Clifford likes dogs. He wondered how much dog owners spend on their dogs in a year. He hypothesized that dog owners spend more than $1000 a year on their dogs, on average. He sampled 75 dog owners in a local community and found that these 75 dog owners spent an average $1075 on their dogs in a year. Suppose sigma Subscript xequals$175.Assume that these 75 dog owners are representative of all dog owners in terms of amount spent on their dogs in a year. "What is the variable of interest?"

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?