A sample of size 10 is taken from the population of morel mushrooms and used to calculate an average height =4.6 centimeters. Suppose the sample standard deviation is calculated to be s 0.6. What is the margin of error for a 90% confidence interval? Round yoranswerto 3 decimal places
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- The mean act composite score of students is 22 with a standard deviation of 3.75. Assume the act scores of students are normally distributed. A friend of yours has an act composite score of 30. Determine your friends percentile rank and round two decimalsAssume that adults have IQ scores that are normally distributed with a mean of 104.5 and a standard deviation 24.7. Find the first quartile Q,. which is the IQ score separating the bottom 25% from the top 75%. (Hint Draw a graph.) The first quartile is (Type an integer or decimal rounded to one decimal place as needed.)A company wants to estimate the time its trucks take to drive from city A to city B. The standard deviation is known to be 12 minutes. What sample size is required so that the error does not exceed ±2 minutes, with 95 percent confidence? Multiple Choice 36 observations 139 observations 12 observations 129 observations
- Assume that adults have IQ scores that are normally distributed with a mean of 100.9 and a standard deviation 19.5. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. (Hint Draw a graph.) The first quartile is (Type an integer or decimal rounded to one decimal place as needed.)past experience indicates that the variance in the time it takes for a "fast lube" operation to actually complete the lube and oil change for customers is 9 minutes. the manager wishes to estimate the meantime with 99% confidence and a margin of error of ±0.50 minutes. given this, what must be the sample size be? (Hint. convert variance to standard deviation)Only need help with finding tcalc.
- Records indicate that the mean weight of mature rainbow trout in Eagle Creek is 2.25 kg with a standard deviation of 0.53 kg. After years of marked oxygen depletion from pollutants in the creek, you want to perform a hypothesis test to see if the standard deviation, σ, of weights has changed. To do so, you measure the weights of 16 randomly chosen mature rainbow trout from the creek and find that the sample standard deviation is 0.34 kg. Under the assumption that current weights of mature rainbow trout in the creek follow a normal distribution, you will perform a chi-square test.Find χ2, the value of the test statistic for your chi-square test. Round your answer to three or more decimal places.=χ2Based on a sample of 50 US citizens, the American Film Institute found that a typical American spent around 78 hours watching movies. The standard deviation of the sample is 9 hours. Develop a 95% CI for the population mean number of hours spent watching TV last year. Interpret the interval found. How large a sample should be used to be 90% confident that the sample mean is within 1 hour of the population mean?The principal at Riverside High School would like to estimate the mean length of time each day that it takes all the buses to arrive and unload the students. What is the minimum sample size needed if the principal would like to be 90% confident that the sample mean is off by, at most, 2 minutes. Assume that standard deviation is 14 minutes. (Approximate the final answer)