Consider the following hypotheses:

H₀: μ ≥ 208
H_A: μ < 208

A sample of 74 observations results in a sample mean of 202. The population standard deviation is known to be 26. (You may find it useful to reference the appropriate table: z table or t table)


a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
  

a-2. Find the p-value.
  

• p-value 0.10

• p-value < 0.01

• 0.01 p-value < 0.025
• 0.025 p-value < 0.05
• 0.05 p-value < 0.10

b. Does the above sample evidence enable us to reject the null hypothesis at α = 0.10?
  

• Yes since the p-value is less than the significance level.

• No since the p-value is greater than the significance level.

• No since the p-value is less than the significance level.

• Yes since the p-value is greater than the significance level.

c. Does the above sample evidence enable us to reject the null hypothesis at α = 0.01?
  

• No since the p-value is greater than the significance level.

• No since the p-value is less than the significance level.

• Yes since the p-value is greater than the significance level.

• Yes since the p-value is less than the significance level.

d. Interpret the results at α = 0.01.

• We cannot conclude that the population mean is less than 208.

• We conclude that the population mean is less than 208.

• We conclude that the population proportion differs from 208.

• We conclude that the population proportion equals 208.

From a box of fruit containing 74 oranges and 1 apple a random sample of 2 pieces of fruit has been selected without replacement. Let X be the number of oranges and Y be the number of apples in the sample. What will the expected value of X, E(X)?

A study finds that graduate students send a mean of 74 text messages per day with a standard deviation of 15.2 text message per day while undergraduate students send a mean of 116 text messages per day with a standard deviation of 26.51. Which group, the undergraduate students or the graduate students have more variation in the number of sent text messages?

Lenny is an elementary school principal. He's concerned about how the families at his school are doing currently, so he creates a list of questions to ask some of them to get an idea of how they're holding up.

Match each scenario below with the correct sampling technique.

The tires of a car make 74 revolutions as the car reduces its speed uniformly from 87.0 km/h to 65.0 km/h. The tires have a diameter of 0.82 m.

What was the angular acceleration of the tires?

If the car continues to decelerate at this rate, how much more time is required for it to stop?

If the car continues to decelerate at this rate, how far does it go? Find the total distance.

2. The blood groups of 200 people is distributed as follows: 74 type A, 26 type B, 88 type O, and 12 type AB. With this information, answer the following four (3) questions.

Please leave answers to four (4) decimal places!

a. What is the probability of randomly selecting a person has O blood type or AB blood type out of the blood group? (1 point)

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b. What is the probability of selecting out two consecutive people have B blood type in a row (with replacement)?                                                                                                                                                 (1 point)         

c. What is the probability of selecting out a person has A blood type and afterwards selecting out another person has B blood type out of the blood group (without replacement)?                                                                                                               (1 point)

A 74-year-old man was admitted to a nursing home for the first time following hospitalization for an exacerbation from heart failure, which is being controlled with Lasix 120 mg a day at this time. While the patient was in the hospital, he fell on the way to the bathroom and sustained a fractured hip, which required an ORIF. He had spinal anesthesia for the fractured hip.

He lives alone at home and has three grown children who live in the same town. He would like to return home. He has been widowed for 9 months. He had been married for 50 years and worked outside the home as a banker. His wife prepared all his meals for him.

During hospitalization, his dietary intake was 10 to 20% of the food provided. He did not receive any food from family or friends to offset his hospital meals. Since admission to the nursing home two days ago, he has eaten only 10% of his diet, which was a low-NA diet, mechanical soft (due to improperly fitting dentures). He was a 20-year smoker, one pack a day. He reports minimum alcohol intake.

He states that since his wife died, he has been leading a sedentary lifestyle, not going out very often. He reports no “real exercise” activities.

The Medications Discharge from Hospital:

• Digoxin 0.125 mg oral every morning
• Lasix 40 mg tid
• Nu-Iron 150 mg oral daily
• Hydrocodone and acetaminophen tablets, 5 mg/500 mg for pain

Answer these questions:

1. What additional subjective information will you be asking for?
2. What objective findings will you be looking for?
3. What laboratory tests do you think you want to order and why?
4. What factors are affecting this patient’s current nutritional and hydration status?
5. What recommendations would you make to alter his nutritional status?

21) Assuming the AD excess = $1770B and MPC = .74, complete the questions below. Please round to at least 2 decimal places. (Please answer in typed format, not hand written, due to trouble in interpretation of handwriting.)

a. (10 pts) Given the situation in a, if government spending decreases by $460B, calculate the impact to aggregate demand. Illustrate this scenario on the appropriate graph. QF and the shift that occurs must be included on the graph. Is there a GDP gap? If so, what type?

b. (10 pts) Given the situation in a, calculate what would happen if the government increases taxes by $460B. Illustrate this scenario on a separate graph. QF and the shift that occurs must be included on the graph. Is there a GDP gap? If so, what type?

c. (5 pts) Which type of government intervention (from scenarios A & B ABOVE) gets us closer to full employment output?

A survey asked people for their height in inches. Their responses were: 60, 74, 66, 70, 58, 63, 67, 71, 76, 65, 75, 72, 68, 65, 64, 68, 70, 72, 71, 64, 59, 77, 66, 65

a. Calculate the measures of central tendency

b. Give the five number summary of this data.

c. What is the range?

d. What is the standard deviation rounded to the nearest whole number?

A new project is expected to generate annual sales of $74 million, annual expenses of $42 million, and an annual depreciation expense of $10 million. The firm's tax rate is 35%. Calculate the OCF (Operating Cash flow) for the year by using any of the three methods discussed in the chapter 9