The flexural strength of hollow blocks produced by a certain company has a normal distribution with a mean of 550 psi and standard deviation of 6 psi. Suppose the quality inspector randomly selects 25 hollow blocks from a batch of hollow blocks from which a sample mean of the flexural strength was obtained. 1. Is it necessary to use the Central Limit Theorem to determine the sampling distribution of the sample mean? (Yes or No) 2. The sample mean distribution with mean of (exactly or approximately) follows the normal and variance of 3. Suppose it is of interest to test if the mean flexural strength differs from 550 psi, the appropriate test to be used is (Z-test, t-test, or Wilcoxon signed-rank test).

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Answer the following:

The flexural strength of hollow blocks produced by a certain company has a normal
distribution with a mean of 550 psi and standard deviation of 6 psi. Suppose the quality
inspector randomly selects 25 hollow blocks from a batch of hollow blocks from which a
sample mean of the flexural strength was obtained.
1. Is it necessary to use the Central Limit Theorem to determine the sampling distribution of
the sample mean?
(Yes or No)
2. The sample mean
distribution with mean of
(exactly or approximately) follows the normal
and variance of
3. Suppose it is of interest to test if the mean flexural strength differs from 550 psi, the
appropriate test to be used is
(Z-test, t-test, or Wilcoxon signed-rank test).
Transcribed Image Text:The flexural strength of hollow blocks produced by a certain company has a normal distribution with a mean of 550 psi and standard deviation of 6 psi. Suppose the quality inspector randomly selects 25 hollow blocks from a batch of hollow blocks from which a sample mean of the flexural strength was obtained. 1. Is it necessary to use the Central Limit Theorem to determine the sampling distribution of the sample mean? (Yes or No) 2. The sample mean distribution with mean of (exactly or approximately) follows the normal and variance of 3. Suppose it is of interest to test if the mean flexural strength differs from 550 psi, the appropriate test to be used is (Z-test, t-test, or Wilcoxon signed-rank test).
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