The filling variance for boxes of cereal is designed to be .02 or less. a sample of 41 boxes of cereal shows a sample standard deviation of .16 ounces. use = .05 to determine whether the variance in the cereal box fillings is exceeding the design specification. state the null and alternative hypotheses. 0: 2 a: 2 calculate the value of the test statistic (to 2 decimals). the p-value is what is your conclusion?

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?

Benjamin is making bow ties. how many 1/2yards lomg bow ties can he make if he has 18 feet of fabric?

Which expression and diagram represent “renee biked four times as far this month as last month”?