Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between 0.346°C and 1.84°C. P(0.346 < Z < 1.84) =
Q: z-scores are normally distributed with a mean of 0 and a standard deviation of 1.
A: Solution : Let z-scores are normally distributed with a mean of 0 and a standard deviation of 1.
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A: Given that. X~N( μ , ?) μ=241 , ?=17 Z-score =( x - μ )/?
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Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…
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- Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.If P(-b<z<b)=0.9716, find b.Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.If P(−b<z<b)=0.206P(-b<z<b)=0.206, find b.The contents of 34 cans of Coke have a mean of x¯¯¯=12.15. Assume the contents of cans of Coke have a normal distribution with standard deviation of σ=0.1. Find the value of the test statistic z for the claim that the population mean is μ=12.The test statistic is
- A normal population has mean =μ9 and standard deviation =σ5 . Find the proportion of the population that is greater than 4 . Round the answers to at least four decimal places. The proportion of the population that is greater than 4 is .The mean is µ = 15.2 and the standard deviation is Η = 0.9.Find the probability that X is between 14.3 and 16.1.GPAS at CCSU are normally distributed with a mean of 2.14 and a standard deviation of 0.52. Find the z-score for a GPA of 2.78.
- Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.If P(z>c)=0.0106, find c.Suppose the mean cholesterol levels of women age 45-59 is 5.2 mmol/l and the standard deviation is 0.7 mmol/l. Assume that cholesterol levels are normally distributed. Find the probability that a woman age 45-59 has a cholesterol level above 6.1 mmol/l (considered a high level). Round to four decimal places.P(x > 6.1) = Suppose doctors decide to test the woman’s cholesterol level again and average the two values. Find the probability that this woman’s mean cholesterol level for the two tests is above 6.1 mmol/l. Round to four decimal places.P(x̄ > 6.1) = Suppose doctors being very conservative decide to test the woman’s cholesterol level a third time and average the three values. Find the probability that this woman’s mean cholesterol level for the three tests is above 6.1 mmol/l. Round to four decimal places.P(x̄ > 6.1) =Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.If P(−b<z<b)=0.945, find b.b=
- GPAs at CCSU are normally distributed with a mean of 2.25 and a standard deviation of 0.45. Find the z-score for a GPA of 2.49.Suppose that the average life of a refrigerator before replacement is μ = 15 years with a (68%of data) range from 13 to 17 years. Let x = age at which a refrigerator is replaced. Assumethat x has a distribution that is approximately normal. Find a good approximation for thestandard deviation of x values.A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 88 and standard deviation σ = 21. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) (a) x is more than 60(b) x is less than 110(c) x is between 60 and 110(d) x is greater than 140 (borderline diabetes starts at 140)