Question

A drug, which is used for treating cancer, has potentially dangerous side effects if it is taken in doses which are larger than 57.11mg, the required dosage for the treatment. It is important that the variance of the amount of the active ingredient is 0.01. 25 tablets are randomly selected and the amount of the drug in each tablet is measured. It is determined that the variance of the amount of active ingredient is 0.0023mg. Does the data suggests at α=0.01 that the variance of the drug in the tablets is less than the desired amount? Assume the population is normally distributed.

Step 1 of 5 : State the null and alternative hypotheses. Round to four decimal places when necessary.

Population of standard deviation sign ^2 greater than or equal to 0.01

Population of standard deviation sign ^2 less than 0.01

Step. 2 Determine the critical values of the test statistic. Round to 3 decimals.

Step 3 Determine the value of the test statistic. Round to 3 decimals

Step 4 Reject Null Hypothesis? or Fail to Reject Null Hypothesis?

Step 5 There is sufficient evidence to show that the variance of the share price is different than claimed? or There is not sufficient evidence to show that the variance of the share price is different than claimed?

Answer #1

A drug, which is used for treating cancer, has potentially
dangerous side effects if it is taken in doses which are larger
than 58.68mg, the required dosage for the treatment. It is
important that the variance of the amount of the active ingredient
is 0.02. 25 tablets are randomly selected and the amount of the
drug in each tablet is measured. It is determined that the variance
of the amount of active ingredient is 0.0191mg. Does the data
suggests at...

A drug, which is used for treating cancer, has potentially
dangerous side effects if it is taken in doses which are larger
than 47.87mg, the required dosage for the treatment. It is
important that the variance of the amount of the active ingredient
is 0.04. 15 tablets are randomly selected and the amount of the
drug in each tablet is measured. It is determined that the variance
of the amount of active ingredient is 0.0008mg. Does the data
suggests at...

A drug, which is used for treating cancer, has potentially
dangerous side effects if it is taken in doses which are larger
than the required dosage for the treatment. The tablet should
contain 58.32mg and the variance should be 0.03. 25 tablets are
randomly selected and the amount of drug in each tablet is
measured. The sample has a mean of 58.325mg and a variance of
0.004mg. Does the data suggest at α=0.05 that the tablets vary by
less than...

A drug, which is used for treating cancer, has potentially
dangerous side effects if it is taken in doses which are larger
than the required dosage for the treatment. The tablet should
contain 57.89mg and the standard deviation should be 0.04. 10
tablets are randomly selected and the amount of drug in each tablet
is measured. The sample has a mean of 57.885mg and a variance of
0.0002mg. Does the data suggest at α=0.05 that the tablets vary by
less...

The dosage of a drug in a particular tablet needs to be precise.
It is essential that the tablets contain 59.21mg of the active
ingredient with a variance of 0.02. A random sample of 18 tablets
finds that the variance of the active ingredient is 0.0118. Does
the data suggests at α=0.025 that the variance of the drug in the
tablets is less than the desired amount? Assume the population is
normally distributed
. Step 1 of 5 : State...

The dosage of a drug in a particular tablet needs to be precise.
It is essential that the tablets contain 59.21mg of the active
ingredient with a variance of 0.022. A random sample of 18 tablets
finds that the variance of the active ingredient is 0.0118. Does
the data suggests at α=0.025 that the variance of the drug in the
tablets is less than the desired amount? Assume the population is
normally distributed.
1b. Determine the critical value(s) of the...

In order for a new drug to be sold on the market, the variance
of the active ingredient in each dose should be 0.01mg. A random
sample of 10 tablets with a dosage strength of 56.94mg is taken.
The variance of the active ingredient from this sample is found to
be 0.0072. Does the data suggests at α=0.01 that the variance of
the drug in the tablets is less than the desired amount? Assume the
population is normally distributed.
Step...

The dosage of a drug in a particular tablet needs to be precise.
It is essential that the tablets contain 57.63mg of the active
ingredient with a variance of 0.03. A random sample of 25 tablets
finds that the variance of the active ingredient is 0.0294. Does
the data suggests at α=0.05 that the variance of the drug in the
tablets is less than the desired amount? Assume the population is
normally distributed.
Steps: :
1.Determine the critical value(s) of the...

In order for a new drug to be sold on the market, the variance
of the active ingredient in each dose should be 0.01mg0.01mg. A
random sample of 2525 tablets with a dosage strength of
43.67mg43.67mg is taken. The variance of the active ingredient
from this sample is found to be 0.00030.0003. Does the data
suggests at α=0.01α=0.01 that the variance of the drug in the
tablets is less than the desired amount? Assume the population is
normally distributed.
Step...

In order for a new drug to be sold on the market, the variance
of the active ingredient in each dose should be 0.03mg. A random
sample of 25tablets with a dosage strength of 56.57mg is taken. The
variance of the active ingredient from this sample is found to be
0.01920.0192. Does the data suggests at α=0.005 that the variance
of the drug in the tablets is less than the desired amount? Assume
the population is normally distributed.
Step 3...

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