. A machine dispenses a liquid drug into bottles in such a way that the standard deviation of the contents is 45 milliliters. A new machine is tested on a sample of 25 containers and the standard deviation for this sample group is found to be 27 milliliters. At the 2% level of significance, test the claim that the amounts dispensed by the new machine have a smaller standard deviation. (Use χ² - distribution for analysis).

Q: Suppose a variable is Normally distributed with μ=345 and \sigma σ=30. What proportion of the data…

A: Mean(µ) = 345Standard deviations (σ) = 30X ~ N (µ, σ )= N(345, 30)

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A:

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A: Formula : Sample size:

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Q: Suppose a variable is Normally distributed with μ=345 and \sigma σ=30. What proportion of the data…

A: Let X be the random variable from normal distribution with mean (μ) = 345 and standard deviation (σ)…

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A: From the provided information,Z-score = 2

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A:

Q: Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood).…

A:

Q: Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood).…

A: Consider that μ defines the population mean pH of arterial plasma.   Here, it is needed to check…

Q: is there enough evidence to support the​ administrator's claim

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A: Solution

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A:

Q: Suppose that a researcher is interested in estimating the mean systolic blood pressure, µ, of…

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A:

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A: To test the hypothesis we will use t distribution

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A:

Q: Suppose that a researcher is interested in estimating the mean systolic blood pressure, μ, of…

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