Noodles & Company wants to estimate the percent of customers who order dessert, with 95% confidence and an error of 10%. What is the required sample size? (Round up answer to the next whole number.

Sample size __________

A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were

3.0873.1313.2413.2703.3533.4003.4113.4373.477

(a) Construct a 90% confidence interval for the true mean weight. (Round answers to 4 decimal places.)

The 90% confidence interval is from ______ to _______

(b) What sample size would be necessary to estimate the true weight with an error of 0.03 gram with 90% confidence? (Enter answer as a whole number (no decimals). Use a z-value taken to 3 decimal places in calculations.)

The correct size for a sample with 90% confidence is _______.

Tired of careless spelling and grammar, a company decides to administer a test to all job applicants. The test consists of 20 sentences Applicants must state whether each sentence contains any grammar or spelling errors. Half the sentences contain errors. The company requires a score of 14 or more.

(a)If an applicant guesses randomly, what is the probability of passing? (Round answer to 4 decimal places.)

Probability ____________

(b)What minimum score would be required to reduce the probability of "passing by guessing" to 5 percent or less?

Minimum score __________

Twenty-five blood samples were selected by taking every seventh blood sample from racks holding 187 blood samples from the morning draw at a medical center. The white blood count (WBC) was measured using a Coulter Counter Model S. The mean WBC was 8.636 with a standard deviation of 3.9265.

(a)Construct a 90% confidence interval for the true mean using the FPCF. (Round answer to 4 decimal places.)

The 90% confidence interval is from ______ to ________

(b)What sample size would be needed for an error of 1.5 with 90% confidence? (Enter answer as a whole number (no decimals). Use a z-value taken to 3 decimal places in calculations.)

Sample size ____________

The probability that an international flight leaving the United States is delayed in departing (event D) is .25. The probability that an international flight leaving the United States is a transpacific flight (event P) is .57. The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is .12.

(a)What is the probability that an international flight leaving the United States is delayed in departing given that the flight is a transpacific flight? (Round answer to 4 decimal places.)

Probability __________

(b)In this problem, are D and P independent? Yes or No

Biting an unpopped kernel or popcorn hurts! As an experiment, a self-confessed connoisseur of cheap popcorn carefully counted 773 kernels and put them in a popper. After popping, kernels were counted. There were 86.

(a)Construct a 90% confidence interval for the proportion of all kernels that would not pop. (Round intermediate calculations to 4 decimal places. Round answers to 4 decimal places.)

The 90% confidence interval is from __________ to __________

(b)Is the normality assumption valid? Yes or No

Leaks occur in a pipeline at a mean rate of 1 leak per 1,000 meters. In a 2,500-meter section of pipe,

(a)Using the Poisson approximation to the binormal, what is the probability of no leaks? (Round answer to 4 decimal places.)

Probability __________

(b)Using the Poisson approximation to the binomial, what is the probability of three or more leaks? (Round answer to 4 decimal places.)

Probability __________

( c) What is the expected number of leaks? (Round answer to 1 decimal place.)

Expected number of leaks __________

Currently Samsung ships 21.4 percent of the organic light-emitting diode (OLED) displays in the world. Let S be the event that a randomly selected OLED display was made by Samsung.

(a)Find P(S). (Round answer to 3 decimal places.)

P(S)__________

(b)Find P(S). (Round answer to 3 decimal places.)

P(S) ____________

(c)Find odds in favor of event S. (Round answer to 3 decimal places.)

Odds in favor of event S __________

(d)Find odds against event S. (Round answer to 2 decimal places.)

Odds against event S ___________

Shower temperature at the Oxnard Health Club showers is regulated automatically. The heater kicks in when the temperature falls to 93F and shuts off when the temperature reaches 105F. Water temperature then falls slowly until the heater kicks in again. At a given moment, the water temperature is a uniformly distributed random variable U(93,105).

(a)Find the mean temperature. (Round answer to 1 decimal place.)

Mean __________ degrees

(b)Find the standard deviation of the temperature. (Round answer to 4 decimal places.)

Standard deviation _______ degrees

(c)Find the 75^th percentile for water temperature. (Round answer to 2 decimal places.)

75^th percentile _______ degrees