The amount of bleach a machine pours into bottles

Please must show work for all problems

1. The amount of bleach a machine pours into bottles has a mean of 36 oz. with a standard deviation
of 0.15 oz. Suppose we take a random sample of 36 bottles filled by this machine. The probability
that the mean of the sample exceeds 36.01 oz. is __________.


2. The amount of bleach a machine pours into bottles has a mean of 36 oz. with a standard deviation
of 0.15 oz. Suppose we take a random sample of 36 bottles filled by this machine. The probability
that the mean of the sample is less than 36.03 is __________.



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3. The amount of bleach a machine pours into bottles has a mean of 36 oz. with a standard deviation
of 0.15 oz. Suppose we take a random sample of 36 bottles filled by this machine. The probability
that the mean of the sample is between 35.94 and 36.06 oz. is __________.


4. The amount of bleach a machine pours into bottles has a mean of 36 oz. with a standard deviation
of 0.15 oz. Suppose we take a random sample of 36 bottles filled by this machine. The probability
that the mean of the sample is between 35.95 and 35.98 oz. is __________.



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5. The amount of bleach a machine pours into bottles has a mean of 36 oz. with a standard deviation
of 0.15 oz. Suppose we take a random sample of 36 bottles filled by this machine. So, 95% of the
sample means based on samples of size 36 will be between __________ and __________.


6. A manufacturer of power tools claims that the average amount of time required to assemble their
top-of-the-line table saw is 80 minutes with a standard deviation of 40 minutes. Suppose a
random sample of 64 purchasers of this table saw is taken. The mean of the sampling distribution
of the sample mean is __________ minutes.

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7. A manufacturer of power tools claims that the average amount of time required to assemble their
top-of-the-line table saw is 80 minutes with a standard deviation of 40 minutes. Suppose a
random sample of 64 purchasers of this table saw is taken. The standard deviation of the sampling
distribution of the sample mean is __________ minutes.



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8. A manufacturer of power tools claims that the average amount of time required to assemble their
top-of-the-line table saw is 80 minutes with a standard deviation of 40 minutes. Suppose a
random sample of 64 purchasers of this table saw is taken. The probability that the sample mean
will be less than 82 minutes is __________.



9. A manufacturer of power tools claims that the average amount of time required to assemble their
top-of-the-line table saw is 80 minutes with a standard deviation of 40 minutes. Suppose a
random sample of 64 purchasers of this table saw is taken. The probability that the sample mean
will be between 77 and 89 minutes is __________.



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10. A manufacturer of power tools claims that the average amount of time required to assemble their
top-of-the-line table saw is 80 minutes with a standard deviation of 40 minutes. Suppose a
random sample of 64 purchasers of this table saw is taken. The probability that the sample mean
will be greater than 88 minutes is __________.


11. A manufacturer of power tools claims that the average amount of time required to assemble their
top-of-the-line table saw is 80 minutes with a standard deviation of 40 minutes. Suppose a
random sample of 64 purchasers of this table saw is taken. So, 95% of the sample means based on
samples of size 64 will be between __________ and __________.

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