The weights of soy patties sold by a diner are normally distributed. A random sample of 15 patties yields a mean weight of 3.8 ounces with a sample standard deviation of 0.5 ounces. At the 0.05 level of significance, perform a hypothesis test to see if the true mean weight is < 4 ounces. What is the correct conclusion at the 0.05 level of significance?

Step-by-step explanation:

Mean weigth is 3.8

standard deviation 15 =0.5

sd2 =15*(sd₁₅ )²

sd=(15*0.25)^0.5

sd=1.94

z=(3.8-4)/((0.5)/15^0.5)

z=-1.55

p=0.060571

0.060571>.05

true mean weight is less than 4 ounces

test statistic= (sample mean-mean)/((sd of sample)/n^0.5)

test statistic=(3.8-4)/((0.5)/15^0.5)

test statistic=-1.55

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere

5+2x=a

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