Brase+Worksheet+7.4

docx

School

University Of Georgia *

*We aren’t endorsed by this school

Course

MISC

Subject

Statistics

Date

Jan 9, 2024

Type

docx

Pages

Uploaded by VICTORDELATORRE

Chapter 7: Normal Curves and Sampling Distributions Section 7.4: Sampling Distributions Name Jeremmy Capilla Date 11/11/2023 Objective:  From raw data, construct a relative frequency distribution for x values and compare the result to a theoretical distribution. This worksheet will walk you through the steps to construct a probability sampling distribution for x values. You will use sampling distributions for estimation and testing in Chapters 8-11. Instructions: Follow the steps in this worksheet to construct a sampling distribution of the mean weight of 7 watermelons for a “guessing game” at a county fair. . This worksheet will walk you through the steps to create a frequency table, a relative frequency table, and a relative frequency histogram, like the examples below from your Introductory Statistics textbook. Step 1: Collect and organize the data. This allows you to see the means of the samples so that you can make a frequency table and then graph the distribution. Example: Organize the data for Example 9 in your textbook, which is reproduced here:

Chapter 7: Normal Curves and Sampling Distributions Section 7.4: Sampling Distributions Here is the data in a table, with the sample statistic, the mean lengths of the trout in each sample, listed in the last column for each sample. A sample consists of 5 trout lengths.

Chapter 7: Normal Curves and Sampling Distributions Section 7.4: Sampling Distributions Instructions: At game at a county fair, participants are asked to guess the average weight of 7 watermelons displayed at the game booth by taking a random samples of size 2 from the population. The weights of the watermelons are in the table below. (Note: You will use this data for this entire worksheet.) Watermelon A B C D E Weight (pounds) 23.4 27.6 23.7 28. 5 24.9 Use the appropriate formula from Section 5.3 to verify that there are 21 possible samples of size 2. Number of Samples of Size 2 = Complete table with all possible samples of size 2. The first row has been filled out for you. Sample Watermelon Pair Weight 1 (pounds) Weight 2 (pounds) x = Sample Mean 1 A, B 23.4 27.6 25.5 2 A, C 3 A, D 4 A, E 5 A, F 6 A, G 7 B, C 8 B, D 9 B, E 10 B, F 11 B, G 12 C, D 13 14 15 16 17 18 19 20 21

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

Chapter 7: Normal Curves and Sampling Distributions Section 7.4: Sampling Distributions Step 2: Create a frequency table. Example: Create a frequency table for the data in Example 9 in your textbook, which is reproduced in Step 1. The formula Largest Data Value - Smallest Data Value Class Width Number of Classes  from Section 2.1 gives a class width of 0.4, which results in a tenth class that goes beyond the data. An adjustment to the class width and the Lower and Upper limits resulted in a class width of 0.38 and the following frequency table: There is one sample mean in the first class, there are 5 in the second class, etc.

Chapter 7: Normal Curves and Sampling Distributions Section 7.4: Sampling Distributions Instructions: Create a frequency table for the watermelon weight data from Step 1. Use 5-7 classes . You may adjust the number of classes and/or the class width, as needed. Class Class Boundaries (Lower-Upper) Tally Frequency f Relative Frequency

Chapter 7: Normal Curves and Sampling Distributions Section 7.4: Sampling Distributions Step 3: Graph the relative frequencies to show the This allows you to see the means of the samples so that you can make a frequency table and then graph the distribution. Example: Graph the relative frequencies of the data in Example 9 in your textbook. Use the data above for the boundaries and bar heights to create the frequency graph: This probability sampling distribution is for the sample mean x of trout lengths based on random samples of size 5. You can use it to get an idea of the average length of the trout in the pond.

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

Chapter 7: Normal Curves and Sampling Distributions Section 7.4: Sampling Distributions Instructions: Graph the relative frequencies to show the probability sampling distribution. Label your horizontal and vertical axes with the appropriate descriptions. Then answer the questions that follow. Sampling distributions are used for statistical inference—the estimation and testing that you will see in the next three chapters. For the watermelon weight game scenario: 1. What makes up the members of the sample? 2. What is the sampling distribution? 3. What is the sample statistic that corresponds to each sample? 4. To which population parameter does this sampling distribution correspond?