A boutique fitness studio would like to test whether their program is affective at weight loss. They randomly select 7 female participants to adhere to their diet and exercise regimen for 12 weeks. A before and after weight in pounds was recorded for each participant. Consider all conditions to be met. Use a significance level of 0.10 and assume the population of differences is normal. Use the following to answer the questions below.

State: Does the program promote weight-loss? In other words, is the difference between before and after greater than zero?

Plan:

a. State the null and alternative hypotheses to answer the question of interest.

      b. What type of test is appropriate to answer the question of interest and why?

c. State the significance level.

Solve:

      d. (4 points) Calculate the test statistic. State the degrees of freedom and p-value.

      e. Calculate and interpret a 90% confidence interval for the average difference of weight in lbs.

Conclude:

f. Interpret the results from the hypothesis test and confidence interval in the context of the problem. Use the four part conclusion.

A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of mercury) for nine patients before taking the new drug and 2 hours after taking the drug are shown in the table below. Is there enough evidence to support the company's claim?

Let d=(blood pressure before taking new drug)−(blood pressure after taking new drug). Use a significance level of α=0.01 for the test. Assume that the systolic blood pressure levels are normally distributed for the population of patients both before and after taking the new drug.

Step 1 of 5: State the null and alternative hypotheses for the test.

Ho: μd (=,≠,<,>,≤,≥) 0

Ha: μd (=,≠,<,>,≤,≥) 0

Step 2 of 5: Find the value of the standard deviation of the paired differences. Round your answer to two decimal places.

Step 3 of 5: Compute the value of the test statistic. Round your answer to three decimal places.

Step 4 of 5: Determine the decision rule for rejecting the null hypothesis H0. Round the numerical portion of your answer to three decimal places.

Reject Ho if (t, I t I) (<,>) _____

Step 5 of 5: Make the decision for the hypothesis test.

Reject Null Hypothesis

Fail to Reject Null Hypothesis

An engineer wants to determine the effectiveness of a safety program. He collects annual loss of hours due to accidents in 12 plants before and after the program was put into operation. Plant Before After Plant Before After 1 114 89 7 92 88 2 106 97 8 100 64 3 108 102 9 81 68 4 86 99 10 71 52 5 70 57 11 77 58 6 88 85 12 108 108 Click here for the Excel Data File Let the difference be defined as Before – After. a. Specify the competing hypotheses that determine whether the safety program was effective. H0: μD = 0; HA: μD ≠ 0 H0: μD ≤ 0; HA: μD > 0 H0: μD ≥ 0; HA: μD < 0 b-1. Calculate the value of the test statistic. Assume that the hours difference is normally distributed. (Round intermediate calculations to at least 4 decimal places and final to 2 decimal places.) b-2. Find the p-value. p-value < 0.01 p-value 0.10 0.05 p-value < 0.10 0.025 p-value < 0.05 0.01 p-value < 0.025 c. At the 5% significance level, is there sufficient evidence to conclude that the safety program was effective? Yes, since we reject H0. No, since we do not reject H0. Yes, since we do not reject H0. No, since we reject H0. rev: 09_19_2019_QC_CS-181378

If we increase our food intake, we generally gain weight. Nutrition scientists can calculate the amount of weight gain that would be associated with a given increase in calories. In one study, sixteen non-obese adults, aged 25 to 36 years, were fed 1,000 calories per day in excess of the calories needed to maintain a stable body weight. The subjects maintained this diet for 8 weeks, so they consumed a total of 56,000 extra calories. According to theory, 3,500 extra calories will translate into a weight gain of one pound. Therefore, we expect each of these subjects to gain 56,000/3,500 = 16 pounds. Here are the weights before and after the 8-week period, expressed in kg.

a) For each subject, find the weight gain (or loss) by subtracting the weight before from the weight after.

b) Convert the “16 pounds” expectation to kg by dividing by the conversion factor of 2.2. Now state the null and alternative hypotheses for this matched pairs test.

c) Conduct the test and state your conclusions. Include a ?-value in your summary

4) A piano tuner hits a key on a piano and strikes a 320 Hz tuning fork. a) The tuner hears a beat frequency of 5 Hz. What could the piano frequency be? Explain. b) The tuner then tightens the piano string which increases its frequency. When he does, the beat frequency increases. What is the original piano frequency? Explain. 5) In a 0.5 m tube, a standing sound wave is created at 857.5 Hz. The speed of sound is 343 m/s. a) Draw a picture of the wave in the tube. b) Which harmonic is the sound? c) Are the ends of the tube open or closed? A) Both ends are open B) Both ends are closed C) 1 end is open, the other is closed d) What is the fundamental frequency of the tube?

For questions below consider the following specific factors model. Vietnam and Thailand produce beans and trucks. Labor is the mobile factor (i.e. labor is used in the production of both goods). The specific factor for beans is land, and the specific factor for trucks is capital. Under the closed-economy equilibrium the relative price of beans with respect to trucks is lower in Thailand than in Vietnam (i.e. under closed economy PbeansThailand/PtrucksThailand < PbeansVietnam/PtrucksVietnam).

For questions (10)~(11) below, assume that as Vietnam goes from closed economy to free trade, the price of trucks remains unchanged, and the price of beans decreases by 10%.

(10). The nominal wage decreases by more than 10% in Vietnam. True or False?

(11). The rental rate of capital increases in Vietnam. True or False?

In the Skilling v. United States 130 S. Ct. 2896 (2010), what did the court hold regarding "honest services"?

Detail the 6-10point to answer?
What are the key factors that have influenced the movement of the ringgit against the US dollar since 2010?