math-statistics help

A pharmaceutical manufacturer forms tablets by compressing a granular material that contains the active ingredient and var. fillers. The hardness of a sample from each lot of tablets produced is measured to control compression. The target values for the hardness are mean=11.5, standard dev=0.2. The hardness data for sample of 20 tablets:

11.627, 11.613, 11.493, 11.602, 11.630, 11.374, 11.592, 11.458, 11.552, 11.463, 11.383, 11.715, 11.485, 11.509, 11.429, 11.477, 11.570, 11.623, 11.472, 11.531

Is there signifcant evidence at the 5% level that the mean hardness of tablets is different from the target value?

------------------------------...
Okay, I actually solved most of the problem up to the part where you have to find the P-value. I have no idea how to do it....like how do you know when to multiply by 2P? Also, using Ti-83 calculator, how do you use normalcdf function to find out the percentage that you need to interpret the results to see whether it rejects the null hypothesis? What do you put into the normal cdf function to get that percentage? Please help asap thanks


If you are doing a one-sample t-test, then the value you found for the test statistic can be used to find your p-value. The p-value is the actual level of the test statistic. It represents the probability of getting a result as extreme as the test statistic itself. Also, if you are just looking for a significant difference at the 5% level, you can check a t-table for the cutoff points at both ends of the distribution (divide 5% in half for a two-tailed test). If your test statistic exceeds the positive or negative critical value (or cutoff point), then the null is rejected in favor of the alternate or alternative hypothesis. If your test statistic does not exceed the positive or negative critical value, then the null is not rejected.

Someone else may be able to help you with the calculator functions.

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    A manufacturer needs to make a cylindrical can that will hold 1.5 liters of liquid. Determine the dimensions of the can that will minimize the amount of material used in its construction.

  2. pharmacy tech

    2. How do you determine the number of grams of an active ingredient in a solution based on the percent strength?

  3. Chemistry

    Calculate the percentage by mass of the active ingredient in an antacid tablet that weighs 1.36 g if it contains 520 mg of calcium carbonate

  4. Chem 1212

    An antacid tablet containing calcium carbonate as an active ingredient required 9.19 mL of 0.0956 M H2SO4 for complete neutralization. The mass of the tablet was 0.193 g. What percent of calcium carbonate was in the tablet?

  1. Science

    Soil is the thin layer of material that covers Earth’s surface. How is soil related to bedrock?(1 point) Soil forms from the weathering of bedrock. Soil forms below the bedrock. Bedrock is one of four soil components. Bedrock

  2. Physics/ Chemistry please help

    The active ingredient in the allergy medication Claritin contains carbon (C), hydrogen (H), chlorine (Cl), nitrogen (N), and oxygen (O). Its molecular formula is C22H23ClN2O2. The standard adult dosage utilizes 1.480 1019

  3. math

    A pharmacist is to prepare 15 milliliters of special eye drops for a glaucoma patient. The eye-drop solution must have a 7% active ingredient, but the pharmacist only has 10% solution and 1% solution in stock. How much of each

  4. General Chemistry

    Eugenol is the active ingredient in the oil of cloves used to relieve toothache. Calculate the boiling point of a solution in which 0.17 grams of eugenol, (C10H12, O2) is dissolved in 10.0 grams of benzene. (Kb benzene= 2.53 0C/m;

  1. Math

    A pill weighs 70 mg. 7/9 of the pill is the active ingredient. How many milligrams are in the part of the pill that is not the active ingredient? So if 7/9 is active that means 2/9 is not active. I did 2 divided by 9 which gives

  2. chemistry

    an aspirin tablet contains 5.00X10^2 mg of active ingredient. how many grams of ap of active ingredient does it contain

  3. math, medical

    A medication is available in 30mg. tablets. A patient is given a prescription for gr. ii. How many tablets should the patient take? I am not sure how to work this problem out, and i am confused on the gr. ii. part, i do not know

  4. Chemistry

    The active ingredient of the antacid is CaCO3 and so Sally chose titration with HCl as a method for analysis. What is the mass (in g) of the CaCO3 in the sample of antacid, if it is titrated by 21.2 mL of HCl solution with

You can view more similar questions or ask a new question.