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Asked Feb 21, 2020
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Fill in the blank: If the null hypothesis is Ho: µ < 5, then the mean of x under the null
distribution is
i.
ii.
iii. Any number less than or equal to 5.
iv. We can't tell unless we know H1.
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Fill in the blank: If the null hypothesis is Ho: µ < 5, then the mean of x under the null distribution is i. ii. iii. Any number less than or equal to 5. iv. We can't tell unless we know H1.

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Expert Answer

Step 1

Points on sampling distribution of the sample mean:

  • If the true population distribution of a random variable, say, x, is normal with parameters, mean μ and standard deviation σ, then, whatever be the size (n) of the sample taken from the population, the distribution of the sample mean is also normal, with parameters, mean μ and standard deviation σ/√n.
  • Even if the true population distribution of a random variable, say, x, is not normal and has population mean μ, standard deviation σ, then, for a large size (n ≥ 30) of a sample taken from the population, ...

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