What is the mean (in milliliters)? milliliters What is the standard deviation (in milliliters)? milliliters What is the z value corresponding to 490 milliliters? Z

A value has been measured by Instrument A 33 times with a standard deviation of 4.3. Another value has been measured 7 times with Instrument B. Within what range will the standard deviation of the Instrument B observation have to fall to be considered equivalent quality at a 95% confidence level? Hint: Use the F-Distribution.

Two soft drink machines dispense liquids of 10 ounces, on the average. The question is whether the two machines are equally consistent in the dispensing of the liquid. To answer this question, a sample of size 10 was obtained from each machine and the sample standard deviations were computed to be s1 = 1.87 ounces and s2 = 1.25 ounces. Perform the appropriate test of hypothesis using α = 0.05

Problem 1. Find the mean, median, standard deviation and interquartile range of the following data. 6282148475618598425

Assume that n the population of all students who take the SAT test, the total scores are normally distributed 1509 and std. deviation=312. What proportion of SAT scores fall below 18507 with a mean = Pigure 3a SAT Scores, Mean 1508, St Dev -312 Green area= the proportion of scores less than 1850. 1650

A process converts lead to gold. However, the production varies due to the power of the alchemist. It is known that the process is normally distributed with a standard deviation of 2.5g. How many samples must be taken to be 90% certain that an estimate of the mean process is within 1.5g of the true but unknown mean yield?

A company makes electrical resistors. The perfect resistor has a value of 400 ohms. A sample of 2000 resistors was tested and found to have a mean of 391.5 ohms and a standard deviation of 22.5 ohms. Assuming a normal distribution:a. How many resistors in the sample will have more than 440 ohms of resistance?b. How many resistors in the sample will have less than 360 ohms of resistance? note: you can use the frequency distribution table picture I attached.

Suppose you have conducted 25 measurements of a random variable (Temperature) and obtained the following data in Table 2 below: Calculate the sample mean temperature, standard deviation, and standard deviation of the means of these temperature measurements.  Estimate 95% confidence interval for true mean temperature. Determine the range within which the true mean temperature exists at a 95% confidence level based on this finite dataset

A force measurement system (weight scale) has the following specifications as shown in Table 1: Estimate the overall instrument uncertainty for this system based on available information. FSO refers to full-scale operating range.

2. An electrical firm manufactures light bulbs that have a lifetime that is approximately normally distributed with a standard deviation of 36 hours. A lifetime test of n=36 samples resulted in the sample average of 1510 hours. Assume the significance level of 0.05. (a) Test the hypothesis Ho: µ = 1000 versus H1: µ# 1000 using a p-value. (b) Test the hypothesis using critical region(s) approach. (c) Suppose that the true mean lifetime is 1510 hours. What is type Il error probability for this| two-sided test.