Business Statistics

QMT2033 assembly line STATISTICS Assignment for mid -term break 1. Most of the information technology developers need that wireless linkup would give speed of at least 11 Mbps compared to wired connection. A try distribution of 105 computers apply wireless connection shows it gives a esteem of 11. 7 Mbps and a cadence deviation of 2. 3 Mbps. a) Do you think that the wireless usage should be implemented? runnel at 7% signifi quite a littlece level). b) restate the test by using p-value approach. 2. A jack is usually used for raising the axle of a push so that a wheel may be changed.It is known that the weight of the vehicle that be raised by a jack is more(prenominal) than 100kg. a random sample of 125 jacks with a mean of 102. 2kg and standard deviation of 15. 17kg is backpackn. a) Do you agree that a jack can raise more than a 100 kg vehicle? (use ? = 0. 03) b) reverberate the test by using p-value approach. 3. In a normal situation, on average, a song need a duratio n of at intimately 3. 5 proceeding 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 ? = 0. 05) b) retroflex the test by using p-value approach. 4. A detective needs on average, 1. 2 years to plump his short-term research. A random sample of 12 investigator 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 ? =0. 05) b) Repeat the test by using p-value approach. 5.Newly purchased automobile tyres of a certain grammatical case 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% import 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 pay off 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 base on the sample taken? (Use 0. 017 level of significance). Repeat the test by using p-value approach. 7. A manufacturer has developed a new look for line, which he claims has a mean breaking 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 you service the manufacturer to test his claim? (Use a significance level of 0. 08). Repeat the test by using p-value approach.