phone that has a mean duration of 2.75 minutes and a standard deviation of 0.6 minutes. Suppose that every week he makes a playlast by taking random sample of 36 of these songs, calculate the sample mean duration of the songs and the standard error of the sampling distribution of the sample means.
3. Suppose that students who finished JHS in a public school get an average of 5.6 hours of sleep each night with a standard deviation of 1.7 hours. What is the probability that a random selected group of 35 public school students get more than 6 hours of sleep, on the average each night?
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