Find the probability that the total weight of a full rack, Basic Statistics

Assignment Help:

Question:

(a) Packs of food have weights that are distributed with standard deviation 2.3 g. A random sample of 200 packets is taken. The mean weight of this sample is found to be 99.2 g. Calculate a 99% confidence interval for the population mean weight.

(b) Insects stick to a wall at random points. The mean number of insects is 2 per square metre. A wall with area 25 m2 is painted with a new type of paint which the manufacturer claims is insect repellent. It is found that 29 insects stick to this wall.

Use a suitable approximation to test the manufacturer's claim at the 1% significance level. Take the null hypothesis to be µ = 50, where µ is the population mean.

(c) Bottles of liquor are stacked in racks of 12. The weights of these bottles are normally distributed with mean 1.2 Kg and standard deviation 0.055 Kg. The weights of empty racks are normally distributed with mean 2 Kg and standard deviation 0.295 Kg.

(i) Show that the total weight of a full rack of 12 bottles of liquor follow a normal distribution with mean 16.4 Kg and variance 0.123.

(ii) Find the probability that the total weight of a full rack of 12 bottles of liquor is between 16.5 Kg and 17 Kg.

(iii) Two bottles of liquor are chosen at random. Find the probability that they differ in weight by less than 0.04 Kg.


Related Discussions:- Find the probability that the total weight of a full rack

Midterm & final exams , Can you all help with midterms and final exams? mea...

Can you all help with midterms and final exams? meaning getting the assignment done within a couple hours?

Binomial probability distribution, if the probability of getting caught cop...

if the probability of getting caught copying someone else s exam is 0.2 find the probability of not getting caught in 3 attempts assume independence

What is AXlOM in accounting?, AXIOM, usually, it is a saying that is common...

AXIOM, usually, it is a saying that is commonly recognized on its own merits; in sense, it is an idea that is not vulnerable of confirmation or disproof; its reality is believed to

Working capital, prepare an estimate of working capital requirements from t...

prepare an estimate of working capital requirements from the following information 1. project annual sales 1,00000/- 2. selling price Rs. 8/unit 3.percentage of net profit on sale

Statistics is the backbone of decision-making, 1. (a) 'Statistics is the ba...

1. (a) 'Statistics is the backbone of decision-making'. Describe.     (b) 'Statistics is as good as the user'. Describe. 2.  Differentiate between the following with example.

Using a venn diagram evaluate the probability, Question: (a) 100 indiv...

Question: (a) 100 individuals applied for systems analyst positions with a large firm during the past year. 40 of them had some prior work experience (W), and 30 had a profes

Hypothesis, What is a hypothesis test? Why do we need to use them to make ...

What is a hypothesis test? Why do we need to use them to make decisions about relating sample results to the population; why can’t we just make our decisions by the sample value?

Calorimetry, How do I calculate the temperature change of a sample?

How do I calculate the temperature change of a sample?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd