The blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 261.7 and a standard deviation of 65.5. ​(All units are 1000 ​cells/mu​L.) Using the empirical​ rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the​ mean, or between 130.7 and 392.7​? b. What is the approximate percentage of women with platelet counts between 65.2 and 458.2​?

For each measurement listed below replace the “?” with the most appropriate level or scale of measurement: nominal, ordinal, interval, ratio.

I have figured them all out except D

On average, commuters in Phoenix, Arizona, area require m= 40.0 minutes to get to work.  Assume the times to get to work are normallydistributed with a standard deviation of s= 10 minutes, and that Joe is an average Phoenix resident.

1. What is the probability that on any given day Joe will require over 45 minutes to get to work?

2. What is the probability it will take Joe exactly40.0 minutes to get to work on any given day?

3. Joe has just left home from lunch to attend a meeting with the CEO in 30 minutes.  If the CEO routinely fires employees who are tardy for meetings, what is the probability the Joe will still be employed tomorrow?

4. Joe leaves home for work at exactly the same time.  His work starts at 8:00 AM sharp.  Due to traffic jams during the morning rush hour, Joe was tardy for work on 38.2% of the time.  What time does Joe leave home for work every morning?  Briefly explain your train of thought in arriving to the answer.

Assume that the two samples are from a normal population. Please perform a t test for the differences in sample averages, indicating whether it is significant to 95% confidence (0.05 significance) using one and/or two sided. Assume that the population standard deviation is unknown but presumed equal. Show one-sided and two-sided actual Probability and Critical values using hand calculations and Excel

A 25 24 15 20 21 23 25 28 35 34

B 15 11 14 23 24 20 22 24 25 22

A) Fill in the blanks. According to estimates by the office of the Treasury Inspector General of IRS, approximately 0.07 of the tax returns filed are fraudulent or will contain errors that are purposely made to cheat the IRS. In a random sample of 332 independent returns from this year, around __________ returns, give or take __________, will be fraudulent or will contain errors that are purposely made to cheat the IRS.

B)

According to estimates by the office of the Treasury Inspector General of IRS, approximately 0.0354 of the tax returns filed are fraudulent or will contain errors that are purposely made to cheat the IRS. In a random sample of 393 independent returns from this year, what is the probability that greater than 10 will be fraudulent or will contain errors that are purposely made to cheat the IRS?

C)

Suppose that the probability of a baseball player getting a hit in an at-bat is 0.2884. If the player has 40 at-bats during a week, what's the probability that he gets exactly 16 hits?

Problem 10-07 (Algorithmic)

Aggie Power Generation supplies electrical power to residential customers for many U.S. cities. Its main power generation plants are located in Los Angeles, Tulsa, and Seattle. The following table shows Aggie Power Generation's major residential markets, the annual demand in each market (in megawatts or MWs), and the cost to supply electricity to each market from each power generation plant (prices are in $/MW).

1. If there are no restrictions on the amount of power that can be supplied by any of the power plants, what is the optimal solution to this problem? Which cities should be supplied by which power plants? What is the total annual power distribution cost for this solution? If required, round your answers to two decimal places.
   
   The optimal solution is to produce  MWs in Los Angeles,  MWs in Tulsa, and  MWs in Seattle. The total distribution cost of this solution is $  .
   
2. If at most 3800 MWs of power can be supplied by any one of the power plants, what is the optimal solution? What is the annual increase in power distribution cost that results from adding these constraints to the original formulation? If required, round your answers to two decimal places.
   
   What is the optimal solution to produce ____ MWs in Los Angeles?
3. What is the optimal solution to produce ____ MWs in Tulsa?
4. What is the optimal solution to produce ____ MWs in Seattle?
5. What is the total distribution cost of this solution?
6. What is the increase in cost associated with the additional constraints?

To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil for a 2-year period. The maximum penetration (in mils) for each specimen is then measured, yielding a sample average penetration of x = 52.4 and a sample standard deviation of s = 4.5. The conduits were manufactured with the specification that true average penetration be at most 50 mils. They will be used unless it can be demonstrated conclusively that the specification has not been met. What would you conclude? (Use α = 0.05.)
State the appropriate null and alternative hypotheses.

A- H₀: μ ≠ 50
H_a: μ > 50

B-) H₀: μ = 50
H_a: μ ≠ 50

C-) H₀: μ = 50
H_a: μ > 50

D-) H₀: μ > 50
H_a: μ = 50

Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)

State the conclusion in the problem context.

Reject the null hypothesis. There is not sufficient evidence to conclude that the true average penetration is more than 50 mils.

Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average penetration is more than 50 mils.    

Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true average penetration is more than 50 mils.

Reject the null hypothesis. There is sufficient evidence to conclude that the true average penetration is more than 50 mils.

Roll two dice at the same time, and define a random variable X as the sum of the two faces observed. Determine the CDF and PMF of X. Sketch the CDF.

Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years.† Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 31 arrests last month, 23 were of males aged 15 to 34 years. Use a 1% level of significance to test the claim that the population proportion of such arrests is the city different from 70%. Solve the problem using both the traditional method and the P-value method. Since the sampling distribution of p̂ is the normal distribution, you can use critical values from the standard normal distribution as shown in the table of critical values of the z distribution. (Round the test statistic and the critical value to two decimal places. Round the P-value to four decimal places.)

