Hypothesis testing

 

 

Hypothesis testing is used in business to test assumptions and theories. These assumptions are tested against evidence provided by actual, observed data. A statistical hypothesis is a statement about the value of a population parameter that we are interested in. Hypothesis testing is a process followed to arrive at a decision between 2 competing, mutually exclusive, collective exhaustive statements about the parameter’s value.

 

Consider the following scenario: An industrial seller of grass seeds packages its product in 50-pound bags. A customer has recently filed a complained alleging that the bags are underfilled. A production manager randomly samples a batch and measures the following weights:

Weight, (lbs)

45.6 49.5

47.7 46.7

47.6 48.8

50.5 48.6

50.2 51.5

46.9 50.2

47.8 49.9

49.3 49.8

53.1 49.3

49.5 50.1

 

To determine whether the bags are indeed being underfilled by the machinery, the manager must conduct a test of mean with a significance level α = 0.05.

In a minimum of 175 words, respond to the following:

State appropriate null (Ho) and alternative (H1) hypotheses.
What is the critical value if we work with a significant level α = 0.05?
What is the decision rule?
Calculate the test statistic.
Are the bags indeed being underfilled?
Should machinery be recalibrated?
(1) What information do we obtain from the null hypothesis? What information do we obtain from the alternate hypothesis?

(2) What do we mean when we refer to the critical value? Explain your answer with regard to the decision rule.

(3) How do you calculate the test statistics with Excel for either the z or t statistic?

Sample Solution

Naïvety is best defined by a person with an extreme lack of judgment or experience in everyday situations. Throughout this journal, authors Amrish Patel and Edward Cartwright discuss how the beliefs of naïve and rational people affect not only their decisions and actions they chose but how they evolve as a person. Patel and Cartwright analyze how naïve viewers chose to believe in anything they are told without inquiring whether or not the statement was credible, and decide to view things only at their superficial appearance. Rational viewers, on the other hand, choose to view situations with a more realistic approach and make decisions based on reason rather than letting their emotions overcome them. Amrish Patel works in the Department of Economics at the University of Gothenburg working in both the behavioral economics and game theory fields, while Edward Cartwright works as Professor of Economics at De Montfort University. As a result of these various achievements and qualifications, these authors are very credible for this topic. The protagonist, Candide, is an extremely naïve character who is exceedingly vulnerable to the domination of the other strong-minded characters. Similar to Patel and Cartwright’s statements, naïve people allow others to influence their decisions due to their disregard for reliable sources.

Van Leeuwen, Marco H.D., and Ineke Maas. “Historical Studies of Social Mobility and
Stratification.” Annual Review of Sociology, vol. 36, 2010, pp. 429–451. JSTOR,
www.jstor.org/stable/25735086

Throughout the many eras such as the Byzantine, the Elizabethan, the Romantic, and many more, the ideas of a social hierarchy system have remained the same. However, the mobility between classes has dramatically changed through various time periods. Throughout this journal, authors Marco H.D. van Leeuwen and Ineke Maas discuss their historical research on social mobility and structure, as well as the shifts in the social imbalance in earlier years and what factors caused these outcomes. Marco H.D. van Leeuwen is an honorary research associate at the International Institute of Social History as well as a Professor of Historical Sociology in Utrecht. Ineke Maas is a Professor at the Department of Sociology at the Universiteit Amsterdam and studies trends in mobility throughout generations, in careers, as well as in marital situations. Due to their many qualifications, Leeuwen and Maas act as an exceptionally reliable source for my topic. This article connects to the Status Mobility and Reactions to Deviance and Subsequent Conformity journal by Elihu Katz, William L. Libby Jr., and Fred L. Strodtbeck because they both discuss the differences of social mobility throughout various eras.

Zollman, Kevin James Spears. “Social Structure and the Effects of Conformity.” Synthese, vol

This question has been answered.

Get Answer