QUESTION 4
From a population of cans of coffee marked "12 ounces," a sample of 25 cans is selected and the contents of each can are weighed. The sample revealed a mean of 11.70 ounces and a sample standard deviation of 0.7 ounces. Test to see if the mean of the population is at least 12 ounces. (Assume the population is normally distributed.) Use a .05 level of significance.
4)
This is the left tailed test .
The null and alternative hypothesis is
H0 : = 12
Ha : < 12
Test statistic = t
= ( - ) / s / n
= (11.70 - 12) / 0.7 / 25
= -2.143
Test statistic = -2.143
df = 24
P-value = 0.0212
= 0.05
P-value <
Reject the null hypothesis .
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