Run Simulation Draw Additional Samples Reset Samples Repeat this process 9 more times by selecting Draw Additional Samples. JMP will also plot the mean of the sample in a new histogram titled Distribution of Sample Means. Demo Characteristics Sample Size: 36 Number of Samples: 1 Animate Illustration? O Yes No Plot Normal Curve? Yes No JMP will draw one sample of size 35 from the population of spaghetti noodle lengths, produce a histogram of the sample and provide you with the mean and standard deviation of the sample. Under Run Simulation, select Draw Additional Samples. 29211 Name of Variable: Length (mm) In the Demo Characteristics section, enter the Sample Size of 35, and enter 1 for the Number of Samples. Note, the example screen shot may have different values for the mean and standard deviation Population Mear: 252466 Population Std Dev. JMP will fill in the Population Mean and Standard Deviation. Norma NODACI Hoed Population Characteristics Population Shapes My Data In the Population Characteristics section, change the Population Shape to My Data. To draw your first sample, open the file Spaghetti Noodles.jmp and select the column containing the spaghetti noodle lengths Next, go to Help > Sample Data > Teaching Scripts > Interactive Teaching Modules > Sampling Distribution of Sample Means (10 pts) HE Will the sampling distribution of the sample mean for a sample of size 35 in this case be approximately normally distributed? Explain why or why not b) We will now draw several random samples of 35 spaghetti noodles from the population of spaghetti noodles. These are the theoretical values for this sampling distribution. Use the population parameters for the length of the spaghetti noodles given above to make your calculations and please remember to give units. Calculate the mean and standard error for the sampling distribution of X, the sample mean, for a sample of size 35. Let the random variable X be the length of a spaghetti noodle. Normal No Spacing Heading 1 Her Simulation a) Suppose that you have a sample of size 35 from this population of spaghetti noodles. In this activity we will simulate a sampling distribution for a sample mean by drawing random samples of size 35 from this population of spaghetti noodles 230 236 242 248 254 260 266 Length in mm - Population Parameters Mean 252.46603 Std Dov 2.921123 N 12660 Median 253 a Focus Included here are the histogram and a few parameters for the population of spaghetti noodles. This information was used to create a population of the lengths of spaghetti noodles for Delectable Delights. Read directions carefully! tellem 1111111 0.15 Probability 0.10 0.05 Sampling Distribution with Spaghetti Noodles (100 pts) STAT 3090 students in prior semesters measured the lengths of raw spaghetti noodles. Paste your answers and any output into this document. Instructions for creating several types of graphs or tables and statistics can be found on Canvas in the file JMP_Instructions.pdf. Please provide any appropriate output and/or screenshots from JMP. DIRECTIONS: Answer the following questions using complete sentences as though you were presenting your analysis to the employees of Delectable Delights. The problem in this lab will be revisited in later labs. Since you took statistics as a part of your coursework, you are often called upon to perform data analysis for the advertising division, as well as other divisions of the company. You have landed your first job after graduation from Clemson in their advertising division. Delectable Delights is a large consumer food manufacturer selling its products in retail stores nationwide. Describe the changes that take place in the shape of the sampling distribution of the sample mean as the sample size increases.Simulate the sampling distribution of the sample mean,.Use JMP to draw a random sample of a given size,.Calculate the mean and standard error for a sampling distribution of a sample mean given population information and the sample size,. Upon successful completion of this activity, you will be able to. Normal No Spacing Heading 1 Heading 2 OBJECTIVES: The purpose of this activity is to use simulations in JMP to approximate the sampling distribution of the sample mean.
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