Purchase Solution

Hypothesis Testing: One Sample Inference

Not what you're looking for?

Ask Custom Question

Diabetes

Plasma-Glucose levels are used to determine the presence of diabetes. Suppose the mean in (plasma-glucose) concentration (mg/dL) in 35 to 44-year-olds is 4.86 with standard deviation = 0.54. A study of 100 sedentary people in this group is planned to test whether they have a higher or lower level of plasma glucose than the general population.

7.7 If the expected difference is 0.10 in units, then what is the power of such a study if a two-sided test is to be used with ?= .05?
7.8 Answer problem 7.7 if the expected difference is 0.20 in units.
7.9 How many people would need to be studied to have 80% power under the assumptions in Problem 7.7?

Purchase this Solution
Solution Summary

The expert examines one sample inference for hypothesis testing.

Solution Preview

Please see the attached file.

Plasma-Glucose levels are used to determine the presence of diabetes. Suppose the mean in (plasma-glucose) concentration (mg/dL) in 35 to 44-year-olds is 4.86 with standard deviation = 0.54. A study of 100 sedentary people in this group is planned to test whether they have a higher or lower ...

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
Purchase this Solution
Free BrainMass Quizzes
Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

View More Free Quizzes
Related BrainMass Solutions

  • Populations and samples used in research

    What do you do when testing two populations, if one sample's size is small and the other sample's size is large? 1. Why would you use a small sample to draw inference about a large population?

  • Statistical inference to business decision scenarios

    Now, this difference in price is what we're interested in testing against. We can assume that the mean difference in prices is normally distributed. Given a sample size n<30, we can use a one-tailed paired t-test for testing the hypothesis.

  • Applications of inference and hyothesis testing

    Document on real-worl examples and applications of statistical inference and hypothesis testing.

  • Hypothesis testing problems

    239818 Statistical Inference 1) Find the expected values of the following probabilities...... 2) In a population of test scores not known to be probability distributions.... 5) Using the sample limit theorem...... 8) The null hypothesis that

  • parametric and nonparametric hypothesis test

    A formal hypothesis testing approach can be used for non parametric tests only if the sample size is large ( bigger than 30). This is due the central limit theorem: If the sample size is big, then the distribution is approximately normal.

  • Inference

    4334 Inference Various types of retail outlets sell toys during the holiday season. Among them are specialty toy stores, the large discount toy stores, and other retailers that carry toys as only one part of their stock of goods.

  • Hypothesis Testing, Statistical Inference, and Regression Analysis

    Hypothesis testing, statistical inference and regression analysis are examined.

  • Statistics - Hypothesis testing process & Experimentation

    Statistics is nothing but taking a representative sample of the population, testing hypothesis on the sample and then inferring that the insights generated through the sample is true for the population.

  • Statistics: Sex, Weight, GPA, Smoker and Arm and Leg Length

    One is going to draw the inference by using a random sample with replacement of size 25 from each group. Report the p-value of the test. Perform the test using a significance level a = .05.

View More Related Solutions