The average amount of money spent for lunch per person in the college cafeteria is $6.22 and the standard deviation is $2.55. Suppose that 42 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of x? - NO c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $5.94 and $6.16. d. For the group of 42 patrons, find the probability that the average lunch cost is between $5.94 and $6.16. e. For part d), is the assumption that the distribution is normal necessary? O No Yes

Solve the problem.Assume that mountain lions' weights are normally distributed with a mean of 62.6 kilograms and a standard deviation of 2.6 kilograms. If 70 mountain lions are randomly selected, find the probability that they have a mean weight between 61.9 kilograms and 62.8 pounds.

The average American man consumes 9.9 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.9 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible. a. What is the distribution of X? X - N b. Find the probability that this American man consumes between 10.4 and 11.1 grams of sodium per day. c. The middle 30% of American men consume between what two weights of sodium? Low: High: Hint: Helpful videos: • Find a Probability [+] Finding a Value Given a Probability [+] Hint Question Help: Message instructor Submit Question logi *2 *3 F5 %23 3. W R T. Y U *CO లే N

Internet Service Providers The amount that households pay service providers for access to the Internet varies quite a bit, but the mean monthly fee is $50 and the standard deviation is $20. The distribution is not Normal: many households pay a low rate as part of a bundle with phone or television service, but some pay much more for Internet only or for faster connections. A sample survey asks an SRS of 50 households with Internet access how much they pay. Let x be the mean amount paid. 1. Explain why you can't determine the probability that the amount a randomly selected household pays for access to the Internet exceeds $55. 2. What are the mean and standard deviation of the sampling distribution of x ? 3. What is the shape of the sampling distribution of x ? Justify your answer. 4. Find the probability that the average fee paid by the sample of households exceeds $55.