The researcher aims to reject the null hypothesis (Ho) and accept the alternate (H1). In analogy, the court prosecutor's goal is to deliver a guilty verdict (reject Ho). Also, a sample is representative of the population when data is randomly collected. Therefore, the purpose of rejecting Ho is to make a statement about the population based on testing the sample. A. Scenario. An industrial seller of grass seeds packs product in 50 lb. bags, and 100 bags per batch. The production manager randomly samples each batch at a 95% confidence level and 10% margin of error. They measured the following weights in the Week 4 Discussion Data (below). To determine if the bags are filled properly, the manager used a one-sample t-test of means with a significance level α = 0.05. The population standard deviation (σ) is unknown; therefore, using a two-tail t-test will show whether the bags are under or overweight. Use the hypothesis testing steps illustrated in Example One-Sample t-Test of Means. Refer to Hypothesis Test for a Mean with Unknown σ Using t LO 9-7. A1. Use the Example 1 One-Sample t-Test of Means to learn and the Week 4 Discussion Data document to apply the five hypothesis steps. A2. Question: Is there a difference between the bag weight lbs. and the 50 lb. standard at a 95% confidence level? Explain B. A customer filed a complaint alleging several underweight bags. Is the customer justified? What would you do to satisfy the customer?
The researcher aims to reject the null hypothesis (Ho) and accept the alternate (H1). In analogy, the court prosecutor's goal is to deliver a guilty verdict (reject Ho). Also, a sample is representative of the population when data is randomly collected. Therefore, the purpose of rejecting Ho is to make a statement about the population based on testing the sample.
A. Scenario. An industrial seller of grass seeds packs product in 50 lb. bags, and 100 bags per batch. The production manager randomly samples each batch at a 95% confidence level and 10% margin of error. They measured the following weights in the Week 4 Discussion Data (below).
To determine if the bags are filled properly, the manager used a one-sample t-test of means with a significance level α = 0.05. The population standard deviation (σ) is unknown; therefore, using a two-tail t-test will show whether the bags are under or overweight. Use the hypothesis testing steps illustrated in Example One-Sample t-Test of Means. Refer to Hypothesis Test for a Mean with Unknown σ Using t LO 9-7.
A1. Use the Example 1 One-Sample t-Test of Means to learn and the Week 4 Discussion Data document to apply the five hypothesis steps.
A2. Question: Is there a difference between the bag weight lbs. and the 50 lb. standard at a 95% confidence level? Explain
B. A customer filed a complaint alleging several underweight bags. Is the customer justified? What would you do to satisfy the customer?
Step by step
Solved in 2 steps with 2 images
