Find the mean and standard deviation of the times and icicle lengths for the data on run 8903 in data data449.dat. Find the correlation between the two variables. Use these five numbers to find the equation of the regression line for predicting length from time. Use the same five numbers to find the equation of the regression line for predicting the time an icicle has been growing from its length. (Round your answers to three decimal places.)

time    length
10      1.6
20      3
30      4.2
40      4.7
50      7.5
60      11
70      10.8
80      13
90      13.7
100     17.1
110     15.9
120     19.1
130     21.6
140     22.7
150     25.8
160     25.8
170     27.5
180     30.2

times x =

times s =

lengths x =

lengths s =

r =

time = + length

length = + time

Consider a drug testing company that provides a test for marijuana usage. Among 326 tested​ subjects, results from 26 subjects were wrong​ (either a false positive or a false​ negative). Use a 0.10 significance level to test the claim that less than 10 percent of the test results are wrong.

Research continues to accumulate around the so-called Mozart Effect. In this study, researchers collected the child's IQ score and the number of hours the child listened to Mozart as well as the number of hours the child received direct parental involvement. What hypotheses do you believe the researchers are interested in? Compare the relationship between these three variables. State your results in context with correct APA notation and an APA style table for the results.

In a study of red/green color blindness, 900 men and 3000 women are randomly selected and tested. Among the men, 84 have red/green color blindness. Among the women, 6 have red/green color blindness. Test the claim that men have a higher rate of red/green color blindness.
(Note: Type ?_? ???=?_? for the proportions are not equal, ?_?>?_? for the proportion of men with color blindness is larger, ?_?<?_? , for the proportion of men is smaller, and ?_?=?_? for the proportions are equal. )

(a) State the null hypothesis:

(b) State the alternative hypothesis:

(c) The test statistic is  (to two decimal places)

(d) Construct the 99% confidence interval for the difference between the color blindness rates of men and women (round to at least three decimal places). Remember to recalculate the SE, since it is different for CIs and tests.

Suppose that the index model for two Canadian stocks HD and ML is estimated with the following results:

R_HD =0.02+0.80R_M+e_HD

R-squared =0.6

                  R_ML =-0.03+1.50R_M+e_ML

R-squared =0.4

σ_M =0.20

where M is S&P/TSX Comp Index and R_X is the excess return of stock X.

1. What is the standard deviation of each stock? (Hint: b_i = (ρ_iM σ_i) / σ_M.)
2. What is the systematic risk of each stock?
3. What are the covariance and correlation coefficient between HD and ML?
4. For portfolio P with investment proportion of 0.3 in HD and 0.7 in ML, calculate the systematic risk, non-systematic risk and total risk of P.

​

The table below gives beverage preferences for random samples of teens and adults.

We are asked to test for independence between age (i.e., adult and teen) and drink preferences. If the value of the test statistic is greater than the critical value of the test statistic, what is the result of the test?

Select one:

A. hypothesis of independence can be rejected

B. hypothesis of independence cannot be rejected

C. test is inconclusive

D. None of these alternatives is correct.

I need to know how to solve this on paper and on a ti-84

A new otc medicine to treat a sore throat is to be tested for its effectiveness. The maker of the drugmedicine take 2 random samples of 25 individuals showing symptoms of a sore throat. Group 1 receives the new medicine and group 2 recieves a placebo. After a few days of the medicine, each group is interviewed and asked how they would rate their comfort level on a scale of 1-10 ( 1 being the most uncomfortable). The results are below. Is there sufficient evidence to conclude the variance in scores from group 1 is less than the variance of scores in group 2? test at a alpha=0.01

group 1 group 2

3 4

5 5

6 8

7 3

5 5

3 2

4 7

5 8

7 2

7 4

3 1

2 2

5 2

8 3

8 2

7 1

7 3

8 5

4 5

8 1

4 6

8 4

3 7

9 8

10 1

The following data represent the muzzle velocity​ (in feet per​ second) of rounds fired from a​ 155-mm gun. For each​ round, two measurements of the velocity were recorded using two different measuring​ devices, resulting in the following data. Complete parts​ (a) through​ (d) below.

