900 students were surveyed and had an average GPA of 2.7 with a standard deviation of 0.4. Calculate the margin of error for a 95% confidence level:
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900 students were surveyed and had an average GPA of 2.7 with a standard deviation of 0.4. Calculate the margin of error for a 95% confidence level:
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- You measure 25 randomly selected textbooks' weights, and find they have a mean weight of 73 ounces. Assume the population standard deviation is 5.8 ounces. Based on this, construct a 95% confidence interval for the true population mean textbook weight.A group of 49 randomly selected students has a mean age of 22.4 years. Assume the population standard deviation is 3.8. Construct a 90% confidence interval for the population mean. Include a statement interpreting your answer.The standard deviation, S, for the annual medical cost of 24 households was found to equal $1689 find a 95% confidence interval for the standard deviation of the annual medical cost for all households. Assume medical costs are normally distributed.
- A study by the International Coffee Organisation found that persons aged 30 – 59 drank an average of 0.57 cups of coffee per day. Assuming that the sample size is 200 with a sample standard deviation of 0.4 cups, construct a 95% confidence interval for the population mean cup of coffee. Interpret your answer.In a recent sample of 89 used cars sales costs, the sample mean was $6,225 with a standard deviation of $3,151. Assume the underlying distribution is approximately normal. Which distribution should you use for this problem? Construct a 95% confidence interval for the population mean cost of a used car.In a random sample of 17 people, the mean commute time to work was 30.2 minutes and the standard deviation was 7.1 minutes. Assume the population is normally distributed and use a t- distribution to construct a 95% confidence interval for the population mean y. What is the margin of error of y? Interpret the results.
- Ohio is surveying the price of nitrogen, which is necessary for many manufacturing processes. The state surveyed 60 stores across the state; the mean price is $0.31 per pound, and the standard deviation is $0.05. The confidence level is 95%. What is the margin of error? O 0.0125 O 0.0127 O 0.0129 O 0.0131In a sample of 100 individuals, the average height is 170 cm and the standard deviation is 15 cm. Using a 95% confidence level, what is the margin of error for the mean height of the population?Construct a 90% confidence interval for the population mean, μ . Assume the population has a normal distribution. A sample of 15 randomly selected students has a grade point average of 2.81 with a standard deviation of 0.63 .
- A survey of 73 randomly selected homeowners finds that they spend a mean of $74 per month on home maintenance. Construct a 95% confidence interval for the mean amount of money spent per month on home maintenance by all homeowners. Assume that the population standard deviation is $16 per month. Round to the nearest cent.In a sample of 45 students, the mean scholarship amount received was $854, with a standard deviation of $17.25. Contruct a 90% confidence interval for the mean scholarship award for all students. Round your answer to the nearest cent.A statistician selected sample of 16 accounts reviewable and determined the mean of the sample to be $5,000 with a standard deviation of $400. She reported that the sample information indicated the mean of the population ranges from $4,739.80 to $5,260.20. She did not report what confidence coefficient she has used. Based on the above information, determine the confidence coefficient that was used.