Find the area under the standard normal distribution to the left of a z-score of $1.21$.

Testing Goodness-of-Fit with a Normal Distribution Refer to Data Set 1 “Body Data” in Appendix B for the heights of females.

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b. Assuming a normal distribution with mean and standard deviation given by the sample mean and standard deviation, use the methods of Chapter 6 to find the probability of a randomly selected height belonging to each class.

Testing Goodness-of-Fit with a Normal Distribution Refer to Data Set 1 “Body Data” in Appendix B for the heights of females.

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c. Using the probabilities found in part (b), find the expected frequency for each category.

Basis for the Range Rule of Thumb and the Empirical Rule. In Exercises 45–48, find the indicated area under the curve of the standard normal distribution; then convert it to a percentage and fill in the blank. The results form the basis for the range rule of thumb and the empirical rule introduced in Section 3-2.

About __ % of the area is between z = -1 and z = 1 (or within 1 standard deviation of the mean).

Small Sample Weights of M&M plain candies are normally distributed. Twelve M&M plain candies are randomly selected and weighed, and then the mean of this sample is calculated. Is it correct to conclude that the resulting sample mean cannot be considered to be a value from a normally distributed population because the sample size of 12 is too small? Explain.

Find the area under the standard normal distribution to the right of a z-score of $-0.44$.

Find the area of the shaded region under the standard normal distribution.

Find the z-score such that $P$(Z < z)$=0.6331$.

Find the z-score corresponding to the probability/area shown under the standard normal curve below.