Question

I dont understand this question 1 and 2

1) A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 217.2-cm and a standard deviation of 1.3-cm. For shipment, 6 steel rods are bundled together.
Find the probability that the average length of a randomly selected bundle of steel rods is less than 216.4-cm.
P(M < 216.4-cm) =

2) Let XX represent the full length of a certain species of newt. Assume that XX has a normal probability distribution with mean 246.3 inches and standard deviation 3.9 inches.
You intend to measure a random sample of n=91n=91 newts. The bell curve below represents the distibution of these sample means. The scale on the horizontal axis is the standard error of the sampling distribution. Complete the indicated boxes, correct to two decimal places.
μx¯=

σ¯x=

Answer 1

Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(-1.507, TRUE)" to find the probability.

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