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

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1 views help_outlineImage TranscriptioncloseFill 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. fullscreen
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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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