The weights of soy patties sold by Veggie Burgers Delight are normally distribut
ID: 3394988 • Letter: T
Question
The weights of soy patties sold by Veggie Burgers Delight are normally distributed. A random sample of 18 patties yields a mean weight of 3.72 ounces with a sample standard deviation of 0.6 ounces. At the .05 level of significance, perform a hypothesis test to see if the true mean weight is less than 4 ounces. What is the standard error of the mean? What is the null hypothesis? Is the alternative one - or two-sided? What is the value of the test statistic? What is the P-value of the test statistic? What do you conclude at alpha = .05?Explanation / Answer
a)
standard error of mean = std/sqrt(n)
= 0.6/sqrt(18)
= 0.1414
b)
null hypothesis
Ho: u < 4
Ha: u >=4
c)
alternate hypothesis is one sided
d)
test statistic
= x-u/standard error
= 3.72 -4 /0.1414
= -1.98
e)
P -value =
P(Z > -1.98) = 0.9761
f)
at alpha =0.05 we conclude there is sfficient evidence to reject null hypothesis
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