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X has recently opened a restaurant. She is interested in listing her restaurant with various online vendors, but anticipates that the listing will receive a better rating in terms of perceived healthiness based on a halo effect. That is, she feels that her rating will be biased simply because it will be associated with other restaurants that share the same categorisation as her.
Some people have described her restaurant as a café. Some have referred to her as a pizzeria, whilst others suggest its best to describe her restaurant as "Italian".
She worries that if people see her categorised as a pizzeria they will infer it as being less healthy relative to having a listing categorising her as "Italian" or as "Coffee/Café".
In turn, Christine is now interested in examining the evaluation of restaurants with respect to their perceived levels of healthiness and these three cuisine types.
You are told P(A)= 0.74, P(B)= 0.1 and P(A and B)= 0.074 and that the two events are independent. What is the probability of P(B|A)?
A store manager wishes to find out whether there is a relationship between the age of her employees and the number of sick days they take each year. The data for the sample are shown below:
For the following independent random samples, use the z-test and the 0.01 level of significance in testing Ho:u1 = u2 versus H1:u1 = u2.
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compute a 99 confidence interval for the population mean based on the sample 52 50 51 54 55 52 and
Construct a 90% confidence interval for the proportion of high school students who say that they text while driving at least sometimes.
Write the null and alternative hypotheses for each of the following examples. Determine if each is a case of a two-tailed, a left-tailed, or a right-tailed test
at time 0 a box contains one pen and one pencil. at each time n after a item is chosen at random from the box and put
What is the probability that none of the people are Independent and what is the probability that fewer than five people are independent?
Define the parameter of interest, giving appropriate notation and writing a sentence saying what it is.
Prove that the boundary of a simplex S is the set of all the points y in S whose barycentric coordinate representation has at least one zero coordinate.
Consider a newly arriving customer to the checkout line. What is the probablility that this customer will not have to wait behind anyone?
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