A. 793.4 ,792.3, 791.4 ,793.9, 794.7 ,791.7

B. 799.7, 788.6 ,797.0, 791.7 ,795.3, 787.4

(a)- why are these matched-pair data

A. all the measurements came from rounds fired from the same gun.

B. the measurements (A and B) are taken by the same instrument

C. the same round was fired in every trial

   D. Two measurements (A and B) are taken on the same round

(B) is there a difference in the measurement of the muzzle velocity between device A and B at the a=0.01 level of significance ?

let d1= a1-b1 Identify the null and alternative hypotheses

(C) determine the test statistic for this hypotheses test.

(D) find the p value

Suppose you are a loan office for a bank, and you want to compare interest rates on first mortgages at your branches last month. YOu collect the following data: number 21, 41 mean interest rate 6.60% , 5.90% standard deviation 0.35%, 0.28% . Set up the hypothesis with the proper H0 and H1. Find the F critical value for a=0.05

World Foods, Inc., imports food products such as meats, cheese, and pastries to the United States from warehouses at ports in hamburg, Marseilles, and Liverpool. Ships from these ports deliver the products to Norfolk, New York, and Savannah, where they are stored in company warehouses before being shipped to distribution centers in Dallas, St. Louis, and Chicago. The products are then distributed to specialty food stores and sold through catalogs. The shipping costs ($/1,000 lb.) from the European ports to the U.S. cities and the available supplies (1,000 lb.) at the European ports are provided in the following table:

The transportation costs ($/1,000 lb.) from each U.S. City of the three distribution centers and the demands (1,000 lb.) at the distribution centers are as follows:

Determine the optimal shipments between the European ports and the warehouses and the distribution centers to minimize total transportation costs.

A sociologist researching the link between race and inequality believes that younger people and/or people with more education generally have more tolerant views. To test this hypothesis, the sociologist gathers a random sample of 10 Caucasians ranging in age from teenager to elderly and asks them for their beliefs about African-Americans on a 10-point scale (1 representing acceptance of negative beliefs, 10 representing acceptance of positive beliefs), and number of completed years in school (including college if applicable). Check to see if his idea about the relationship between age and racial stereotyping and education is correct by conducting the correct comparative analysis and interpreting the results in context with APA notation in your response and an APA style table depicting the results.

Dr. Palpatine teaches statistics at Coruscant University. He believes there are three types of classes he may encounter:

(P) Poor classes, where only 70% of the students will be able to pass exam 1 in the course.

(A) Average classes, where 85% of the students will be able to pass exam 1.

(G) Good classes, where 95% of the students will be able to pass exam 1.

Assuming Palpatine teaches a class of 35 students...

If the class is poor (P), what is the probability that exactly 30 of them will pass (E), that is what is P(E|P)? _______

If the class is average (A), what is the probability that exactly 30 of them will pass (E), that is what is P(E|A)? _______

If the class is average (G), what is the probability that exactly 30 of them will pass (E), that is what is P(E|G)? _______

Now suppose that Palpatine initially believed the probability that his class was poor, average, and good was 25%, 50%, and 25% respectively. Use Bayes' Rule and the results above to find P(G|E), the probability his class is a good one (G) given the evidence E that exactly 30 of them passed the first exam. ______

Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.52 and a standard deviation of 0.43. Using the empirical rule, what percentage of the students have grade point averages that are between 1.23 and 3.81?

A study of the effect of television commercials on 12-year-old children measured their attention span, in seconds. The commercials were for clothes, food, and toys.

Clothes Food Toys

a. Complete the ANOVA table using a .05 significance level (Round the SS and MS values to 1 decimal place and F value to 2 decimal places. Leave no cells blank — be certain to enter "0" wherever required. Round the df values to nearest whole number.)

b. Find the values of mean and standard deviation. (Round the mean and standard deviation values to 3 decimal places.)

c. Is there a difference in the mean attention span of the children for the various commercials?

d.

Are there significant differences between pairs of means?