Exam 6: Sampling and Estimation

Use the table below to answer the following question(s). The historical data of Velvetta Inc., a healthcare products manufacturer, have shown that in a production process for filling bottles of shampoo, variance in the volume is constant; however, clogs in the filling machine often affect the average volume.The historical standard deviation is 5 milliliters.In filling 250-milliliter bottles, a sample of 20 found an average volume of 242 milliliters. Velvetta Inc. Shampoo Production Alpha Value 0.05 Standard Deviation 5 Sample Size 20 Sample Average 2.42 -From the table above, calculate the $\frac { Z _ { \alpha } } { 2 }$ value at a 95% confidence interval.

Which of the following types of distributions use z-values to establish confidence intervals?

Which of the following sampling methods bases its selection of samples on the ease of data collection?

Which of the following is true of the t-distribution?

A confidence interval is a range of values between which the value of the population parameter is believed to be.

As the number of degrees of freedom increases, the t-distribution converges to the standard normal distribution.

The table below shows the weights of female individuals in Catherine's family.Calculate the sample variance in the weights, and the standard deviation. Weights of female individuals in Catherine's family (in lbs) 163 160 155 161 158 155 149 151 158 17

Compare between the t-distribution and the standard normal distribution.

The table below shows the number of goals scored by the Huntington Soccer Club in their league for the past 12 years.Calculate the standard error of the mean of the data given that the variance of the data is 50.45

________ involves selecting items from a population so that every subset of a given size has an equal chance of being selected.

In sampling, ________ involves assessing the value of an unknown population parameter-such as a population mean, population proportion, or population variance-using sample data.

A ________ is one that provides a range for anticipating the value of a new observation from the same population.

In which of the following cases is a proportion of the observations of a sample used in estimating the confidence interval?

For the formula for calculating the confidence level with known standard deviation, the value ________ represents the value of a standard normal random variable with a cumulative probability of 1 - α / 2.

A confidence interval is associated with the sampling distribution of a statistic.

The Ransin Sports Company has noted that the size of individual customer orders is normally distributed with a mean of $112 and a standard deviation of $9.Which of the following is the answer for the probability that the next individual who buys a product will make a purchase of more than $116?

Which of the following is the equation for calculating the standard error of the mean?

The central limit theorem states that if the population is normally distributed, then the ________.

Use the table below to answer the following question(s). The historical data of Velvetta Inc., a healthcare products manufacturer, have shown that in a production process for filling bottles of shampoo, variance in the volume is constant; however, clogs in the filling machine often affect the average volume.The historical standard deviation is 5 milliliters.In filling 250-milliliter bottles, a sample of 20 found an average volume of 242 milliliters. Velvetta Inc. Shampoo Production Alpha Value 0.05 Standard Deviation 5 Sample Size 20 Sample Average 2.42 -From the table above, determine the cumulative probability for z at a 95% confidence level.