# New York University STAT-UB STAT-UB 06 1.Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean =289days and standard deviation

New York University STAT-UB STAT-UB 06 1.Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean =289days and standard deviation

Some students paid a private tutor to help them improve their results on a certain mathematical test. These students had a mean change in score of +18 ​points, with a standard deviation of 62
points. In a random sample of 100 students who pay a private tutor to help them improve their​ results, what is the likelihood that the change in the sample mean score is less than 10​ points?
4.Suppose a simple random sample of size n=49 is obtained from a population with μ=71 and
σ=28. (b) What is P x&gt;75.6​? ​(c) What is P x≤61.6​? ​(d) What is P 65.4&lt;x&lt;78.6​?

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