SOLUTION: Hi everyone, I'm having problems trying to work out the solutions to these two questions, is there someone out there who can please help me understand it?? Thankyou heaps The prob

Question 450904: Hi everyone, I'm having problems trying to work out the solutions to these two questions, is there someone out there who can please help me understand it?? Thankyou heaps
The probability that a flavoured milk container holds more than 500mL of use is 0.2. If a batch of 10 of these milk containers is tested, what is the probability that:
(a) At least half of them will contain more than 500mL?
(b) None of them will contain more than 500mL?
Amy thinks that all brands of chocolate taste the same. She decides to test four brands by having 20 people test them and state their preference. Her results are shown below.
Brand of Chocolate
Cadbury - 8
Nestle - 4
Hersheys - 5
Pams - 3
(a) Copy and complete the table to show the expected frequencies in this problem.
(b) Perform the x2 test to see whether there appears to be any significant preference for one brand of chocolate over another.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The probability that a flavoured milk container holds more than 500mL of use is 0.2. If a batch of 10 of these milk containers is tested, what is the probability that:
(a) At least half of them will contain more than 500mL?
Ans: 1 - binomcdf(10,0.2,4) = 0.0328
----------------------------------------------
(b) None of them will contain more than 500mL?
Ans: (0.8)^10 = 0.1074
----------------------------------------
Amy thinks that all brands of chocolate taste the same. She decides to test four brands by having 20 people test them and state their preference. Her results are shown below.
Brand of Chocolate
Cadbury - 8
Nestle - 4
Hersheys - 5
Pams - 3
(a) Copy and complete the table to show the expected frequencies in this problem.
Ans: the expected frequency for each Brand is (1/4)20 = 5
-----------------------------------
(b) Perform the x2 test to see whether there appears to be any significant preference for one brand of chocolate over another.
------
Ho: preferences are the same
Ha: they are different
--------
I ran a Chi-Sq test on the data and got the following:
test statistic: Chi-Sq = 1.3034
p-value = 0.7283
-----
Conclusion: Since the p-value is greater than 5%, fail
to reject Ho. The preferences are statistically equal.
======================
Cheers,
Stan H.
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