Exam 6: Sampling and Estimation
Use the table below to answer the following questions).
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 mean volume. The historical standard deviation is 5 milliliters. In filling 250-milliliter bottles, a sample of 20 found a mean volume of 242 milliliters. Velvetta Inc. Shampon Productim Alpha Vulue 0.05 Standard Deviation 5 Sample Size 20 Sample Mean 242
-From the table above, determine the cumulative probability for z at a 95% confidence level.
A
The central limit theorem states that if the population is normally distributed, then the .
D
Give an account of biased and unbiased estimators in sampling methods.
Statisticians develop many types of estimators, and from a theoretical as well as a practical perspective, it is important that they "truly estimate" the population parameters they are supposed to estimate. Suppose that we perform an experiment in which we repeatedly sampled from a population and computed a point estimate for a population parameter. Each individual point estimate will vary from the population parameter; however, we would hope that the long- term average expected value) of all possible point estimates would equal the population parameter. If the expected value of an estimator equals the population parameter it is intended to estimate, the estimator is said to be unbiased. If this is not True, the estimator is called biased and will not provide correct results.
sampling applies to populations that are divided into natural subsets and allocates the appropriate proportion of samples to each subset.
Estimators are the measures used to estimate population parameters.
Which of the following is the inherent reason why sampling errors occur?
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?
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. If a soccer team of 11 players were to make the next batch of orders, what is the probability that the mean purchase would exceed $116?
Which of the following is a difference between the t-distribution and the standard normal distribution?
Compare between the t-distribution and the standard normal distribution.
Use the table below to answer the following questions).
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 mean volume. The historical standard deviation is 5 milliliters. In filling 250-milliliter bottles, a sample of 20 found a mean volume of 242 milliliters. Velvetta Inc. Shampon Productim Alpha Vulue 0.05 Standard Deviation 5 Sample Size 20 Sample Mean 242
-Calculate the ???/2 value at a 95% confidence interval.
is based on dividing a population into subgroups, sampling a set of subgroups, and conducting a complete census within the subgroups sampled.
are statistical errors that are due to the sample not representing the target population adequately.
In sampling, involves assessing the value of an unknown population parameter- such as a population mean, population proportion, or population variance-using sample data.
Explain selecting a sample using the continuous process sampling methods.
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 d female individuals in Catherine's family in lbs) 163 160 155 161 158 155 149 151 158 171
Which of the following is true of an unbiased estimator value?
Use the table below to answer the following questions).
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 mean volume. The historical standard deviation is 5 milliliters. In filling 250-milliliter bottles, a sample of 20 found a mean volume of 242 milliliters. Velvetta Inc. Shampon Productim Alpha Vulue 0.05 Standard Deviation 5 Sample Size 20 Sample Mean 242
-Based on the data in the table above, calculate the margin of error at 95% confidence interval.
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