Question

In: Statistics and Probability

A research lab has developed a new instructional technique for statistics. They chose five class topics...

A research lab has developed a new instructional technique for statistics. They chose five class topics and completed five separate studies. For each study, they selected a new sample of students, used the new technique to teach the specific topic, then gave the sample of students a test on that topic. Below are the mean test scores for each of the five studies, along with the population means for students taking the test after the 'traditional' instructional technique. For each of the five studies:

  • carry out a z-test using the expanded hypothesis testing steps, using a two-tailed test and .05 significance level
  • explain the decision the research lab should make for each topic (that is, should the new technique be used to teach the topic covered by the study or not)
  • make a drawing of each distribution
  • calculate the 95% confidence interval for each study
Topic Sample Test Score Mean Sample Test Score SD N Population Test Score Mean Population Test Score SD

Topic A

87 16 40 82 20
Topic B 82 21 44 75 18
Topic C 60 17 49 67 22
Topic D 81 20 45 74 24
Topic E 92 11 38 87 14

Solutions

Expert Solution


Related Solutions

8) A scientific supply company has developed a new breed of lab rat, which it claims...
8) A scientific supply company has developed a new breed of lab rat, which it claims weighs the same as the classic white rat. The population mean (and standard deviation) for the classic white rat is 485 grams (20 grams). A researcher obtained a sample of 76 of the new breed of rats, weighed them, and found M = 500 grams (SD = 12 grams). What test should he do to see if the company’s claim is true? Complete the...
XYZ Ltd. has developed a new product which is expected to have a life of five...
XYZ Ltd. has developed a new product which is expected to have a life of five years before it becomes obsolete. The project would be terminated after five years. The plant and equipment is expected to have a salvage value of $500,000 at the end of the project’s life. The company is in the tax bracket of 30 per cent and required return for this project is 15 per cent. XYZ Ltd. has put together the following information about the...
1. Students in a business statistics class developed a pricing model for diamond stones. The top...
1. Students in a business statistics class developed a pricing model for diamond stones. The top and bottom portions of the data set that the students collected are reproduced here; dots indicate that the intervening rows in the data set are not displayed. Diamond ID Price ($) Weight (Carats) Color Clarity Certication Body 1 8, 873 1.01 H VS2 1 2 3,635 0.52 E VSl 1 3 11,696 1 F VVSl 3 4 8,095 1 VSl 3 5 3,501 0.5...
Start by creating a new Visual Studio solution, but chose a “class library .Net Core” as...
Start by creating a new Visual Studio solution, but chose a “class library .Net Core” as the project type. It will create a file and a class definition in that file.  Rename the file to be ToDo.cs  and accept the suggestion which will also rename that class to be Class Todo { } In that class, create             - a string property called Title             - an int property called  Priority             - a bool property called Complete Also, define one Constructor that takes in one...
A process engineer developed a new packaging technique for coffee bags which is believed to provide...
A process engineer developed a new packaging technique for coffee bags which is believed to provide a standard deviation for the weight of coffee in the bag equal to 5g. A sample of 25 coffee bags is found to have a standard deviation of 7g. Can we believe the claim of the engineer (use 95% level of significance and consider the P-value)? a) Yes (P-value<0.025) b)Yes (P-value>0.05)   c)Yes (P-value<0.05) d)Yes (P-value>0.025)                 e) No (P-value<0.025)   f)No (P-value>0.05)     g)No (P-value<0.05)   ...
Q1. The research department of ABC Limited has recently developed a new product which can be...
Q1. The research department of ABC Limited has recently developed a new product which can be manufactured using either of two methods. The costs involved under each of these methods are: Method I: Plant with an estimated useful life of five years and a nil scrap value would be acquired for GH¢200,000. Fixed expenses (other than depreciation) would amount to GH¢60,000 per annum and variable costs per unit would be GH¢35. Method II: Plant with an estimated useful life of...
You have joined a research lab that is testing new vaccines for a new strain of...
You have joined a research lab that is testing new vaccines for a new strain of the influenza A virus (IAV). The lab's prior studies have shown that when C57BL/6 laboratory mice are given non-pathogenic bacteria that have been engineered to express a 16 amino acid peptide, after about a month the mice produce IgG antibodies that effectively neutralize IAV. Your project is to test serum samples from healthy adult humans who were given these bacteria 6 weeks ago as...
RCA has developed five alternative album covers for the new Clay Aiken cd. On cover one,...
RCA has developed five alternative album covers for the new Clay Aiken cd. On cover one, Clay is surrounded by kitties. On cover two, Clay is surrounded by beautiful women in revealing swimwear. On cover three, Clay’s face has been painted to look like Peter Criss of the rock & roll band “Kiss.” On cover four, Clay is pictured playing miniature golf with his friend Ruben. On cover five, all the viewer sees is a close-up of Clay’s freshly-ironed hair....
Lab Objectives Be able to declare a new class Be able to write a constructor Be...
Lab Objectives Be able to declare a new class Be able to write a constructor Be able to write instance methods that return a value Be able to write instance methods that take arguments Be able to instantiate an object Be able to use calls to instance methods to access and change the state of an object Introduction Everyone is familiar with a television. It is the object we are going to create in this lab. First we need a...
After extensive research and development, Goodweek Tires, Inc., has recently developed a new tire, the SuperTread,...
After extensive research and development, Goodweek Tires, Inc., has recently developed a new tire, the SuperTread, and must decide whether to make the investment necessary to produce and market it. The tire would be ideal for drivers doing a large amount of wet weather and off-road driving in addition to normal freeway usage. The research and development costs so far have totaled about $10 million. The SuperTread would be put on the market beginning this year, and Goodweek expects it...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT