Sampling Distributions Lab Activity 5 Solutions

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Lab Activity 5 Solutions 1 Lab Activity 5 Solutions Sampling Distributions Data Set: Grocery Shopping Number of Questions: 2 1. Sampling Distribution of Sample Mean Use the “Grocery_shopping” data set to complete question 1. This data set recorded the total grocery spending for 50 consumers at a local grocery store. a. Use software to find the descriptive statistics of the variable Spending . Copy and paste your output below and answer the following questions: If you need to review how to do this, see question 4 on lab activity 2! i. What is the sample size? n = 50 ii. What is the mean? = 25.84 iii. What is the standard deviation? s = 16.15 b. In many situations, such as this, we do not know the population standard deviation, so we use the sample standard deviation instead: ., also called the standard error. Calculate the standard error of the sample mean . Round your answer to two decimal places. = 2.28 We can see that this matches the value of “SE Mean” in the software output above. c. Now as sume that the true average spending is μ = $28 and standard deviation is σ = $10. Using this information, follow these steps to finding P($25 < < $28) when n = 50. i. What is the standard error of the sample mean? Round your answer to two decimal places .
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