Business Statistics

QMT2033 BUSINESS STATISTICS Assignment for mid -term break 1. close to of the information technology developers claim that wireless connection would give drive on of at to the lowest degree 11 Mbps compared to wired connection. A sample of one hundred five computers using wireless connection shows it gives a misbegotten of 11. 7 Mbps and a standard deviation of 2. 3 Mbps. a) Do you think that the wireless physical exercise should be implemented? Test at 7% significance direct). b) take up the examine by using p-value approach. 2. A jack is usually apply for raising the axle of a motor so that a wheel whitethorn be changed.It is known that the weight of the vehicle that be raised by a jack is more than ascorbic acidkg. a hit-or-miss sample of one hundred twenty-five jacks with a mean of 102. 2kg and standard deviation of 15. 17kg is taken. a) Do you suss out that a jack can raise more than a 100 kg vehicle? (use ? = 0. 03) b) Repeat the test by using p-value approach. 3 . In a normal situation, on average, a song needs a sequence of at well-nigh 3. 5 minutes to be played. The duration of a random sample of 11 songs is taken, and the selective information 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 tale that a song needs a duration of at most 3. 5 minutes to be played? (use ? = 0. 05) b) Repeat the test by using p-value approach. 4. A investigator needs on average, 1. 2 long time to complete his short-term research. A random sample of 12 researcher are taken, and the duration (in geezerhood) 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 ? =0. 05) b) Repeat the test by using p-value approach. 5.Newly purchased simple machine tyres of a certain type are supposed to be make full with a pressure of at m ost 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 canvass that such tyres fill with a pressure of at most 34 psi? (Use 7% significance level). b) Repeat the test by using p-value approach. QMT2033 BUSINESS STATISTICS 6. In a labour-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 the average of 33. 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 p-value approach. 7. A manufacturer has true a new fishing line, which he claims has a mean disruption strength of 15 kilograms with a standard deviation of 0. 5 kilogram. 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 yo u help the manufacturer to test his claim? (Use a significance level of 0. 08). Repeat the test by using p-value approach.