The temperature of a solution will be estimated by taking n independent readings and averaging them. Each reading is unbiased, with a standard deviation of σ = 0.5°C. How many readings must be taken so that the probability is 0.90 that the average is within ±0.1 °C of the actual temperature?

A sample of 14 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean weight was 2 ounces with a standard deviation of 0.12 ounces. The population standard deviation is known to be 0.1 ounce. x = σ = sx =   n = n − 1 =

Solve for the mean and standard deviation of the following Binomial distributions. a. n = 20 and p = 0.70 b. n = 70 and p = 0.35 c. n = 100 and p = 0.50

Assume that thermometer readings are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between 1.00 and 2.25 Draw a sketch. Choose the correct graph below.

Assume that females have pulse rates that are normally distributed with a mean of μ=73.0beats per minute and a standard deviation of σ=12.5 beats per minute.    a. If 1 adult female is randomly​ selected, find the probability that her pulse rate is less than 79beats per minute.   The probability is _____.​(Round to four decimal places as​ needed.)   b. If 16 adult females are randomly​ selected, find the probability that they have pulse rates with a mean less than 79beats per minute.   The probability is ____. (Round to four decimal places as​ needed.)   c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?     A. Since the distribution is of sample​ means, not​ individuals, the distribution is a normal distribution for any sample size.   B. Since the distribution is of​ individuals, not sample​ means, the distribution is a normal distribution for any sample size.   C. Since the mean pulse rate exceeds​ 30, the…

The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean u, the actual temperature of the medium, and standard deviation o. n USE SALT What would the value of o have to be to ensure that 95% of all readings are within 0.8° of µ? (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question.

Assume that thermometer readings are normally distributed with a mean of 0 degreesC and a standard deviation of 1.00degreesC. A thermometer is randomly selected and tested. For the case​ below, draw a​ sketch, and find the probability of the reading.​ (The given values are in Celsius​ degrees.)   Between 0.50   and 2.00

The mean amount of time it takes a kidney stone to pass is 14 days and the standard deviation is 6 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X-N 14 ☑. 6 0° & b. Find the probability that a randomly selected person with a kidney stone will take longer than 10 days to pass it. c. Find the minimum number for the upper quarter of the time to pass a kidney stone. days. Submit Question

For a population with a mean of μ = 100 and a standard deviation of σ = 20,a. Find the z-score for each of the following X values. X = 108X = 90 X = 115X = 88 X = 130X = 95

The mean is μ = 15 and the standard deviation is σ = 0.9.Find the probability that X is between 14.3 and 16.1.