IdentifyingParameters and StatisticsParameters are numbers thatsummarize data for an entire population. Statistics are numbers that summarizedata from a sample, i.e. Some subset of the entire population.Problems (1) through (6)below each present a statistical study. For each study, identify both theparameter and the statistic in the study.1) A researcher wants toestimate the average height of women aged 20 years or older. From a simplerandom sample of 45 women, the researcher obtains a sample mean height of 63.9inches.2)A nutritionist wants to estimate the mean amount of sodium consumed by childrenunder the age of 10.
A randomly selected sample of 1,000 college students was asked whether they had. For a random sample of 9 women, the average resting pulse rate is x = 76. Simple Random Sampling. The first type of sampling, called simple random sampling, is the simplest. Here's the textbook definition: A sample of size n from a population of size N is obtained through simple random sampling if every possible sample of size n has an equally likely chance of occurring. OK, so maybe that didn't sound simple.
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From a random sample of 75 children under the age of 10,the nutritionist obtains a sample mean of 2993 milligrams of sodium consumed.3)Nexium is a drug that can be used to reduce the acid produced by the body andheal damage to the esophagus. A researcher wants to estimate the proportion ofpatients taking Nexium that are healed within 8 weeks. A random sample of 224patients suffering from acid reflux disease is obtained, and 213 of thosepatients were healed after 8 weeks.4)A researcher wants to estimate the average farm size in Kansas. From a simple random sample of 40farms, the researcher obtains a sample mean farm size of 731 acres.5)An energy official wants to estimate the average oil output per well in the United States.From a random sample of 50 wells throughout the United States, the official obtainsa sample mean of 10.7 barrels per day.6)An education official wants to estimate the proportion of adults aged 18 orolder who had read at least one book during the previous year.
A random sampleof 1006 adults aged 18 or older is obtained, and 835 of those adults had readat least one book during the previous year.7)The International Dairy Foods Association (IDFA) wants to estimate the averageamount of calcium male teenagers consume. From a random sample of 50 maleteenagers, the IDFA obtained a sample mean of 1081 milligrams of calciumconsumed.8)A sociologist wants to the proportion of adults with children under the age of18 that eat dinner together 7 nights a week. A simple random sample of 1122adults with children under the age of 18 was obtained, and 337 of those adultsreported eating dinner together with their families 7 nights a week.9)A school administrator wants to estimate the mean score on the verbal portionof the SAT for students whose first language is not English. From a simplerandom sample of 20 students whose first language is not English, theadministrator obtains a sample mean SAT verbal score of 458.
These research objectives were adapted from problemsin Michael Sullivan, Fundamentals ofStatistics, 2 nd edition, Pearson Education 2008.