In: Statistics and Probability
(Round all intermediate calculations to at least 4 decimal places.) A machine that is programmed to package 2.05 pounds of cereal in each cereal box is being tested for its accuracy. In a sample of 26 cereal boxes, the mean and standard deviation are calculated as 2.08 pounds and 0.14 pound, respectively. Use Table 2. |
a. |
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. |
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b. |
Calculate the value of the test statistic. (Round your answer to 2 decimal places.) |
Test statistic |
c-1. | Approximate the p-value. | ||||||||||
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c-2. | What is the conclusion at the 10% significance level? | ||||||||
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d-1. | Calculate the critical value(s) at a 10% level of significance. (Round your answer to 3 decimal places.) |
Critical value(s) | ± |
d-2. | Can you conclude that the machine is working improperly? | ||||
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a) 2nd option is correct one
b)Test statistic,t = 1.093
c-1) 0.01<p-value<0.02
c-2) Do not reject H0 since the P-value is greater than alpha = 0.10
d-1) t-critical value = +/- 1.316
d-2) yes