A manufacturer knows that their items have a lengths that are approximately normally distributed, with a mean of 7.9 inc

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A Manufacturer Knows That Their Items Have A Lengths That Are Approximately Normally Distributed With A Mean Of 7 9 Inc 1 (15.32 KiB) Viewed 34 times

A Manufacturer Knows That Their Items Have A Lengths That Are Approximately Normally Distributed With A Mean Of 7 9 Inc 2 (13.83 KiB) Viewed 34 times

A Manufacturer Knows That Their Items Have A Lengths That Are Approximately Normally Distributed With A Mean Of 7 9 Inc 3 (12.6 KiB) Viewed 34 times

A manufacturer knows that their items have a lengths that are approximately normally distributed, with a mean of 7.9 inches, and standard deviation of 0.7 inches. If 46 items are chosen at random, what is the probability that their mean length is greater than 7.6 inches? (Round answer to four decimal places)
A population has parameters μ=244.4 and σ=28.4. You intend to draw a random sample of size n=227. What is the mean of the distribution of sample means? μ2​= What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σz​=
You intend to draw a random sample of size n=578 from a population whose parameter is p=0.39 What is the mean of the distribution of sample proportions? μp^​​= What is the standard deviation of the distribution of sample proportions? (Report answer accurate to 2 decimal places.)