Last Updated 01 Sep 2020

Business Statistics Assignment

Category business
Essay type Research
Words 569 (2 pages)
Views 284

Assignment for Midterm Break

1. Most of the information technology developers claim that wireless connection would give a speed of at least 11 Mbps compared to a wired connection. A sample of 105 computers using wireless connection shows it gives a mean of 11. 7 Mbps and a standard deviation of 2. 3 Mbps.

a) Do you think that wireless usage should be implemented? (Test at a 7% significance level).

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b) Repeat the test by using a p-value approach.

2. A jack is usually used for raising the axle of a motor so that a wheel may be changed. It is known that the weight of the vehicle that is raised by a jack is more than 100kg. a random sample of 125 jacks with a mean of 102. 2kg and a standard deviation of 15. 17kg is taken.

a) Do you agree that a jack can raise more than a 100 kg vehicle? (use α = 0. 03)

b) Repeat the test by using a p-value approach.

3. In a normal situation, on average, a song needs a duration of at most 3. 5 minutes to be played. The duration of a random sample of 11 songs is taken, and the data are as follows:

  • 5. 32
  • 6. 53
  • 4. 52
  • 3. 20
  • 3. 39
  • 4. 00
  • 4. 10
  • 3. 15
  • 3. 47
  • 4. 01
  • 2. 3

a) By using the data, do you agree with the statement that a song needs a duration of at most 3. 5 minutes to be played? (use α = 0. 05)

b) Repeat the test by using a p-value approach.

4. A researcher needs on average, 1. 2 years to complete his short-term research. A random sample of 12 researchers are taken, and the duration (in years) to complete their research are recorded as below:

  • 4. 3
  • 1. 0
  • 1. 5
  • 1. 6
  • 1. 2
  • 0. 8
  • 2. 1
  • 2. 4
  • 0. 7
  • 1. 3
  • 0. 4

a) Do these data support the stamen that a researcher needs exactly 1. 2 years to complete his research? (use α =0. 05)

b) Repeat the test by using a p-value approach.

5. Newly purchased automobile tyres of a certain type are supposed to be filled with a pressure of at most 34 psi. A random sample of 36 such tyres was selected and it gives a sample mean of 34. 66 psi and a standard deviation of 2. 14 psi.

a) Does this sample prove that such tyres fill with a pressure of at most 34 psi? (Use 7% significance level).

b) Repeat the test by using a p-value approach.

QMT2033 BUSINESS STATISTICS

6. In a labor-management discussion it was brought up that workers at a certain large plant, take on average at least 32. 6 minutes to get to work. If a random sample of 60 workers took on an average of 33.0 minutes with a standard deviation of 6.1 minutes, what can you conclude based on the sample taken? (Use 0. 017 level of significance). Repeat the test by using a p-value approach.

7. A manufacturer has developed a new fishing line, which he claims has a mean breaking strength of 15 kilograms with a standard deviation of 0. 5 kilograms. To test the eligibility of the claim, a random sample of 50 lines has been tested and it gave a mean of 14. 9 kilograms. Can you help the manufacturer to test his claim? (Use a significance level of 0. 08). Repeat the test by using a p-value approach.

Remember. This is just a sample.
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Business Statistics Assignment. (2016, Dec 07). Retrieved from https://phdessay.com/business-statistics-assignment/

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