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A machine fills coffee powder in pouches, with an average of 200 gm and a standard deviation of 4 gm. Assuming that the coffee weight is normally distributed. Find the probability that a coffee pouch selected at random will contain the following quantity of a coffee: I) At least 200 gm. II) Between 200 to 206 gm


A machine fills coffee powder in pouches, with an average of 200 gm and a standard deviation of 4 gm. Assuming that the coffee weight is normally distributed. Find the probability that a coffee pouch selected at random will contain the following quantity of a coffee: I) At least 200 gm. II) Between 200 to 206 gm


Plate 9: The Marketing students conducted a survey to compare the length of time it took a male and a female student who belong to the same year level to review their lessons before taking the quarterly assessment in Statistics and Probability. The results of the survey were as follows:



Male


n₁=60


x₁ =5.75 hours


s₁ =1.5 hours



Female


n₂=60


x₂=7.25 hours


s₂=0.75hours



Test the claim, x₁ = x₂, at 0.05 level of significance






Find the margin of error if the confidence (significant) level is 95%.

1. n = 100, x = 80, s= 2.5

2. n=250, x = 100, s= 3.25

3. n= 300, x = 250, s = 4.15


The Y intercept formula entails the calculation of the mean for both X and Y. Is this



statement true or false?



1. True.



2. False

What is the percentage of common variance between variables if the correlation


coefficient is -0,7?


1. 70%


2. 4,9%


3. -49%


4. 49%

In a Math test, the mean score is 42 and the standard deviation is 3. Assuming normality, what is the probability that the score picked will lie above score 50? *

A potential importer intends to take a sample of 4 mangoes and will not  place an order if the sample mean is less than 1.5 kilos. What is the  probability that the importer will not place an order?

A potential importer intends to take a sample of 4 mangoes and will not  place an order if the sample mean is less than 1.5 kilos. What is the  probability that the importer will not place an order?

Find the area under the normal curve for each z-score. Shade accordingly.




1. P( < 2.20)



2. P( -2.5 < z < 2.01)