Confidence Interval (Women's Heights) Quiz

PDF page 460: • The student will calculate a 90 percent confidence interval using the given data.

PDF page 460: Table 8.8 Heights of 100 Women (in Inches)

PDF page 461: known to be 3.3 in. With these values, construct a 90 percent confidence interval for your sample of 10 values. Write the confidence interval you obtained in the first space of Table 8.9.

PDF page 461: known to be 3.3 in. With these values, construct a 90 percent confidence interval for your sample of 10 values. Write the confidence interval you obtained in the first space of Table 8.9.

PDF page 461: intervals, count how many of them contain the population mean μ; i.e., for how many intervals does the value of μ lie between the endpoints of the confidence interval?

PDF page 463: confidence level (CL) the percentage expression for the probability that the confidence interval contains the true population parameter; for example, if the CL = 90 percent, then in 90 out of 100 samples, the interval estimate will enclose the true population parameter degrees of freedom (df) the number of objects in a sample that are free to vary error bound for a population mean (EBM) the margin of error; depends on the confidence level, sample size, and known or estimated population standard deviation error bound for a population proportion (EBP) the margin of error; depends on the confidence level, the sample size, and the estimated (from the sample) proportion of successes inferential statistics also called statistical inference or inductive statistics; this facet of statistics deals with estimating a population parameter based on a sample statistic For example, if four out of the 100 calculators sampled are defective, we might infer that 4 percent of the production is defective. normal distribution a bell-shaped continuous random variable X, with center at the mean value (μ) and distance from the center to the inflection points of the bell curve given by the standard deviation (σ). We write . If the mean value is 0 and the standard deviation is 1, the random variable is called the standard normal distribution, and it is denoted with the letter Z parameter a numerical characteristic of a population plus-four confidence interval plus-four confidence interval when you add two imaginary successes and two imaginary failures (four overall) to your sample point estimate a single number computed from a sample and used to estimate a population parameter standard deviation a number that is equal to the square root of the variance and measures how far data values are from their mean; notation: s for sample standard deviation and σ for population standard deviation Student's t-distribution investigated and reported by William S. Gossett in 1908 and published under the pseudonym Student the major characteristics of the random variable (RV) are as follows:

PDF page 463: confidence level (CL) the percentage expression for the probability that the confidence interval contains the true population parameter; for example, if the CL = 90 percent, then in 90 out of 100 samples, the interval estimate will enclose the true population parameter degrees of freedom (df) the number of objects in a sample that are free to vary error bound for a population mean (EBM) the margin of error; depends on the confidence level, sample size, and known or estimated population standard deviation error bound for a population proportion (EBP) the margin of error; depends on the confidence level, the sample size, and the estimated (from the sample) proportion of successes inferential statistics also called statistical inference or inductive statistics; this facet of statistics deals with estimating a population parameter based on a sample statistic For example, if four out of the 100 calculators sampled are defective, we might infer that 4 percent of the production is defective. normal distribution a bell-shaped continuous random variable X, with center at the mean value (μ) and distance from the center to the inflection points of the bell curve given by the standard deviation (σ). We write . If the mean value is 0 and the standard deviation is 1, the random variable is called the standard normal distribution, and it is denoted with the letter Z parameter a numerical characteristic of a population plus-four confidence interval plus-four confidence interval when you add two imaginary successes and two imaginary failures (four overall) to your sample point estimate a single number computed from a sample and used to estimate a population parameter standard deviation a number that is equal to the square root of the variance and measures how far data values are from their mean; notation: s for sample standard deviation and σ for population standard deviation Student's t-distribution investigated and reported by William S. Gossett in 1908 and published under the pseudonym Student the major characteristics of the random variable (RV) are as follows:

PDF page 462: (the heights of women) and count how many of the data values lie within the confidence interval that you generated based on that data. How many of the 100 data values lie within your confidence interval? What percentage is this? Is this percentage close to 90 percent?

PDF page 463: confidence level (CL) the percentage expression for the probability that the confidence interval contains the true population parameter; for example, if the CL = 90 percent, then in 90 out of 100 samples, the interval estimate will enclose the true population parameter degrees of freedom (df) the number of objects in a sample that are free to vary error bound for a population mean (EBM) the margin of error; depends on the confidence level, sample size, and known or estimated population standard deviation error bound for a population proportion (EBP) the margin of error; depends on the confidence level, the sample size, and the estimated (from the sample) proportion of successes inferential statistics also called statistical inference or inductive statistics; this facet of statistics deals with estimating a population parameter based on a sample statistic For example, if four out of the 100 calculators sampled are defective, we might infer that 4 percent of the production is defective. normal distribution a bell-shaped continuous random variable X, with center at the mean value (μ) and distance from the center to the inflection points of the bell curve given by the standard deviation (σ). We write . If the mean value is 0 and the standard deviation is 1, the random variable is called the standard normal distribution, and it is denoted with the letter Z parameter a numerical characteristic of a population plus-four confidence interval plus-four confidence interval when you add two imaginary successes and two imaginary failures (four overall) to your sample point estimate a single number computed from a sample and used to estimate a population parameter standard deviation a number that is equal to the square root of the variance and measures how far data values are from their mean; notation: s for sample standard deviation and σ for population standard deviation Student's t-distribution investigated and reported by William S. Gossett in 1908 and published under the pseudonym Student the major characteristics of the random variable (RV) are as follows:

PDF page 463: confidence level (CL) the percentage expression for the probability that the confidence interval contains the true population parameter; for example, if the CL = 90 percent, then in 90 out of 100 samples, the interval estimate will enclose the true population parameter degrees of freedom (df) the number of objects in a sample that are free to vary error bound for a population mean (EBM) the margin of error; depends on the confidence level, sample size, and known or estimated population standard deviation error bound for a population proportion (EBP) the margin of error; depends on the confidence level, the sample size, and the estimated (from the sample) proportion of successes inferential statistics also called statistical inference or inductive statistics; this facet of statistics deals with estimating a population parameter based on a sample statistic For example, if four out of the 100 calculators sampled are defective, we might infer that 4 percent of the production is defective. normal distribution a bell-shaped continuous random variable X, with center at the mean value (μ) and distance from the center to the inflection points of the bell curve given by the standard deviation (σ). We write . If the mean value is 0 and the standard deviation is 1, the random variable is called the standard normal distribution, and it is denoted with the letter Z parameter a numerical characteristic of a population plus-four confidence interval plus-four confidence interval when you add two imaginary successes and two imaginary failures (four overall) to your sample point estimate a single number computed from a sample and used to estimate a population parameter standard deviation a number that is equal to the square root of the variance and measures how far data values are from their mean; notation: s for sample standard deviation and σ for population standard deviation Student's t-distribution investigated and reported by William S. Gossett in 1908 and published under the pseudonym Student the major characteristics of the random variable (RV) are as follows:

PDF page 463: • the desired confidence level,

PDF page 463: • information that is known about the distribution (for example, known standard deviation), and

PDF page 463: • the sample and its size.

PDF page 460: • The student will calculate a 90 percent confidence interval using the given data.