1. A certain kind of packaged food bears the following statement on the package: ??Average net weight 12 oz.?? A consumer group has been receiving complaints from users of the product who believe that they are getting smaller quantities than the manufacturer states on the package. A random sample of 144 packages of the food product is collected, and it is found that the average net weight in the sample is 11.6 oz. and the sample standard deviation is 6 oz. Is there evidence that the manufacturer is under filling the packages. Use = 0.01.
Added by Vanessa P.
Close
Step 1
Step 1: State the null and alternative hypotheses. Show moreā¦
Show all steps
Your feedback will help us improve your experience
Kari Hasz and 98 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The amount of sugar contained in 1-kg packets is actually normally distributed with a mean of Āµ = 1.03 kg and a standard deviation of Ļ = 0.014 kg. (a) What proportion of sugar packets are underweight? (b) If an alternative package-filling machine is used for which the weights of the packets are normally distributed with a mean of Āµ = 1.05 kg and a standard deviation of Ļ = 0.016 kg, does this result in an increase or a decrease in the proportion of underweight packets? (c) In each case, what is the expected value of the excess package weight above the advertised level of 1 kg?
Madhur L.
The manufacturer of cans of salmon that are supposed to have a net weight of 120 g tells you that the net weight is actually a random variable with a mean of 121 g and a standard deviation of 3.6 g. Suppose that you take a random sample of 36 cans. a. Find the probability that the sample mean will be less than 119.4 g. b. Find the probability that the sample mean will be more than 120.7 g. c. Find the probability that the sample mean will be within 0.5 g of the population mean.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD