Business Statistics

QMT2033 BUSINESS STATISTICS Assignment for mid -term break 1. Most of the information technology developers claim that wireless connection would pay off speed of at least 11 Mbps comp atomic number 18d to wired connection. A judge of 105 computers using wireless connection shows it gives a soused of 11. 7 Mbps and a standard deviation of 2. 3 Mbps. a) Do you think that the wireless usage should be implemented? Test at 7% significance level). b) Repeat the sort by using 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 know that the weight of the vehicle that be raised by a jack is more than 100kg. a random sample of 125 jacks with a mean of 102. 2kg and standard deviation of 15. 17kg is taken. a) Do you agree that a jack can raise more than a 100 kg vehicle? (use ? = 0. 03) b) Repeat the seek by using p-value approach. 3. In a normal situation, on average, a song needs a duration of at some 3. 5 legal 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 more or less 3. 5 minutes to be played? (use ? = 0. 05) b) Repeat the outpouring by using p-value approach. 4. A tec needs on average, 1. 2 years to do it his short-term research. A random sample of 12 researcher 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 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 deviatio n 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 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 developed a new fishing 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 help the manufacturer to test his claim? (Use a significance level of 0. 08). Repeat the test by using p-value approach.