(Round all intermediate calculations to at least 4 decimal places.) A machine th
ID: 3323728 • Letter: #
Question
(Round all intermediate calculations to at least 4 decimal places.) A machine that is programmed to package 1.65 pounds of cereal in each cereal box is being tested for its accuracy. In a sample of 29 cereal boxes, the mean and standard deviation are calculated as 1.77 pounds and 0.25 pound, respectively. Use Table 2. Select the null and the alternative hypotheses to determine if the machine is working improperly, that is, it is either underfilling or overfilling the cereal boxes. a. A, HO: 21.65; HA: 1.65 Ho: = 1.65; Ha: #1.65 b. Calculate the value of the test statistic. (Round your answer to 2 decimal places.) Test statistic c-1. Approximate the p-value. 0 0.01Explanation / Answer
a)
H0: mu = 1.65
H1: mu not equals to 1.65
b)
Test statistics,
t = (1.77 - 1.65)/(0.25/sqrt(29)) = 2.5849
c-1)
p - value = 0.0152
0.01 < p-value < 0.02
c-2)
At 1% Significance level, Do not reject H0 since p-value is greater than alpha.
d-1)
Critical values are -2.7633 and 2.7633.
d-2)
At 1% significance we can not conclude i.e. No
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