State your conclusion in the context of the application.

There is sufficient evidence at the 0.01 level to conclude that the true proportion of such arrests in the city differs from 70%.There is insufficient evidence at the 0.01 level to conclude that the true proportion of such arrests in the city differs from 70%.    

Compare your conclusion with the conclusion obtained by using the P-value method. Are they the same?

We reject the null hypothesis using the traditional method, but fail to reject using the P-value method.We reject the null hypothesis using the P-value method, but fail to reject using the traditional method.    The conclusions obtained by using both methods are the same.

A) If the statistical test performed on the data gives p = 0.001 in the case where the alternative hypothesis H1 is true, the resulting conclusion is (at 5% significance level)

Choose one:
1. right negative
2. false negative
3. right positive
4. false positive
5. True, but it is not known whether it is positive or negative
6. False, but it is not known whether it is positive or negative
7. positive, but it is not known whether it is right or wrong
8. negative, but it is not known whether it is right or wrong.

B) If the statistical test performed on the data gives p = 0.6 in the case where the null hypothesis H0 is true, the resulting conclusion is (at 5% significance level)

Choose one:
1. right negative
2. false negative
3. right positive
4. false positive
5. True, but it is not known whether it is positive or negative
6. False, but it is not known whether it is positive or negative
7. positive, but it is not known whether it is right or wrong
8. negative, but it is not known whether it is right or wrong.

C) If the statistical test performed on the data gives p = 0.003 in the case where the null hypothesis H0 is true, the resulting conclusion is (at 5% significance level)

Choose one:
1. right negative
2. false negative
3. right positive
4. false positive
5. True, but it is not known whether it is positive or negative
6. False, but it is not known whether it is positive or negative
7. positive, but it is not known whether it is right or wrong
8. negative, but it is not known whether it is right or wrong.

D) If the statistical test performed on the data gives p = 0.4 in the case where the null hypothesis H0 is false, the resulting conclusion is (at 5% significance level)

Choose one:
1. right negative
2. false negative
3. right positive
4. false positive
5. True, but it is not known whether it is positive or negative
6. False, but it is not known whether it is positive or negative
7. positive, but it is not known whether it is right or wrong
8. negative, but it is not known whether it is right or wrong.

Thank you so much if anyone can help me! I would need only the answers :)

The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 33 records of automobile driver fatalities in Kit Carson County, Colorado, showed that 18 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use α = 0.01. Solve the problem using both the traditional method and the P-value method. Since the sampling distribution of p̂ is the normal distribution, you can use critical values from the standard normal distribution as shown in the table of critical values of the z distribution. (Round the test statistic and the critical value to two decimal places. Round the P-value to four decimal places.)

State your conclusion in the context of the application.

There is sufficient evidence at the 0.01 level to conclude that the true proportion of driver fatalities related to alcohol is less than 77%.There is insufficient evidence at the 0.01 level to conclude that the true proportion of driver fatalities related to alcohol is less than 77%.    

Compare your conclusion with the conclusion obtained by using the P-value method. Are they the same?

We reject the null hypothesis using the P-value method, but fail to reject using the traditional method.The conclusions obtained by using both methods are the same.    We reject the null hypothesis using the traditional method, but fail to reject using the P-value method.

What are the design modeling actions that support creative design?

Arden and Plomin (2006) published a study reporting that IQ scores for boys are more variable than IQ scores for girls. A researcher would like to know whether this same phenomenon applies to other measures of cognitive ability. A standard cognitive skills test is given to a sample of n = 15 adolescent boys and a sample of n = 15 adolescent girls, and resulted in the following scores. Boys Girls 9 5 3 9 7 6 5 4 6 7 5 2 4 8 8 6 4 7 6 8 7 4 9 7 3 5 7 8 6 5 1) Calculate the mean and the standard deviation for each group. Boys: Girls: 2) Based on the means and the standard deviations, describe the differences in intelligence scores for boys and girls. A- The girl's mean intelligence score is HIGHER THAN, LOWER THAN, OR THE SAME AS that the boy's scores. B- The boys’ scores are AS VARIABLE AS, LESS VARIABLE THAN, OR MORE VARIABLE THAN the girls’ scores?

Last year, 57% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 45% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 80 business owners.

(a)

How many business owners in the survey plan to provide a holiday gift to their employees this year?

business owners

(b)

Suppose the business owners in the sample did as they plan. Compute the p-value for a hypothesis test that can be used to determine if the proportion of business owners providing holiday gifts has decreased from last year.

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =

(c)

Using a 0.05 level of significance, would you conclude that the proportion of business owners providing gifts decreased?

Reject H₀. There is insufficient evidence to conclude that the proportion of business owners providing holiday gifts has decreased from last year.

Do not reject H₀. There is insufficient evidence to conclude that the proportion of business owners providing holiday gifts has decreased from last year.    

Do not reject H₀. There is sufficient evidence to conclude that the proportion of business owners providing holiday gifts has decreased from last year.

Reject H₀. There is sufficient evidence to conclude that the proportion of business owners providing holiday gifts has decreased from last year.

What is the smallest level of significance for which you could draw such a conclusion? (Round your answer to four decimal places.)

What is the probability that at least one of a pair of fair dice lands of 5, given that the sum of the dice is 9?