Question

It is written on the products prepared for sale in a filling facility that 750 ml....

It is written on the products prepared for sale in a filling facility that 750 ml. 126 product taken randomly and determine their weights average of 742 ml and 13 ml of standard deviation. Can it be said that the products weights is more than 750 ml with 95% confidence?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #2

The null and alternative hypothesis is ,

(Claim)

The test is one-tailed test.

Since , the population standard deviation is unknown.

Therefore , use t-distribution.

Now , df=degrees of freedom=n-1=126-1=125

The critical value is , ; The Excel function is , =TINV(2*0.05,125)

The test statistic is ,

Decision : Here , the value of the test statistic lies in the rejection region.

Therefore , reject Ho.

Conclusion : There is not sufficient evidence to support the claim that the products weights is more than 750 ml.

answered by: anonymous
0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Create a sample “questionnaire” for your research. A publisher states that the books they print have...
Create a sample “questionnaire” for your research. A publisher states that the books they print have an average of 250 pages. The average number of pages of 33 books randomly selected is 242 and the standard deviation is 12. Can it be said with 95% confidence that the books are equal to 250 pages? It is written on the products prepared for sale in a filling facility that 750 ml. 126 product taken randomly and determine their weights average of...
A jar of peanuts is supposed to have 16 ounces of peanuts. The filling machine inevitably...
A jar of peanuts is supposed to have 16 ounces of peanuts. The filling machine inevitably experiences fluctuations in​ filling, so a​ quality-control manager randomly samples 12 jars of peanuts from the storage facility and measures their contents. She obtains the accompanying data. Complete parts​ (a) through​ (d) below. Jar values 15.93 15.73 16.19 15.36 15.82 15.84 15.56 16.15 15.79 15.42 16.28 16.51 ​(b) Determine the sample standard deviation. s=? ​(Round to three decimal places as​ needed.) ​(c) Construct a...
Company VV’s products range from $216 to $323 and their average total sale per customer is...
Company VV’s products range from $216 to $323 and their average total sale per customer is $1100. The total sale has a normal distribution with a standard deviation of $300. a- Calculate the probability that a randomly selected customer will have a total sale of more than $1358. b- Compute the probability that the total sale will be within ± 2 standard deviations of the mean total sales. c- Determine the median total sale.
he number of hours of reserve capacity of 10 randomly selected automotive batteries is shown to...
he number of hours of reserve capacity of 10 randomly selected automotive batteries is shown to the right. 1.71 1.88 1.57 1.67 1.78 1.99 1.37 1.54 1.44 2.04 Assume the sample is taken from a normally distributed population. Construct 95​% confidence intervals for​ (a) the population variance sigmasquared and​ (b) the population standard deviation sigma. ​ (a) The confidence interval for the population variance is ​( nothing​, nothing​). ​(Round to three decimal places as​ needed.) Interpret the results. Select the...
The bottling company uses a filling machine to fill cans with an energy drink. The cans...
The bottling company uses a filling machine to fill cans with an energy drink. The cans are supposed to contain 250 mL. The machine, however, has some variability, so the standard deviation of the volume is 0.4 mL. A sample of five cans is inspected each hour for process control purposes, and records are kept of the sample mean volume. If the process meaning is exactly equal to the target value, what is the mean and standard deviation of the...
The quality control department has collected data on defective products produced over a 24 hours time...
The quality control department has collected data on defective products produced over a 24 hours time span. Using a random sample of 1500 products, they discover that the average number of defects is 254, while the sample standard deviation is 20. The department wants to conduct a test of whether the average number of defective product is equal to 252 or not. Which of the following is true? a. The Null Hypothesis can be rejected with 95% confidence. b. The...
A local winery bottles thousands of bottles of wine per season. The winery has a machine...
A local winery bottles thousands of bottles of wine per season. The winery has a machine that automatically dispenses the amount of wine per bottle before aging. Each season the wine maker randomly samples 50 bottles of wine to ensure the amount of wine per bottle is 750 ml. If there is evidence that the amount is different than (less or more than) 750 ml then the winery will need to evaluate the machine and perhaps rebottle or consider selling...
In a group of 66 Mummers, the average income was $62,000 with a standard deviation of...
In a group of 66 Mummers, the average income was $62,000 with a standard deviation of $22,000. We are interested to determine if the average income of a Mummer is significantly different than $50,000. Find the critical value for α=0.01. What is the result of this hypothesis test? Why? Based on the results of (d) and (f), what can be said about the 95% and 99% confidence intervals? How do you know? Do not calculate the confidence intervals to justify...
Cans of Diet Coke are filled by machines that should be dispensing an average of 180...
Cans of Diet Coke are filled by machines that should be dispensing an average of 180 milliliters (ml) of liquid. Coca-cola headquarters suspects that one of its bottling plants is not setting its machines at 180 ml and is therefore not filling accurately. To investigate, a quality-control inspector takes an SRS of 40 cans that have been bottled at that plant and measures the volume of liquid in each can. The mean amount of liquid in the sample of cans...
Q1) Suppose a production line operates with a mean filling weight of 16 ounces per container....
Q1) Suppose a production line operates with a mean filling weight of 16 ounces per container. Since over- or under-filling can be dangerous, a quality control inspector samples of 24 items to determine whether the filling weight must be adjusted. The sample revealed a mean of 16.32 ounces with a sample standard deviation of 0.8 ounces. Using a 0.10 level of significance, can it be concluded that the process is out of control (not equal to 16 ounces)? Q2) A...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT