Our Services

Get 15% Discount on your First Order

Boxes of cereal are advertised as having a net weight of 14 ounces….

January 25, 2024

Boxes of cereal are advertised as having a net weight of 14 ounces. The weights of boxes are assumed to be normally distributed. A new cereal box-ﬁlling machine is purchased, and we wish to be sure that on average, it puts at least the correct amount of cereal in the boxes. We randomly select 16 boxes, and ﬁnd they have weights with sample mean 13.5 ounces and sample standard deviation 1.1 ounces.

(a) Suppose your data included all the box weights. How would you check the normal distribution assumption? Explain what would indicate a violation of this assumption.

– You do not have to perform the check on the given data

(b) Perform a test of the null hypothesis that the average net weight of the boxes of cereal produced by the new machine is greater than or equal to 14 ounces, against the alternative that it is less than 14 ounces. What test should be used in this situation? Explain your reasoning. What is the value of the test statistic?

(c) Compute the signiﬁcance probability, or p-value. Is there suﬃcient evidence to conclude that the new machine is under-ﬁlling the cereal boxes? Test at level α = 0.05.

advertised, boxes, cereal, NET, ounces, Statistics and Probability, Weight

Share This Post

Order a Similar Paper and get 15% Discount on your First Order

Related Questions

The null hypothesis is Ho: p1=p2 and alternative is Ha: p1 not = to…

The null hypothesis is Ho: p1=p2 and alternative is Ha: p1 not = to p2 and level of significance is alpha =0.05 My question is if i am using a two tailed z test for this then why am I using the two tailed z hypothesis test?

Which of these examples best represents a simple random sample? a.)…

Which of these examples best represents a simple random sample? a.) Picking out the names of every 10th person from a group of 200 people who drive a car. b.) Selecting every 15th person in a group of 100 volunteers. c.) Using a name generator to pick out 20 names

You are studying the relationship between diets and body weight, as…

You are studying the relationship between diets and body weight, as well as gender. You fed both male and female mice with 4 different diets for 2 months. These mice had the same genetic background and the same body weight before the study. They were of the same age and

In the United States, tire tread depth is measured in 32nds of an…

In the United States, tire tread depth is measured in 32nds of an inch. Car tires typically start out with 10/32 to 11/32 of an inch of tread depth. In most states, a tire is legally worn out when its tread depth reaches 2/32 of an inch. A random sample

Calculate the range, variance, and standard deviation for the…

Calculate the range, variance, and standard deviation for the following data, which represent students’ scores on the SAT after reading the passage. Hint: you might like to use R as a calculator to find the square root of a number. To do this, type sqrt() and within the parentheses, type

6. A quiz consists of five true-false questions: …

6. A quiz consists of five true-false questions: _________ a. How many elements are in the sample space for answering the quiz? _________ b. If a student answers the test FTFTF, what is the probability that the student answered all five questions correctly?

Sampled from Weight-IAT One sample T confidence interval: μ : Mean…

Sampled from Weight-IAT One sample T confidence interval:μ : Mean of variable 90% confidence interval results: Variable Sample Mean Std. Err. DF L. Limit U. Limit Sample(Age) 31.123257 0.43038785 999 30.414675 31.831839 Are conditions met to estimate the mean age for the population of IAT participants? (Be sure to support

Standard for Comparison 1. When different subjects in…

Standard for Comparison 1. When different subjects in different groupsexperience a single condition, it’s abetween-subjects design, explain how it is a between-subjects design. 2. Instead of different subjects in differentgroups experiencing a single condition,each subject experiences every condition, this is a within-subjects design. Explain how it

A variable x� is normally distributed with mean 16 and standard…

A variable x� is normally distributed with mean 16 and standard deviation 8.Round your answers to the nearest hundredth as needed. a) Determine the z�-score for x=20�=20.b) Determine the z�-score for x=12�=12.c) What value of x� has a z�-score of 0.630.63?d) What value of x� has a z�-score of −0.1-0.1?e)

2) Use the expected value of perfect information (EVPI) to…

2) Use the expected value of perfect information (EVPI) to determine whether the manufacturing company should attempt to obtain a better estimate of the response. Please Justify your answers and explain in brief.

1-According to the Empirical Rule what percent of the population is…

1-According to the Empirical Rule what percent of the population is between 2 standard deviation below the mean and 1 standard deviations above the mean? 97.35% 16% 2.5% 83.85% 0.15% 81.5%

ADDRESS TOWN YEAR BUILT LIST PRICE ASSESSMENTS TAXES SALE PRICE…

ADDRESS TOWN YEAR BUILT LIST PRICE ASSESSMENTS TAXES SALE PRICE SQUARE FEET 1077 Main St Agawam, MA 2019 339900.00 75600.00 1259.00 320000.00 1600 44 Rochester St Chicopee, MA 1900 155000.00 105800.00 1847.00 160000.00 638 13 PIERCE ST Agawam, MA 1900 139000.00 115600.00 1925.00 147500.00 704 55 James St Agawam,

Dogs are inbred for such desirable characteristics as blue eye…

Dogs are inbred for such desirable characteristics as blue eye color; but an unfortunate by-product of such inbreeding can be the emergence of characteristics such as deafness. A 1992 study of Dalmatians (by Strain and others, as reported in The Dalmatians Dilemma) found the following: (i) 31% of all Dalmatians

Which of the measures of central tendency – mean, median, and mode…

Which of the measures of central tendency – mean, median, and mode – is most relevant for understanding the following Number of publications as a measure of success among professors in a department Income inequality in the United States Students’ performance in college Workers’ productivity in an automobile factory. Demonstrations,

Wha is the cumulative area from the left under the curve…

<p> Wha is the cumulative area from the left under the curve for a z-score of -1.732? What is the area on the right of that z-score? Hint: You will have two answers (one for the left and one for the right). Student’s partially finished answer: The first

In 1668 Francesco Redi did a series of experiments on spontaneous…

In 1668 Francesco Redi did a series of experiments on spontaneous generation. He began by putting similar pieces of meat into eight identical jars. Four jars were left open to the air, and four were sealed. He then did the same experiment with one variation: instead of sealing four of

Of the four different types (e.g. normal, positively skewed,…

Of the four different types (e.g. normal, positively skewed, negatively skewed, or bi-modal), identify the frequency distribution by its shape in the chart above and also state some of its specific characteristics (i.e. characteristics = what can we say about this set of scores)? Remember, a “distribution” is defined as

Women’s pulse rates are normally distributed with a mean…

<i> Women’s pulse rates are normally distributed with a mean of 67.8 beats per minute and a standard deviation of 13.3 beats per minute. What is the z-score for a woman having a pulse rate of 63 beats per minute? Student’s incorrect answer: Let z =(x-μ)/σ z =((67.8