The following are daily exchange rates with the Japanese Yen quoted in Yen/Dollar.

Plot the Yen/Dollar exchange rate. Use Megastat to do an exponential smoothing using Alpha = .05, .1, .2, .5. Make a different line chart for each. Which process represents the data best. Is this process appropriate for this type of data.

Please show all work and upload your worksheet

1. Why would a researcher need to use a two-tailed test vs. a one-tailed test?

2.A scholar tests the following hypothesis:  Females have a greater number of delinquent peers than males.  In her test, she calculates a t value is -2.349.  Why would it be unnecessary to compare this test statistic to a critical t value?

Detail one instance in which regression analysis can be used in a business application. Explain what insights can be gained, limitations that must be considered, and outline one case example used in real life.

Consider a joint PMF for the results of a study that compared the number of micro-strokes a patient suffered in a year (F) and an index (S) that characterizes the stress the person is exposed to. This PMF represents the probability of a randomly picked person from the studied population having F=f micro-strokes and S=s stress index.

a) The conditional PMF for the number of strokes F given stress index S=3.


b) The expected number of strokes and the variance of this magnitude for patients with S=3?


c) The conditional PMF for strokes and stress index given event A={(S,F) /s<3 and f<2}


d) There were 3000 patients in the study. How many you expect to find that have F and S in A (same A as above)?


e) What is the average stress index in this population? (hint: the marginal probability function above may be helpful)

The following table shows ceremonial ranking and type of pottery sherd for a random sample of 434 sherds at an archaeological location.

Use a chi-square test to determine if ceremonial ranking and pottery type are independent at the 0.05 level of significance.

(a) What is the level of significance?


State the null and alternate hypotheses.

H₀: Ceremonial ranking and pottery type are independent. H₁: Ceremonial ranking and pottery type are not independent.

H₀: Ceremonial ranking and pottery type are not independent.H₁: Ceremonial ranking and pottery type are independent.    

H₀: Ceremonial ranking and pottery type are not independent.H₁: Ceremonial ranking and pottery type are not independent.

H₀: Ceremonial ranking and pottery type are independent.H₁: Ceremonial ranking and pottery type are independent.

(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)


Are all the expected frequencies greater than 5?

Yes

No    

What sampling distribution will you use?

Student's t

chi-square    

uniform

binomial

normal

What are the degrees of freedom?


(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)

p-value > 0.100

0.050 < p-value < 0.100   

0.025 < p-value < 0.050

0.010 < p-value < 0.025

0.005 < p-value < 0.010

p-value < 0.005

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?

Since the P-value > α, we fail to reject the null hypothesis.

Since the P-value > α, we reject the null hypothesis.    

Since the P-value ≤ α, we reject the null hypothesis.

Since the P-value ≤ α, we fail to reject the null hypothesis.

(e) Interpret your conclusion in the context of the application.

At the 5% level of significance, there is sufficient evidence to conclude that ceremonial ranking and pottery type are not independent.

At the 5% level of significance, there is insufficient evidence to conclude that ceremonial ranking and pottery type are not independent.    

you wish to test the following claim ( H a ) at a significance level of α = 0.10 .

H o : μ = 68.9 H a : μ ≠ 68.9

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 16 with mean M = 56.1 and a standard deviation of S D = 12.8 .

What is the p-value for this sample? (Report answer accurate to four decimal places.)

p-value =

The p-value is...

*less than (or equal to) α or greater than α

This p-value leads to a decision to...

reject the null or accept the null or fail to reject the null

As such, the final conclusion is that...

a) There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 68.9.

b) There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 68.9.

c) The sample data support the claim that the population mean is not equal to 68.9.

d) There is not sufficient sample evidence to support the claim that the population mean is not equal to 68.9.

1) For 31 randomly selected Rolling Stones concerts, the mean gross earnings is 2.61 million dollars. Assuming a population standard deviation gross earnings of 0.5 million dollars, obtain a 99% confidence interval (assume C-Level=0.99) for the mean gross earnings of all Rolling Stones concerts (in millions). Confidence interval: ___,___

2) correct interpretation for part 1 answers?

a. 99% chance that the mean gross earnings of all rolling stones concerts lies in the interval

b. 99% confident that the mean gross earning for this sample of 31 rolling stones concerts lies in the interval

c. 99% confident that the mean gross earning of all rolling stones concerts lies in the interval

d. none of the above

A simple random sample of size

n equals 16

is drawn from a population that is normally distributed. The sample variance is found to be

13.7

Test whether the population variance is greater than

10

at the

alpha equals 0.05

level of significance.

I only need to find the test statistic and the p-value. Would you go through it step by step please.

Given the data below, a lower specification of 62.6, and an upper specification of 101.8, what is the long term process performance (ppk)?

