Question

In: Statistics and Probability

The analyst took four batches of water bottles at different times of the day and recorded...

The analyst took four batches of water bottles at different times of the day and recorded the average amount filled.

Use the data set below to create the control chart indicated to check if the water filling process is in control.

Create the control charts and answer the questions in Excel and upload the file.

1. Create the xbar control chart for this data set. Assume that σ = 0.75.

Discuss why or why not the water filling process is in control.

2. Create the R control chart using this data set.

Discuss why or why not the water filling process is consistent. This is the same data set as in question 8, number 1.

Water bottle filling process

sample	batch 1	batch 2	batch 3	batch 4
1	20.4	19.8	19.3	21.0
2	20.0	19.2	21.2	19.5
3	20.1	21.1	19.8	20.9
4	19.9	21.0	20.0	20.5
5	19.0	21.1	20.6	21.8
6	20.0	20.3	20.1	19.0

Expert Solution

Here D3 =0 and D4 = 2.004

So now we calculater Xbar and R values for each sample.

Now we calculate the control limits for Xbar chart

The Xbar chart can be drawn as-

Comment : As all the points lie within the control limits, we can conclude that the water filling process is in control.

Now we calculate control limits for R chart

The R chart can be drawn as-

Comment: The lower control limit of R chart is 0.

So as all the points lie within the control limits, we can conclude that the water fillibg process is in control.

orchestra answered 1 year ago

The times taken to produce each of the first four batches of a new product were...

The times taken to produce each of the first four batches of a new product were as follows: Batch number Time taken 1 200 minutes 2 152 minutes 3 138 minutes 4 130 minutes What is the rate of learning closest to?

Every day you flip a fair coin four times and if it is heads all four...

Every day you flip a fair coin four times and if it is heads all four times, you give a dollar to charity. In a year with 365 days, what is your expected annual donation to charity and what is the variance?

MICROBIOLOGY 1. The student also took samples at different times during the growth to do dilution...

MICROBIOLOGY 1. The student also took samples at different times during the growth to do dilution plating and get viable plate counts. Here are the results for the samples taken at hours 3 and 6: 3 hours 6 hours 10-3 dilution = too many to count 10-5 dilution = too many to count 10-4 dilution = 476 CFUs 10-6 dilution = 155 CFUs 10-5 dilution = 49 CFUs 10-7 dilution = 17 CFUs 10-6 dilution = 5 CFUs 10-8 dilution...

Ten different families are tested for the number of gallons of water a day they use...

Ten different families are tested for the number of gallons of water a day they use before and after viewing a conservation video. At the 0.05 significance level, test the claim that the mean is the same before and after the viewing. List the null and alternative hypothesis, the critical value, the test statistic with and sd. Draw the graph and label the test statistic, critical value and rejection regions. Reject or fail to reject? State the conclusion Before 33...

Big Steel Company recorded an efficiency rating at each of its four manufacturing locations every day...

Big Steel Company recorded an efficiency rating at each of its four manufacturing locations every day for a fourteen-day period (provided below). As a member of their evaluation team you are asked if the average efficiency is the same across all locations. Determine your hypotheses, run the appropriate test, and provide the appropriate conclusion to the director of your team. Location 1 Location 2 Location 3 Location 4 87 81 83 69 75 89 78 99 89 62 73 62...

Twelve different video games showing violence were observed. The duration times of violence were recorded, with...

Twelve different video games showing violence were observed. The duration times of violence were recorded, with the times (seconds) listed below. Assume that these sample data are used with a 0.05 significance level in a test of the claim that the population mean is greater than 75 sec. If we want to construct a confidence interval to be used for testing that claim, what confidence level should be used for a confidence interval? If the confidence interval is found to...

1) A patient takes Aldomet, 500 mg tablets, three to four times a day. He is...

1) A patient takes Aldomet, 500 mg tablets, three to four times a day. He is advised not to exceed a daily dose of 3 grams or ________ tablets. 2) Robicillin VK 2 grams daily is prescribed. Robicillin VK 250 mg tablets are on hand. How many tablets should be given daily? _________________ 3) 12) You are infusing D5W at 125mL/hr. You just hung a new 1-liter bag and the patient asks how long it will take to complete the...

Eight different families are tested for the number gallons of water a day they use before...

Eight different families are tested for the number gallons of water a day they use before and after viewing a conservation video. Information is given below. Do you believe that the conservation video is helpful to save daily water usage? Explain your answer using both confidence interval method and hypothesis test method. before 34 33 38 33 40 31 33 35 after 33 28 25 35 31 28 35 28

Students took four different lengths of tests. The tests consisted of either 10, 15, 20, or...

Students took four different lengths of tests. The tests consisted of either 10, 15, 20, or 25 four-choice multiple-choice items. The teacher would like to give as many items as possible without taking up too much of the class period. A longer test will take more class time. Which test should the teacher pick, to have the most items on the test during the available class time? Number of test items 10 15 20 25 13 17 ...

Four different paints are advertised to have the same drying times. To verify the manufacturer’s claim,...

Four different paints are advertised to have the same drying times. To verify the manufacturer’s claim, seven samples were tested for each of the paints. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. Below are the results which may be imported into MSExcel for analysis: (Assume the populations are normally distributed, the populations are independent and the population variances are equal) Paint 1 Paint 2 Paint 3 Paint 4...