A regression analysis relating a company’s sales, their advertising expenditure, price, and time resulted in the following.

1. The time to failure for an electronic device is measured as with different operation temperatures and humidity levels. The following data is obtained.

Is there a difference in mean life with different temperature and humidity? Is there an interaction between temperature and humidity? Complete the below table to support your conclusions.

Six test wells were drilled into the Marcus shale formation. Initial extraction rates for these six wells, in barrels/day, are: 545 , 615, 722, 487, 566, and 621.

You have been tasked with deciding whether the likely yield justifies developing this site.

a. What is the range of extraction rates so that there is a 90% probability of containing the actual average extraction rate?

b. If you wish to be conservative, what single value for the likely extraction rate will you give?

ii)What test would you do to find out if Drug B is more effective than A? justify your choice with explanation. write the equation that determines the test-statistic and define all the terms.

iii) if both drugs have the same active compound but with different weight, how do you show the effect of the active compound on the effectiveness of the drug?

what are the key parameters that indicate the validity of the model in Question (iii).

A national firm reports mean earnings of

$70 ± $9

(μ ± σ) per unit sold over the lifetime of the company. A competing company over the past 16 reporting periods had reported mean earnings equal to $73 per unit sold. Conduct a one-sample z-test to determine whether mean earnings (in dollars per unit) are larger (compared to that reported by the national firm) at a 0.05 level of significance.

(a) State the value of the test statistic. (Round your answer to two decimal places.)
z =  

State whether to retain or reject the null hypothesis.

Retain the null hypothesis.Reject the null hypothesis.    

(b) Compute effect size using Cohen's d. (Round your answer to two decimal places.)
d =

i)What test would you do to find out if Drug A is effective?

a)when data follows normal distribution

b)when data does not follow normal distribution, provide two methods to find out if the drug Is effective; how is one advantageous over the other method?

Fair Coin? In a series of 100 tosses of a token, the proportion of heads was found to be 0.61. However, the margin of error for the estimate on the proportion of heads in all tosses was too big. Suppose you want an estimate that is in error by no more than 0.03 at the 95% confidence level. (a) What is the minimum number of tosses required to obtain this type of accuracy? Use the prior sample proportion in your calculation. You should toss the token at least times. (b) What is the minimum number of tosses required to obtain this type of accuracy when you assume no prior knowledge of the sample proportion? You should toss the token at least times.

Suppose you roll two twenty-five-sided dice. Let X1, X2 the outcomes of the rolls of these two fair dice which can be viewed as a random sample of size 2 from a uniform distribution on integers.

(b) List all possible samples and calculate the value of the sample mean ¯(X) and variance (s 2 ) for each sample?

(c) Obtain the sampling distribution of X¯ from this list by creating a frequency distribution table. You can create a frequency distribution table using Excel and share it on your file. Then calculate relative frequencies, i.e., f(x), which give the probabilities of the sampling distribution of X¯, and calculate the mean of the sampling distribution, i.e., xf(x). Check if that equals to (µ).

(d) Make a Histogram for the sampling distribution of X¯ you have obtained in (c). Use the Data Analysis Toolpak in Excel to make the Histogram. For Bins, use the Row Labels of the frequency tables you have created in (c).

A die is rolled. Find the probability of the given event.
(a) The number showing is a 2;
The probability is :

     
(b) The number showing is an even number;
The probability is :

    
(c) The number showing is greater than 5;
The probability is :     

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 210 feet and a standard deviation of 50 feet. Let X = distance in feet for a fly ball.

Part B

If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 190 feet? (Round your answer to four decimal places.)

Part C

Find the 80th percentile of the distribution of fly balls. (Round your answer to one decimal place.)

Question 1. The heart rate of 20 randomly selected adults was on average 85 beats per minute (bpm) with a standard deviation of 5 bpm. Build a 95% confidence interval for the mean heart rate of adults in the population. Interpret the interval you have created

The average number of customers visiting the science center was 800 per day last year and the populations standard deviation is 250 customers per day.

1. In a span of a month, i.e. 30 days, write out the distribution of the sample mean

2. What is the probability that the sample mean is over 275 customers per day in a month?

3. What is the probability that the sample mean is less than 275 customers per day in a month?

4. A good month means the average number of customers is more than the average of 95% of the other month. Determine the criteria of a good month.

An engineer wants to determine how the weight of a​ gas-powered car,​ x, affects gas​ mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts​ (a) through​ (d) below

​(a) Find the​ least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.

​(Round the x coefficient to five decimal places as needed. Round the constant to two decimal places as​ needed.)

​(b) Interpret the slope and​ y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice. ​(Use the answer from part a to find this​ answer.)

A. For every pound added to the weight of the​ car, gas mileage in the city will decrease by ___ ​mile(s) per​ gallon, on average. It is not appropriate to interpret the​ y-intercept.

B. For every pound added to the weight of the​ car, gas mileage in the city will decrease by ___ ​mile(s) per​ gallon, on average. A weightless car will get ___ miles per​ gallon, on average.

C. A weightless car will get ___ miles per​ gallon, on average. It is not appropriate to interpret the slope.

D. It is not appropriate to interpret the slope or the​ y-intercept.

​(c) A certain​ gas-powered car weighs 3700 pounds and gets 19 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this​ weight?

A. Below

B. Above

(d) Would it be reasonable to use the​ least-squares regression line to predict the miles per gallon of a hybrid gas and electric​ car? Why or why​ not?

A. ​No, because the hybrid is a different type of car.

B. Yes, because the hybrid is partially powered by gas.

C. ​No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n = 11.

D.​Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n = 11.

This Z-value has exactly 0.95 area to its left and .05 area to its right. What is the correct Z-value?

DATA SET 2

The following data were obtained from a research study comparing two treatment conditions. Analyze this data to determine whether you will reject or fail to reject the null hypothesis based upon your results. Two-tailed test. Alpha = .05 (Please show work)