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Q1) You have been hired by consumer research agency to do a study of consumer response to two different shampoos. One of shampoos is designed to provide "squeaky clean" hair and other is designed to provide "super volume". You distribute 1000 sample bottles of each type of shampoo to test market of men and women who have agreed to try shampoos and point out a preference. After 2 weeks you survey test market with following results:
Squeaky Clean
Super Volume
Male
253
275
Female
187
265
Use Test of Independence to test hypothesis at.05 level of significance that gender makes a difference in choice of the shampoos.
i) Mention the null and alternative hypotheses being tested
ii) Give the calculated value of the test statistic
iii) Mention the critical value of test statistic (Or give the p-value of the test.)
iv) Mention and explain the decision.
You play a game with two possible outcomes. Outcome A has probability 0.4 and outcome B has probability 0.6. When B occurs you win $2.00; otherwise, you lose $1.00. What is your expected value for this game?
The one-sample t statistic has the value t = -1.68. What do we know about the P -value of this test?
If all samples of size 64 are drawn, mean of sample according to Central Limit Theorem is 100.
Find the probability that in a given month:
Find out the forecast value utilizing three month moving average method, weighted moving average method, exponential smoothing and regression methods.
The Type 1 error states the probability of being wrong whenever:
A school tracks the absences of pupils as part of a flu surveillance system. Regular reporting of absences among 25 students in grade 1 are taken, and based on these data, the long-run proportion of absences under normal conditions is estimated to..
Illustrate is the range of values for a coefficient of correlation. Illustrate degree of relationship do values of the correlation coefficient (r)with magnitudes close to 1.00 indicate.
Use the study to estimate the risk of an air bag fatality on a child seated on the front passenger seat.
Use Bayes's rule to find the conditional probability that Julianne is a carrier, given that she and Jason have one child who does not have cystic fibrosis.
An experiment was carried out to assess the effects of four tomato varieties and four planting densities on yield. There were 64 plots, and each of the 16 factor combinations was randomly assigned to 4 plots.
About what percent of the observations lie between 55 and 65?
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