Confidence Intervals using the one-sample t-statistic
A researcher was interested in estimating the average number hours of sleep of her graduate statistics students. The researcher obtained a random sample of 6 graduate statistics students and asked them the number of hours of sleep. She then calculated a 95% confidence interval to estimate the population average number of hours of sleep The data appear in the table below.
Hours of sleep |
19 |
21 |
21 |
30 |
21 |
20 |
Confidence Intervals using the one-sample t-statistic A researcher was interested in estimating the average number hours...
One-Sample t Hypothesis Testing A researcher was interested in whether the graduate students enrolled in American stats classes have a different IQ than graduate students in British stats classes. It is known that the population’s mean IQ of students in American stats classes is 98. The researcher obtained a random sample of 6 British graduate students and asked them their IQ. These data appear in the table below. IQ 95 89 97 110 98 101
Constructing Confidence Intervals, Part 1: Estimating Proportion Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level: In a random sample of 200 college students, 110 had part-time jobs. Find the margin of error for the 98% confidence interval used to estimate, for the entire population of college students, the percentage who have part-time jobs. Round your answer to three decimal places. Please...
A professor at a university wants to estimate the average number of hours of sleep students get during exam week. On the first day of exams, she asked 27 students how many hours they had slept the night before. The average of the sample was 3.79 with a standard deviation of 1.224. When estimating the average amount of sleep with a 99% confidence interval, what is the margin of error? 1) 0.3549 2) 0.6546 3) 0.5839 4) 0.2356 5) 0.6527
A researcher is interested in finding a 95% confidence interval for the mean number minutes students are concentrating on their professor during a one hour statistics lecture. The study included 96 students who averaged 37.1 minutes concentrating on their professor during the hour lecture. The standard deviation was 13.6 minutes. Round answers to 3 decimal places where possible. a. To compute the confidence interval use a distribution. b. With 95% confidence the population mean minutes of concentration is between and...
2. Suppose that a random sample of 41 state college students is asked to measure the length of their right foot in centimeters. A 90% confidence interval for the mean foot length for students at this university turns out to be (21.709, 25.091). If we now calculated a 95% confidence interval, would the new confidence interval be wider than or narrower than or the same as the original? b. Suppose two researchers want to estimate the proportion of American college...
A researcher is interested in finding a 95% confidence interval for the mean number of times per day that college students text. The study included 141 students who averaged 25.7 texts per day. The standard deviation was 21.2 texts. Round answers to 3 decimal places where possible. a. To compute the confidence interval use a tv distribution. 0 and b. With 95% confidence the population mean number of texts per day is between texts. c. If many groups of 141...
A researcher is interested in estimating the mean cholesterol level in men. Based on a simple random sample of 54 men, the 95% confidence interval for the population mean μ was 189.9 < μ < 210.1 A. If 100 different samples of size 54 are selected, and based on each sample, a confidence interval was constructed, exactly 95 of these confidence intervals would contain the true value of μ. B. If many different samples of size 54 are selected and,...
A researcher has run an experiment and has properly calculated a confidence interval for a population mean parameter µ. Her 95% confidence interval is (0.351, 0.412). What is the probability that the true, unknown parameter µ is in her 95% confidence interval? Select one: a. 5% b. 95% c. Either 0% or 100%, but we don’t know which. d. This isn’t appropriate because confidence intervals are for sample statistics, not parameters. e. This isn’t appropriate because confidence intervals are for...
A meteorologist in Jenkins county is interested in estimating the average annual rainfall of the region. The annual rainfall is assumed to follow a normal distribution. She takes a sample of last 10 years and obtains an alterage annual rainfall of 39.5 inches and a standard deviation of 3.8 inches. Estimate a 95% confidence interval for the population mean. 39.5 +/-
A business student is interested in estimating the 95% confidence interval for the proportion of students who bring laptops to campus. He wishes a precise estimate and is willing to draw a large sample that will keep the sample proportion within six percentage points of the population proportion. What is the minimum sample size required by this student, given that no prior estimate of the population proportion is available? Use Table 1. (Round intermediate calculations to 4 decimal places and...