Hypothesis testing for single mean and confidence interval

Assignment Help Basic Statistics

Reference no: EM1313465

Vitamin B6 is one of the vitamins in a multiple-vitamin pill manufactures by a pharmaceutical company. The pills are produced with a mean of 50 milligrams of vitamin B6 per pill. The company believes that there is a deterioration of 1 milligrams per month, so after 3 months they expect that µ = 47. A consumer group suspects that the mean is actually much less, and decide to conduct a test.

Based on a random sample of size 24 from a normal distribution, the data gives X(bar) = 45.6615 and s2 = 26.7855.

a. Construct a 99% confident interval for the standard deviation of the amount of vitamin B6 per pill.

b. Test µ = 47 versus µ < 47 at the 1% significance level. Clearly state the conclusion.

Reference no: EM1313465

Questions Cloud

Creating raw score predictions on criterion variable : Create raw score predictions on criterion variable for persons with Z scores on predictor value of -2,-1,0,+1,+2.

What are his weight and mass on earth : As part of a safety investigation, two 1200 {rm kg} cars traveling at 24 {rm m/s} are crashed into different barriers. Find the average forces exerted on (a) car that hits a line of water barrels and takes 1.80 {rm s} to stop, and (b) car that hits a..

Net income for financial statement : Evaluation of owners equity and net income for financial statement - Show the effect of this entry on current-year net income and the balance in the owners' equity account at year-end

Actual rate of unemployment relative to the natural rate : Contraction GAP, Illustrate what does a Contraction Gap imply about the actual rate of unemployment relative to the natural rate.

Hypothesis testing for single mean and confidence interval : Construct a 99% confident interval for the standard deviation of the amount of vitamin B6 per pill.

What is the magnitude of the force on the wheaties box : A 5.20 g pop up toy is compressed 1.50 cm and pops up to the height of 50 cm the spring constant is 270 Nm. What is the loss of energy.

Finding evidence using six-step critical value approach : Using six-step critical value approach, at the 0.05 level of significance, is there evidence that population mean delivery time has been increased below previous population mean value of 25 minutes?

Computation percent of the quota of sales : Computation percent of the quota of sales and raking on profitability and Import the Sale Rep List.csv into a worksheet

Initial allocation of cheese also bread is pareto efficient : Draw the Edge worth Box diagram for this economy also Explicate whether the initial allocation of cheese also bread is Pareto efficient.

User Account

All Pages