We can find this probability in R using pnorm(110,mean=100,sd=20/sqrt(50)) (95,mean=100,sd=20/sqrt(50)) Exercises 5.3.1 The National Health and Nutrition Examination Survey of 1988-1994 (NHAN A-1) estimated the mean serum cholesterol level for U.S. females aged 20-74 y be 204 mg/dl. The estimate of the standard deviation was approximately 44. Usin estimates as the mean u and standard deviation o for the U.S. population, consic sampling distribution of the sample mean based on samples of size 50 drawn from v in this age group. What is the mean of the sampling distribution? The standard err 5.3.2 The study cited in Exercise 5.3.1 reported an estimated mean serum cholesterol le 183 for women aged 20-29 years. The estimated standard deviation was approxir 37. Use these estimates as the mean u and standard deviation o for the U.S. popu If a simple random sample of size 60 is drawn from this population, find the prob. that the sample mean serum cholesterol level will be: (a) Between 170 and 195 (c) Greater than 190 (b) Below 175 5.3.3 If the uric acid values in normal adult males are approximately normally distributed a mean and standard deviation of 5.7 and 1 mg percent, respectively, find the proba that a sample of size 9 will yield a mean: (a) Greater than 6 (c) Less than 5.2 (b) Between 5 and 6 5.3.4 Wright et al. [A-2] used the 1999-2000 National Health and Nutrition Examin Survey (NHANES) to estimate dietary intake of 10 key nutrients. One of those nutr was calcium (mg). They found in all adults 60 years or older a mean daily calcium it of 721 mg with a standard deviation of 454. Using these yaluo 5.4 Distribution of the Difference Between Two Sample Means deviation for the U.S. population, find the probability that a random sample of size 50 will have a mean: (b) Less than 700 mg (a) Greater than 800 mg (c) Between 700 and 850 mg 5.3.5 Given a normally distributed population with a mean of 100 and a standard deviation of 20, find the following probabilities based on a sample of size 16: (b) Pã<110) (a) P(> 100) (c) P(96 << 108)

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.