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An ice cream company claimed that it's product contained 500 calories per pint (on the average mew=500) To test this claim at 1% level of significance
The necessary steps in hypothesis testing are
: The purpose of a study by Parker et al. (A-4) was to examine the interactions of. In one
experiment, subjects took digoxin with water for 2 weeks, followed by a 2-week period during
which digoxin was withheld. During the next 2 weeks subjects took digoxin with grapefruit
juice. For 7 subjects, the average peak plasma digoxin concentration (Cmax) when taking water
is given in the first column of the following table. The second column contains the percent
change in Cmax concentration when taking digoxin with grapefruit juice.Cmax (ngl/ml) with Water Change in Cmax with GEJ (%)|2.5429.52.461.875.33.0923.345.1
-35.35.594.056.21-44.6 .i)Identify the dependent and independent variables with proper justification
Q1. A box contains 4 white balls, 3 red balls and 3 blue balls.A ball is selected at random and its colour is written down . It is replaced each time .Find the probability that if 6 balls are selected, 3 are white , 2 are red and 1 is blue.
Q2. Out of 4 students, level 100 ,a level 200 , a level 300 and a level 400. Two of them are to be chosen to perform a certain task . What is the probability that a level 200 student would be chosen if selection is done at random?
6. (a) Gideon rolls two (2) six-sided dice once. What is the probability that the sum of the
outcomes of both dice are odd or divisible by 5?
(b) Two (2) dice are rolled. What is the conditional probability that at least one lands on 6 given that the dice land on two different numbers?
Vaccination programme is running in every part of our country. There a lot of health problems are broadcasting in electronic media that vaccination is hazardous for the health. Undertake a study taking data from the male and female and study the impact of vaccine reaction on their health. There are two types of vaccine available in the market i.e., Covaxin and Covishield. It free to anyone to choose any one option for vaccination. Use the two way Anova with interaction and without interaction and answer the following research questions. To measure the health parameter, it is free to anyone to take any kind of health parameter for this study. For your convenience, you can use oxygen level of the patient.
a) Does Gender has effect on health difference
b) Do different kinds of vaccination have impact on health difference
c) Do Gender and vaccination types have impact on health difference. Is there any interaction effect between Gender and types of vaccine on health difference?
Conduct a study taking cricket players. Captain is interested to select the players on the basis of past 10 matches. Use one Way Anova, justify that there are performance difference among the players. Sample size should be 3 to 4 players.
What are the difference between estimating parameter values and hypothesis testing.
Given that p(x) =k÷x2 is a probability distribution for a random variable that can take on the values x = 0, 1, 2, 3, and 4.
a. Find k.
b. Find the expression for the cdf F(x) of the random variable.
B. (P-value Method). A teacher claims that more than 60% of the Grade 11 students preferred the use of the teacher-made video lessons as an alternative method in learning the Pre Calculus. In a survey of 200 students, 131 utilized the video lessons. Is there enough evidence to support the teacher's claim? Test the proportions at a-0.05.
How do you determine the appropriate rejection region and what is its significance in hypothesis testing?