Data
66.06284
82.57716
78.64111
92.72893
76.18137
71.46201
76.24239
74.83622
69.87486
77.90479
82.39439
79.18856
84.34492
77.32829
80.50536
83.36017
97.34745
84.56226
87.95131
65.64412
70.73183
74.28879
89.07007
78.50745
77.51397
89.04946
73.75787
91.30598
87.12589
89.29855
81.398
86.52962
84.33249
80.48321
81.87089
83.54964
71.19464
80.02001
90.00112
82.29257
77.55125
88.07639
88.95467
83.92542
88.33509
84.36723
77.89679
82.38985
67.81415
80.68263
87.25767
81.1521
82.15546
72.52171
67.58353
86.11663
75.5958
69.29909
77.69888
88.10717
84.43768
76.63519
76.67074
73.78486
79.98661
72.25349
88.68449
87.50085
75.20974
83.26245
86.24998
82.80463
81.16292
81.38507
83.01762
80.03256
88.0504
79.60369
72.79961
76.64304
78.34641
76.24377
80.96636
82.47478
77.07063
84.55949
78.45641
86.03345
80.5294
81.23737
86.94495
70.80997
76.14143
90.86433
71.27545
63.78769
69.48347

Problem 9-15

Bay Oil produces two types of fuels (regular and super) by mixing three ingredients. The major distinguishing feature of the two products is the octane level required. Regular fuel must have a minimum octane level of 90 while super must have a level of at least 100. The cost per barrel, octane levels, and available amounts (in barrels) for the upcoming two-week period are shown in the following table. Likewise, the maximum demand for each end product and the revenue generated per barrel are shown.

Develop and solve a linear programming model to maximize contribution to profit.

If required, round your answers to one decimal place. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)

R1, R2, R3, S1, S2, S3 ≥ 0

What is the optimal contribution to profit?

Maximum Profit = $   by making  barrels of Regular and  barrels of Super.

A biotechnology firm is planning its investment strategy for future products and research labs. A poll found that 11​% of a random sample of 1047 adults approved of attempts to clone a human.

Question: Find the margin of error for this poll if we want 90​% confidence in our estimate of the percent of adults who approve of cloning humans.

ME = ____________ (round to three decimal places as needed.)

Question: Find the margin of error if we want 99% confidence in our estimate.

ME= ________ ( round to three decimal places as needed.)

Diastolic blood pressure for diabetic women has a normal distribution with unknown mean and a standard deviation equal to 10 mmHg. Researchers want to know if the mean DBP of diabetic women is equal to the mean DBP among the general public, which is known to be 76 mmHg. A sample of 10 diabetic women is selected and their mean DBP is calculated as 85mmHg.

a. Conduct the appropriate hypothesis test at the 0.01 significance level.

b. What would a Type-1 error in example setting be?

c. How much power do you have to detect a difference of 11 mmHg between men and women?

In 2018-2019 season, Adam had a free throw success percentage of 64.2%. Assume that free throw shots are independent and that he had 8 free throws in a game.

Let X= number of free throws made in the next game.

-X has a binomial distribution, state the value of n and p.

-Find the binomial properties. Create a probability distribution table for X and show this probability distribution below.

(Write the following in terms of x in part A and in part B determine the probabability)

1. -Half are made

a. x=

b. Probabability=

2. Compute the mean and standard deviation for the probability distribution. Interpret the values that you calculate in the context of this problem.

The Merck Manual states that, for healthy adults, the mean number of milliliters of oxygen per deciliter of blood is 19.0. A company that sells vitamins claims that its multivitamin complex will increase the oxygen capacity of the blood. A random sample of 28 adults took the vitamin for six months. After blood tests, it was found that the sample mean was 20.7 ml of oxygen per deciliter of blood with a standard deviation of 6.7ml.

a. At the 0.05 level, test the claim that the average oxygen capacity has increased.

b. How much power do you have to detect a 3ml difference (from the null) in the average amount of oxygen in the blood?

c. What sample size would you need to have 90% power to detect this observed difference?

Sheila's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if her glucose level is above 125 milligrams per deciliter (mg/dl) one hour after a sugary drink. Sheila's measured glucose level one hour after the sugary drink varies according to the Normal distribution with μ = 110 mg/dl and σ = 14 mg/dl.

Let X = Sheila's measured glucose level one hour after a sugary drink

(a) P(X > 125) =  (Use 3 decimal places)

Suppose measurements are made on 3 separate days and the mean result is compared with the criterion 125 mg/dl.

(b) P(X > 125) =  (Use 3 decimal places)

(c) What sample mean blood glucose level is higher than 95% of all other sample mean blood glucose levels? Hint: this requires a backward Normal calculation. (Use 2 decimal places)