random samples

In 2002 Football World Cup finals tournament a total of 64 matches were played and an average of 2.52 goals were scored per match. Assume the standard deviation to be 1.5. If a random sample of 10 games is selected, then find the probability that the mean of the sample..

A central office operator has observed that the long distance telephone calls are normally distributed with a mean of 6 minutes and a standard deviation of 2 minutes. If random samples of 32 calls were selected, what is the probability that the length of the sample mea..

A random sample of 86 days taken at a large hospital shows that an average of 32 patients were treated per day. The 95% confidence interval of the mean number of patients treated each day at the hospital is between 30 and 34. Find the 95% confidence interval of the mean number o..

A bag has red, blue, and green balls. A coin is tossed and a ball is picked at random simultaneously. Find the sample space from the tree diagram. => (RH, RT, BG, BT, GH, GT) or (RH, RB, BH, BT, GH, GT) or (RH, RT, BH, BT, GH, GT) or (RH, HT, BH, BT, GH, GT)..

A standard notebook is supposed to have on an average, 200 pages, with a standard deviation of 2 pages. From a supply of 2500 notebooks, a random sample of 40 notebooks was taken and found that the mean number of pages in the notebook was 197. Test at the 0.05 level of confidenc..

A clothing manufacturer produces 4000 T-shirts per week. A random sample of 200 T-shirts is checked and 20 are found to have defects. What would be the best prediction of the number of defective T-shirts in each week of the production? => 440 or 400 or 410 or 380..

A standard notebook is supposed to have on an average, 200 pages, with a standard deviation of 2 pages. From a supply of 2500 notebooks, a random sample of 40 notebooks was taken and found that the mean number of pages in the notebook was 197. Determine the 95% confidence interv..

A retail garment shop receives a shipment of trousers, with a standard length of 49.0 in. and a standard deviation of 1.0 inch. A random sample of 32 trousers had a mean length of 48.8 in. Find the standard error. => 5.0 or 3.2 or 1.0 or 0.18..

A company reported that 95% of the batteries manufactured by it would provide back up support for 50 hours continuously. In a random sample of 120 batteries, 113 supported 50 hours continuously. Find the test value at α = 0.01. Is there enough evidence to reject the compan..

A random sample was collected on the drinking habit of the people in a town. The results are tabulated as shown. At α = 0.01, find the chi-square test value and check if there appears to be a gender difference with respect to the drinking habit. => 95.22, dependent on the ..