You work for a breakfast cereal manufacturer. Your job is to decide if the new machinery...

You work for a breakfast cereal manufacturer. Your job is to decide if the new machinery is overfilling the cereal boxes. You take a sample of 37 randomly selected boxes and find that the mean weight for the sample is 1.6 lbs with sample standard deviation 0.3 lbs. The boxes are supposed to weigh 1.5 lbs. Conduct a hypothesis test at the α = 0.01 significance level. Be sure to state your conclusion in context.

Solutions

Expert Solution

Here in this scenario our job is to decide if the new machinery is overfitting the cerel boxes. Here note that the population standard deviation is unknown and here to test our claim statistically at 5% level of significance we have to use one t test as below,

Claim : The New machinary is overfitting the cerel boxes.

Here the conclusion is that there is enough evidence to Reject null hypothesis. That means our claim is right the new machinery is overfitting the cerel boxes.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Suppose you work for Kellogg's breakfast cereal division. Your job to estimate demand for Kellogg's breakfast...

Suppose you work for Kellogg's breakfast cereal division. Your job to estimate demand for Kellogg's breakfast cereals. Explain how you can use the different elasticities to the impact the price of the cereal, prices of subsitutes and complements, and consumer income will have on the demand for Kellogg's cereals. Don't forget to include your assumptions.

A manufacturer of breakfast cereal is to release a new cereal called Smores. Before Smores is...

A manufacturer of breakfast cereal is to release a new cereal called Smores. Before Smores is to be distributed in grocery stores across the country, the manufacturer conducts a study to determine if (i) the height of the shelf in which the cereal is to be displayed and (ii) the type of display will effect sales of the cereal. A statistician was hired to design an experiment to investigate if - and if so, how - does the (i) shelf-height...

what new ideas can be for breakfast cereal?

A manufacturer of breakfast cereal makes two claims concerning the weight of the packets they produce....

A manufacturer of breakfast cereal makes two claims concerning the weight of the packets they produce. The manufacturer claims that a) The mean is 200g b) The variance is 0.8g2. Answer the following questions. 1. To investigate the claims, the weight of a sample of packets produced in a given shift was measured. The values found are listed in part (a) of ‘Dataset’, with grams (g) as the unit of measurement. Carry out appropriate statistical tests on claims (a) and...

You must decide wither to buy new machinery to produce X or to modify existing machinery....

You must decide wither to buy new machinery to produce X or to modify existing machinery. If you have no idea of the economic probabilities of the two different states of nature: (1) Economic outlook is good, and (2) Economic outlook is bad. Use a probability of the economy being bad of 20%. Payoff Table Economic Outlook ($1,000) Good Bad Buy a new machine $750 −$175 Modify an old machine $500 $200 *In the payoff table, a negative number (−)...

In your new job as a retail store manager you decide to add mobile marketing to...

In your new job as a retail store manager you decide to add mobile marketing to your promotional campaign. Describe how a Bluetooth Low Energy (BLE) beacon could increase sales in your store.

You are the marketing director for a children’s breakfast cereal and you have traditionally advertised heavily...

You are the marketing director for a children’s breakfast cereal and you have traditionally advertised heavily on late-afternoon animated TV shows (after-school cartoons.) This strategy was based on a study from the 1970s showing that children in your target demographic watch an average of 76 minutes of late-afternoon animated TV shows each day. You suspect, however, that since the study was done so long ago that it may not reflect the TV viewing habits of today’s youth this may no...

As winner of a breakfast cereal competition, you can choose one of the following prizes: a....

As winner of a breakfast cereal competition, you can choose one of the following prizes: a. $180,000 at the end of five years. b. $11,400 a year forever. c. $19,000 for each of 10 years. d. $6,500 next year and increasing thereafter by 5% a year forever. Assume that the discount rate is 12%. i. (20 pts) Write down the discounted cash flow equation for each option.

A cereal manufacturer has two new brands of cereal which it would like to produce. Because...

A cereal manufacturer has two new brands of cereal which it would like to produce. Because resources are limited, the cereal manufacturer can only afford to produce one of the new brands. A marketing study produced the following probability distributions for the amount of sales for each of the new brands of cereal. Table A - Cereal A Sales P(Sales) -$150,000 0.2 $200,000 0.3 $300,000 0.3 $400,000 0.2 Table B - Cereal B Sales P(Sales) -$10,000 0.40 $300,000 0.40 $600,000...

Do you regularly consume fortified or enriched foods, such as breakfast cereal? Do you believe these foods benefit your health?

Do you regularly consume fortified or enriched foods, such as breakfast cereal? Do you believe these foods benefit your health? Do you drink beverages that have added vitamins or minerals, such as vitamin waters or energy drinks? If you do, why, and how have they affected your health? In your opinion, do the benefits of supplements and/or fortified foods and beverages justify their cost? Why or why not

Subjects