Question

A company that produces snack foods uses a machine to package 454 grams bags of potato...

  1. A company that produces snack foods uses a machine to package 454 grams bags of potato chips. A random sample of 75 bags of potato chips has a mean of 450 grams and standard deviation of 8.48 grams. Perform a hypothesis test at the 1% significance level to determine if the machine is working properly.

Homework Answers

Answer #1

Solution :

Givan that ;

= 454

= 450

= 8.48

n = 75

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :   = 454

Ha :    454

Test statistic = z

= ( - ) / / n

= ( 450 - 454 ) / 8.48 / 75

= -4.09

The test statistic = -4.09

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A local company makes snack-size bags of potato chips. The company produces batches of 400 snack-size...
A local company makes snack-size bags of potato chips. The company produces batches of 400 snack-size bags using a process designed to fill each bag with an average of 2 ounces of potato chips. However, due to imperfect technology, the actual amount placed in a given bag varies. Assume the population of filling weights is normally distributed with a standard deviation of 0.1 ounce. The company periodically weighs samples of 10 bags to ensure the proper filling process. The last...
Crispy-Snax is a popular brand of potato chip. The company sells a Halloween sized snack bag...
Crispy-Snax is a popular brand of potato chip. The company sells a Halloween sized snack bag of chips. These snack bags are intended to contain 24g of potato chips. The company want to verify that the packaging and labelling is correct and that the bags do not contain less than 24g. Company scientists take a sample of 12 bags and find the sample mean to be 23.1g. Assuming that the standard deviation of the bag filling is 0.5g, do a...
A manufacturer of potato chips would like to know whether its bag filling machine works correctly...
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is believed that the machine is underfilling or overfilling the bags. A 13 bag sample had a mean of 409 grams with a standard deviation of 13 Assume the population is normally distributed. A level of significance of 0.1 will be used. Specify the type of hypothesis test.
A manufacturer of potato chips would like to know whether its bag filling machine works correctly...
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 443 gram setting. It is believed that the machine is underfilling the bags. A 15 bag sample had a mean of 434 grams with a standard deviation of 17. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
A manufacturer of potato chips would like to know whether its bag filling machine works correctly...
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 445445 gram setting. It is believed that the machine is underfilling the bags. A 1313 bag sample had a mean of 444444 grams with a standard deviation of 1212. A level of significance of 0.010.01 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
A manufacturer of potato chips would like to know whether its bag filling machine works correctly...
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 424.0 gram setting. It is believed that the machine is underfilling the bags. A 39 bag sample had a mean of 419.0 grams. A level of significance of 0.05 will be used. Determine the decision rule. Assume the standard deviation is known to be 13.0. Enter the decision rule.
Packaged foods sold at supermarkets are not always the weight indicated on the package. Variability always...
Packaged foods sold at supermarkets are not always the weight indicated on the package. Variability always crops up in the manufacturing and packaging process. Suppose that the exact weight of a ​" 14​-ounce" bag of potato chips is a random variable that has an approximately normal distribution with mean μ equals = 14 ounces and standard deviation σ = 0.75 ounce. If 6000 ​" 14​-ounce" bags of potato chips are chosen at​ random, estimate the number of bags with the...
Packaged foods sold at supermarkets are not always the weight indicated on the package. Variability always...
Packaged foods sold at supermarkets are not always the weight indicated on the package. Variability always crops up in the manufacturing and packaging process. Suppose that the exact weight of a "10​-ounce" bag of potato chips is a random variable that has an approximately normal distribution with mean u=10 ounces and standard deviation σ=0.75 ounce. If 2000 ​"10​-ounce" bags of potato chips are chosen at​ random, estimate the number of bags with the following weights. ​(a) 8.58ounces or less ​(b)...
A manufacturer of potato chips would like to know whether its bag filling machine works correctly...
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 448 gram setting. It is believed that the machine is underfilling the bags. A 22 bag sample had a mean of 440 grams with a standard deviation of 14. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled?
A coffee company sells bags of coffee beans with an advertised weight of 454 grams. A...
A coffee company sells bags of coffee beans with an advertised weight of 454 grams. A random sample of 20 bags of coffee beans has an average weight of 457 grams. Weights of coffee beans per bag are known to follow a normal distribution with standard deviation 7 grams. (a) Construct a 95% confidence interval for the true mean weight of all bags of coffee beans. (Instead of typing ±, simply type +-.) (1 mark) (b) Provide an interpretation of...