Researchers gave 40 index cards to a waitress at an Italian restaurant in New Jersey. Before delivering the bill to each customer, the waitress randomly selected a card and wrote on the bill the same message that was printed on the index card. Twenty of the cards had the message "The weather is supposed to be really good tomorrow. I hope you enjoy the day!" Another 20 cards contained the message "The weather is supposed to be not so good tomorrow. I hope you enjoy the day anyway!"

After the customers left, the waitress recorded the amount of the tip, percent of bill, before taxes. Given are the tips for those receiving the good‑weather message.

Given are the tips for the 20 customers who received the bad‑weather message.

Stemplots for both data sets are shown.

Neither stemplot suggests a strong skew or the presence of strong outliers. Because of this, t procedures are reasonable here.

Is there good evidence that the two different messages produce different percent tips?

Let μ1 be the mean tip percent when the forecast is good, and let μ2 be the mean tip percent when the forecast is bad. Select the correct hypotheses statements that we want to test.

H0:μ1=μ2 versus Ha:μ1>μ2

H0:μ1=μ2 versus Ha:μ1≠μ2

H0:μ1=μ2 versus Ha:μ1<μ2

H0:μ1≠μ2 versus Ha:μ1<μ2

What degrees of freedom (df) would you use in the conservative two‑sample t procedures to compare the percentage of tips when the forecast is good and bad? (Enter your answer as a whole number.)

df=

What is the two‑sample t test statistic (rounded to three decimal places)?

t=

Test whether there is good evidence that the two different messages produce different percent tips at α=0.1 . The null hypothesis of no difference in tips due to the weather "forecast" is

not rejected.

rejected.

What two types of services do internal auditors provide? Provide three examples of each type of engagement.

What steps are included in the planning phase of an assurance engagement?

What is the relationship between business objectives and business assertions?

What does "inherent risk" mean?

What elements do well-written observations include?

What is the difference between "negative assurance" and "positive assurance?"

What information must final assurance engagement communications include?

Suppose you are investigating whether there is a difference in taste between organic milk and regular milk. You recruit 16 random volunteers and ask each one individually after tasting to tell you which of two unmarked glasses contains the organic milk. Let X be the number of correct guesses. If there really were no difference in taste between organic milk and regular milk, what would be the probability of exactly six correct guesses, to three decimal points?

Two psychologists are studying the IQs of a group of business professionals.

• Let A be the event that a professional's IQ is greater than 115, with P(A)=16%.
• Let B be the event that a professional's IQ is between 115 and 130, with P(B)=14%.

The IQs of different professionals are independent events. What is the probability that two random professionals will be chosen and one of their IQs is greater than 115 and the other is between 115 and 130?

Give your answer as a decimal, rounded to three decimal places.

A survey reported that the mean starting salary for college graduates after a three-year program was $35,710.Assume that the distribution of starting salaries follows the normal distribution with a standard deviation of $3320. What percentage of the graduates have starting salaries: (Round z-score computation to 2 decimal places and the final answers to 4 decimal places.) a. Between $31,800 and $39,200? Probability b. More than $43,600? Probability c. Between $39,200 and $43,600? Probability

A hunter is standing on flat ground between two vertical cliffs that are directly opposite one another. He is closer to one cliff than the other. He fires a gun and, after a while, hears three echoes. The second echo arrives 1.04 s after the first, and the third echo arrives 0.630 s after the second. Assuming that the speed of sound is 343 m/s and that there are no reflections of sound from the ground, find the distance (in m) between the cliffs.

A video game developer is testing a new game on three different groups. Each group represents a different target market for the game. The developer collects scores from a random sample from each group. The results are shown below

That is the mean sum of squares Between  MS_(Between)?

A hunter is standing on flat ground between two vertical cliffs that are directly opposite one another. He is closer to one cliff than the other. He fires a gun and, after a while, hears three echoes. The second echo arrives 1.27 s after the first, and the third echo arrives 0.642 s after the second. Assuming that the speed of sound is 343 m/s and that there are no reflections of sound from the ground, find the distance (in m) between the cliffs.

Imagine you are a first year graduate student at an institution in the US. You have decided to hold a "friendsgiving" feast the weekend before Thanksgiving, including some of your classmates and friends from other departments. One of your guests, who is studying physics, asks you what the biological differences between "dark" meat and "white" meat are. Identify three differences between dark and white meat, and explain the biological significance or implication of each in 1 sentence.

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when it comes to the success of an organization or firm its extremely important to be able to predict the product demand of the current market. This calculation, if determined correct, will help to grow the firm’s business, grow their experience, also it will help them set a price for their product, so they are competitive. The firm uses this calculation to determine if the ability of their production efforts will meet the markets demand. If their calculation is positive, the firm can produce a large amount of a product which will make them successful, if they are unable to produce a product to meet the market’s demand then this will hurt their chances of receiving a large enough profit. When it comes to this calculation or demand forecasting, this process of predicting the future sales of a product is derived from data collected over the years to help the decisionmakers make the best and informed decision about the inventory, planning, and warehousing needs to promote the item to the market and towards the customer demands (Lopienski, 2019). An example of a successful demand forecasting that took place was, when a successful vehicle producing company researched and investigated their current sales of a specific vehicle. They also looking at past data of that specific vehicle and the style, model, trim, engine type, and color. After looking at the data presented by the research department the vehicle production company was able to predict the expected growth of the vehicle, along with predictions of the short-term demand of the product over the next twelve months (Oti-Yeboah, 2018). The firm used in the example was able to successfully sell their vehicle to the demanding market and then profit from the research and investigation work that took place. When it comes to estimating the product demand there are a few different factors that contribute. Passive demand forecasting is normally conducted by a business that has a good business structure and conservative growth plans. An active demand forecasting can be conducted with the purpose of diversifying the firm with an aggressive plan to grow the firm quickly in the market. Also, short-term demand forecasting can be conducted within a three to twelve-month period, here the firm will look at the data presented during all four seasons to accurately adjust for the market. The vehicle corporation was able to utilize passive, active, and short-term demand forecasting to predict the markets outcome and contribute a product in which all consumers will gravitate towards (Oti-Yeboah, 2018).