Question

In: Statistics and Probability

Question 6 A tube of toothpaste is required to be between 141.75 grams and 147.83 grams....

Question 6

A tube of toothpaste is required to be between 141.75 grams and 147.83 grams. We randomly sample 60 tubes of toothpaste from the first batch. From that sample taken, the average weight for the tube of toothpaste was 142.75 grams with a standard deviation of 1.57 grams.

By showing calculations:

Calculate and interpret the 95% and 99% confidence interval, given the above information.

Give a report and identify which range is larger?

Which interval, either 95th or 99th, falls within the specifications given?

Explain the relationship between standard deviation and the 95% and 99% confidence interval?

Solutions

Expert Solution

The solution to this problem is given by


Related Solutions

A test will be conducted to see how long a seven-ounce tube of toothpaste lasts. The...
A test will be conducted to see how long a seven-ounce tube of toothpaste lasts. The researcher wants to establish that the mean time is greater than 30.5 days. From a random sample of size 75, and investigator obtains y ̄ = 32.3 and s = 6.2 days. (a) (5 points) Formulate the null and alternative hypotheses. (b) (5 points) Determine the test statistic. (c) (5 points) Give the form of the rejection region. (d) (5 points) What is the...
Consider a 9 mm diameter circular tube, calculate the length of tube that is required to...
Consider a 9 mm diameter circular tube, calculate the length of tube that is required to transfer 100 W of water that circulates through the tube at a rate of 0.08 kg / s. The temperature of the water is kept constant at 50 ° C and the wall of the tube is maintained at 45 ° C.
Describe the difference between a PEG tube and an NG tube, and the steps for giving...
Describe the difference between a PEG tube and an NG tube, and the steps for giving a tube feeding via a PEG tube
Question 6 (11 marks) (Note this question is from the Week 11 Tutorial) Required: A. Identify...
Question 6 (Note this question is from the Week 11 Tutorial) Required: A. Identify the four (4) key terms in Insurance Law. B. Briefly explain what indemnity means in Insurance Law. C. Briefly explain what the ‘doctrine of subrogation’ means and discuss its effect on the parties to an insurance contract. (Word limit: Minimum of 200 words. Maximum of 300 words)
What is the difference between U-tube differential manometers and inverted U-tube differential manometers?
What is the difference between U-tube differential manometers and inverted U-tube differential manometers?
The “SolJah Grrlz”(Dianaand Gloria) wanted to estimate the difference between the percentages of users of toothpaste...
The “SolJah Grrlz”(Dianaand Gloria) wanted to estimate the difference between the percentages of users of toothpaste who will never switch to toothpaste. They took a sample of 500 users of “Decay Toothpaste” (100 of whomsaid that they would never switch) and 400 users of “Cavity Jamm Paste” (68 of whom said that they would not switch). a.Construct a 97% confidence interval for the difference between the proportions of all users of the two toothpastes who will never switch. (4pts) b.Test...
You are required to insert a naso gastric tube for a resident. What cautions and contraindications...
You are required to insert a naso gastric tube for a resident. What cautions and contraindications will you look for prior to using Xylocaine jelly as a lubricant during tube insertion
If the student uses 5.00 grams of (CH3)3CCO2H, how many grams of Mo(CO)6 will the student...
If the student uses 5.00 grams of (CH3)3CCO2H, how many grams of Mo(CO)6 will the student need to react completely with the (CH3)3CCO2H.
A thin-walled tube with a diameter of 6 mm and length of 20 m is used...
A thin-walled tube with a diameter of 6 mm and length of 20 m is used to carry exhaust gas from a smoke stack to the laboratory in a nearby building for analysis. The gas enters the tube at 200°C and with a mass flow rate of 0.001 kg/s. Autumn winds at a temperature of 15°C blow directly across the tube at a velocity of 7 m/s. Assume the thermophysical properties of the exhaust gas are those of air. (a)...
A thin-walled tube with a diameter of 6 mm and length of 20 m is used...
A thin-walled tube with a diameter of 6 mm and length of 20 m is used to carry exhaust gas from a smoke stack to the laboratory in a nearby building for analysis. The gas enters the tube at 200°C and with a mass flow rate of 0.005 kg/s. Autumn winds at a temperature of 15°C blow directly across the tube at a velocity of 5 m/s. Assume the thermophysical properties of the exhaust gas are those of air. (a)...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT