The average age of residents in a large residential retirement community is 69 years with standard deviation 5.8 years. A simple random sample of 100 residents is to be selected. The sample mean age of the 100 residents

An airline company claims that 2 out of 10 flights departing from a certain airport are delayed. Suppose you work for the company as a statistical consultant and want to see whether the true proportion of delayed flights is different from what they claim. You randomly selected 120 flights and recorded their flight status. Out of 120 sampled flights, 18 flights were delayed. The p-value of the test is

Different houses for sale have the following variables in the description. Which variable is nominal?

Please note that this question consists of seven parts. You need to show all mathematical calculations/explanations to get the final answer. Just giving the answer without showing work may result in zero for the question.  A study was made to determine whether the snack choices for males and females are independent. The table below gives the results from one such study. For the following questions, you may assume

During Pete’s annual visit to Malibu Beach the second week in June for a water show where he showcased his newest surfing techniques, he noticed a skilled surfer riding the waves. Pete approached him and introduced himself to Dale, who responded that he had read the Surfer magazine’s online profile of him last month in their article discussing the top 100 excellent surfers in the U.S.  Pete told Dale he organized an annual surfing competition in Jupiter Inlet, Florida, and that he would consider Dale as one of the contestants for this surfing competition.  In order to qualify as a contestant in the surfing competition, Pete explained that the surfer had to have participated in at least one surfing competition.  Dale replied that he had already competed in a few competitions and had earned several awards as a surfer, and that he had been recently invited to submit his name for the 2028 Summer Olympics in Los Angeles.  Pete said he’d watch him surf over the next few days and touch base later.  Dale got up early each of the next four days and practiced his surfing, not sure where Pete was watching from the beach. He barely ate or slept during those next four days working hard to perfect his surfing techniques.  He was excited to be invited to a surfing contest since he had just started surfing and seemed to have a natural gift for it, even though he had not won any awards or even been invited to participate in the upcoming Summer Olympics. On the afternoon of the fourth day at Malibu Beach, Pete approached Dale and invited him to lunch.  Pete ordered champagne to celebrate a successful end to a couple days of surfing.  Pete waved off the waiter who pointed out that Dale driver’s license showed he was only 17, not the legal drinking age of 18.  “This man deserves a glass of champagne; you should have seen him out on the waves!”   Then Pete handed blurry-eyed Dale a pen and flipped to the last page of the agreement and told Dale that signing the agreement was a prerequisite to participating in the surfing competition.  The agreement contained an arbitration clause (in a small 8-point font)  stating that only Pete could recover attorney fees if the parties had to go to arbitration.  The contract also provided that the $1,300 participation fee was due a week before the surfing competition, and Jupiter Inlet would be the only place where the surfing competition would take place.  The competition would also not be rescheduled from the firm date of August 16th.  Dale still felt uncertain about signing a contract to participate in the surfing contest, and he felt nauseous from the lack of food and sleep over the last four days.  He also hesitated because of the $1,300 participation fee because money was an issue for Dale since he only worked part-time over the summer as a lifeguard.  When Dale told him he felt sick, Pete insisted it was a great networking opportunity and there would even be a cash prize of $5,000 for the winner.  He also told him that if he paid the $500 deposit, he would save $200 because the rates for the deposit were set to go up in two weeks.  “You have to understand, there are surfers around the country that come to this event, and we don’t have the space to accept everyone, so if you are serious about this, you better sign this contract and give me the $500 deposit today.  This is a chance of a lifetime!”  Dale complied and signed the contract and paid Pete $500 before he excused himself to go to the bathroom and threw up. Pete sent Dale an email a week before the competition and told him he’d hear from his attorney since he never paid the $1,300 and his check for $500 bounced.  On August 16th, Jupiter Inlet Beach was closed due to a tropical storm causing 70 mph winds and damage to buildings on the beach. Discuss the possible claims Pete has against Dale.  Discuss Dale’s defenses. 

The constitution’s text contains explicit indicia of Christian influence.

Henry and Whitney married in 2021 in California. Five days before their wedding, Henry gave Whitney an agreement that stated “any income earned by either spouse during marriage would remain their separate property,” the agreement further included that each party waive any rights  to spousal support in the event of divorce. Henry told her that if she didn’t sign it the wedding was “off.” Whitney didn’t want to sign the agreement but was worried about the embarrassment of telling her friends and family that they weren’t getting married. Whitney signed the agreement that day. Henry wrote the agreement himself, neither party had representation. In 2022, Henry won $1.2 million in the state lottery using a ticket he bought with his “personal allowance” money, which came from his earnings.  He opened a new savings account solely in his name and deposited the lottery winnings. Using a portion of these funds, he bought a house in Washington, taking the title solely in his name. Later in 2022, Henry purchased a rare vintage diamond necklace for $40,000 using funds from the savings account. He gave it to Whitney on their anniversary, saying, “This is for you—something special to wear.” Whitney thanked him and wore the necklace regularly. In 2023, Henry gave Whitney a will he had prepared. Included in the will was a statement that the vintage diamond necklace was Henry’s separate property and no longer community property. Wendy signed the will without reading it. In December 2024, Henry sold the Washington house to his brother James without Whitney’s knowledge. In February 2025, Whitney found out about the sale of the house. She immediately filed for divorce. At the time of the divorce, Henry’s savings account, which contained only his lottery winnings, had a remaining balance of $500,000. No other funds had been deposited into the account. What are Henry and Whitney’s respective rights and liabilities regarding: Henry’s savings account? Washington house? The Vintage Diamond? Answer according to California law.

Assessed through Christian principles, the War for Independence comprised a just and legally defensible cause.

Madison believed that the best solution for controlling factions focused on the sources/causes of them.

The Constitution’s primary means for achieving its goal of controlling and distributing power centered on structural considerations.