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The mean length of certain construction lumber is supposed to be 8.5 feet. A random

sample of 21 pieces of such lumbers gives a sample mean of 8.3 feet and a sample

standard deviation of 1.2 feet. A builder claims that the mean of the lumber is different

from 8.5 feet. Does the datasupport the builder's claim at a= 0.05?


Step:

1.State the null and alternative hypothesis concerning the population mean, "\\mu" and the type of test to be used.

2.Specify the level of significance "\\alpha"

3.State the decision rule

4.Collect the data and perform calculations.

5. Make a statistical decision.

6.State the conclusion.


A supermarket boasts that checkout times for customers are never more than 15 minutes. A random sample of 36 costumers reveals a mean checkout time of 17 minutes with a standard deviation of 3 minutes. What can you conclude about the supermarket’s boast at the 0.05 level? 


water flow at a rate of 0.25 cm³/min in a horizontal pupe of varying cross sectional areas.Calculate the velocity of the water at a section where the rafius of the pupe is 6cm and (b) at a section where the rafius is 9cm

A coin is tossed 10 times. Find the probability that at least three are tails.



How many grams of KOH would be needed to make 50.0 mL of a 3.00 M KOH solution? 


What molarity of sugar water would be made if you diluted 100.0 mL of 6.0 M sugar water solution to a total volume of 500.0 mL? 


A box is to be made out of a piece of cardboard 38 cm x 38 cm, by cutting equal squares out of the

corners and turning up the sides. Find the volume of the largest box that can be made.


Albert builds rectangular pig pen with two parallel partitions using 300 meters of

fencing materials. What should be the dimensions of the pig pen so that it would enclose the largest

possible area?


if a force of 6900N is raised in a height of 15meters in 36 seconds what is the work done and the power developed?


an energy source forces a constant current of 2.5amps for 20 seconds to flow through a light bulb. if 3kilojoules is given of in the form of light and heat energy calculate the charge of the current and the voltage drop across the bulb.


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