A sample of 16 randomly chosen cylindrical shafts gave a mean diameter of x̄ = 30.45 mm. The standard deviation of the sample is s = 0.96 mm. Determine a 95% confidence interval for the mean diameter.
ans: 29.9385 < u < 30.9615
please show work
A sample of 16 randomly chosen cylindrical shafts gave a mean diameter of x̄ = 30.45 mm
A sample of size n = 89 has sample mean x̄ = 87.2 and sample standard deviation s = 5.3. Construct a 95% confidence interval for the population mean ?. b. If the confidence level were 99%, would the confidence interval be narrower or wider? ( I am having trouble figuring out how the t-critical value of 1.963 is calculated as the answer for (a) and t-critical value for b) It does not make sense to me. Can someone explain?
Consider a machine that produces metal pieces which are cylindrical in shape. We select a sample of nine pieces and measure the diameters: 1.01; 0.97; 1.03; 1.04; 0.99; 0.98; 0.99; 1.01; 1.03 The sample and sample standard deviation are x̄ = 1.00556 and s = 0.02455, respectively. Give a 95% confidence interval for the true mean diameter, assume that the population is normal.
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5. A machine is producing metal parts that are cylindrical in shape. A sample of 12 parts are taken and the average diameter was found to be 10 mm. Sample standard deviation was 0.282. Find a 95 percent confidence interval for the mean diameter of pieces for this machine. Assume a normal distribution
The
number of steps to cover the same distance was measured for 31
randomly chosen people. The sample mean is x = 3540 steps and the
sample standard deviation is s = 708 steps. assume distribution to
be normal.
Reserve Problems Chapter 8 Section 2 Problem 4 The number of steps to cover the same distance was measured for 31 randomly chosen people. The sample meanis 3540 steps and the sample standard deviation is s = 708 steps. Assume distribution...
Now assume that instead of a sample of 365 kindergarten
students, your sample consisted of 16 randomly selected kids. Find
the 95% confidence interval of the mean for all kindergarteners in
the US.
A study of 365 randomly-selected kindergarten students across the US revealed that they had seen an average of 3000 hours of television. If the standard deviation is 300, us distribution find the 95% confidence interval of the mean for all kindergarteners in the U 5) e the...
QUESTION 12 A sample of size 100 is chosen from a population. The sample mean is 100 and the standard deviation is 15. Find the upper limit of the 95% confidence interval for the population mean. Round off to three decimal places
Assume we measure the heights of 40 randomly chosen men and get a mean 175 cm and standard deviation of 20 cm. Find the point estimate of the population mean, x ̅, of the height of men Find the standard error Find the margin of error, E, for 95% Confidence level. Find the Confidence Interval,
1) A sample of size 25 is chosen from a population. Assume the probability distribution is normal. If the mean of the sample is 80 and the standard deviation is 6, find the lower bound of the 99% confidence interval. Round off to three decimal places. 2) A sample of size 36 is chosen from a population. The sample mean is 50 and the standard deviation is 5. Find the upper limit of the 95% confidence interval for the population...
A consumer affairs investigator records the repair cost for 16 randomly selected VCRs. A sample mean of $77.34 and standard deviation of $24.56 are subsequently computed. Determine the 80% confidence interval for the mean repair cost for the VCRs. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places. Answer(How to Enter) 2 Points T Tables Keypad