Assume that you have a sample of n 1 equals 4, with the sample mean Upper X overbar 1 equals 43, and a sample standard deviation of Upper S 1 equals 7, and you have an independent sample of n 2 equals 8 from another population with a sample mean of Upper X overbar 2 equals 32 and the sample standard deviation Upper S 2 equals 8. Assuming the population variances are equal, at the 0.01 level of significance, is there evidence that mu 1 greater than mu 2?

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?

A(1,1) b(-3,0) c(-4,-1) d(3,-2) drag it to correct position

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?