one sample test for mean

A cement manufacturer claims that the maximum final setting time of cement is 10 hours. A sample of 13 bags were tested and found that the mean of the maximum final setting time was 11.2 hours with a standard deviation of 1.8 hours. At α = 0.01, can the..

A population consists of the five numbers 2, 4, 6, 8 and 10. Consider all the samples of size 2 that can be drawn with replacement from the population. Find the mean of the sampling distribution means. Also find the difference between the population mean..

Assume that the weights of 3,000 students at a university are normally distributed with mean 150 pounds and a standard deviation of 7 pounds. If 100 samples of 30 students each are obtained, then what would be the expected mean and standard deviation of the resulting h..

The mean score on a standardized test is 100 with a standard deviation of 8. A random sample of 48 scores was found to have a mean of 98. Find the 95% confidence interval. => The interval is between 97.75 and 102.25 or The interval is between 1.15 a..

A random sample yielded the average height for boys and girls at the age of 7. Estimate the test value and the mean difference in height between boys and girls with 90% confidence. Boys Girls Size 12 10 Mean height 100.45 cm 98.5 cm Variance 32 46 => 0.736, t..

If two samples have means of 24 and 28 and standard deviations of 4 and 6, with 12 and 15 as the sizes, find the z score for difference of two population means. => 2.07 or 7.73 or 1.07 or 1.93..

Samples of concrete blocks were tested in a lab to determine the crushing strength of the concrete. The crushing strength of block E was missing from the final records. The sample mean of the crushing strength was recorded as 4.45 tonnes/cm 2 . Find the crush..

The normal monthly precipitation (in inches) for a sample of 32 cities is shown. Estimate the mean precipitation(μ) per city with 99% confidence. => 1.92 < μ < 3.12 or 1.71 < μ < 3.22 or 2.24 < μ < 3.06 or 2.16 < μ < 3.2..

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 s..

A study of 50 basket ball players showed that their scoring average is 15.8 points per game. The 90% confidence interval of the mean score for all players is between 14.1 and 17.5. Find the 90% confidence interval of the mean score(μ) if 100 players are considered i..