We assume that our wages will increase as we gain experience and become more valuable to our employers. Wages also increase because of inflation. By examining a sample of employees at a given point in time, we can look at part of the picture. How does length of service (LOS) relate to wages? The data here (data9.dat) is the LOS in months and wages for 60 women who work in Indiana banks. Wages are yearly total income divided by the number of weeks worked. We have multiplied wages by a constant for reasons of confidentiality.

(a) Plot wages versus LOS. Consider the relationship and whether or not linear regression might be appropriate.

(b) Find the least-squares line. Summarize the significance test for the slope. What do you conclude?

(c) State carefully what the slope tells you about the relationship between wages and length of service.

(d) Give a 95% confidence interval for the slope.
(_______ ,_______ )

worker  wages   los     size
1       51.7094 69      Large
2       71.0128 60      Small
3       70.07   202     Small
4       49.9388 89      Small
5       51.4523 81      Large
6       61.5483 94      Small
7       45.4168 55      Large
8       53.4017 88      Large
9       42.3147 155     Large
10      46.2871 86      Small
11      63.229  112     Large
12      57.062  72      Small
13      45.8663 32      Small
14      42.0388 35      Large
15      43.3518 57      Large
16      54.3362 39      Large
17      62.1635 47      Large
18      42.8431 89      Small
19      68.4515 42      Large
20      44.4342 65      Large
21      43.6074 62      Large
22      40.2586 28      Small
23      58.7744 75      Large
24      51.7969 67      Small
25      73.4367 168     Large
26      46.8493 86      Small
27      49.9769 44      Small
28      44.8422 93      Large
29      44.7397 113     Large
30      51.0961 25      Large
31      76.9333 118     Small
32      49.2112 109     Large
33      49.1286 43      Large
34      56.6601 74      Small
35      59.466  85      Large
36      37.9853 146     Large
37      39.2893 88      Large
38      37.1191 81      Small
39      53.4795 57      Large
40      68.418  88      Small
41      55.6763 45      Small
42      60.8119 73      Small
43      61.1519 113     Large
44      52.1887 47      Small
45      64.3686 33      Large
46      77.7875 188     Small
47      98.2949 75      Large
48      70.8228 81      Large
49      48.0061 70      Small
50      44.3186 22      Large
51      55.4166 59      Large
52      47.1434 58      Large
53      49.7145 78      Large
54      59.1692 57      Small
55      48.7496 45      Small
56      61.6285 71      Large
57      73.1227 26      Small
58      44.0953 65      Large
59      51.2836 30      Small
60      37.4581 55      Large

A political pollster is conducting an analysis of sample results in order to make predictions on election night. Assuming a​ two-candidate election, if a specific candidate receives at least 54% of the vote in the​ sample, that candidate will be forecast as the winner of the election. You select a random sample of 100 voters. Complete parts​ (a) through​ (c) below.

a.

The probability is ______ that a candidate will be forecast as the winner when the population percentage of her vote is 50.1​%.

b.

The probability is _____that a candidate will be forecast as the winner when the population percentage of her vote is 56​%

c.

Researchers often use z-tests to compare their samples to known population norms. The Graded Naming Test (GNT) asks respondents to name objects in a set of 30 black-and-white drawings. The test often used to detect brain damage, starts with easy words like kangaroo and gets progressively more difficult, ending with words like sextant. The GNT population norm for adults in England is 20.4. Roberts (2003) wondered whether a sample of Canadian adults had different scores than adults in England. If they were different, the English norms would not be valid for use in Canada. The mean for 30 Canadian adults was 17.5. For the purposes of this exercise, assume that the standard deviation of the adults in England is 3.2.

When we conduct a one-tailed test instead of a two-tailed test, there are small changes in steps 2 and 4 of hypothesis testing. (Note: For this example, assume that those from populations other than the one on which it was normed will score lower, on average. That is, hypothesize that the Canadians will have a lower mean.) Conduct steps 2, 4, and 6 of hypothesis testing for a one-tailed test.

please help me by actually writing step by step what you are doing so I can understand clearer. do not ONLY use equations to reply please

Two baseball teams play a best-of-seven series, in which the series ends as soon as one team wins four games. The first two games are to be played on A’s field, the next three games on B’s field, and the last two on A’s field. The probability that A wins a game is 0:7 at home and 0:5 away. Assume that the results of the games are independent. Find the probability that:

(a) A wins the series in 4 games; in 5 games;

(b) the series does not go to 6 games.

9)Test the claim that σ² < 44.8 if n = 28, s² = 28, and α = 0.10. Assume that the population is normally

distributed. Identify the claim, state the null and alternative hypotheses, find the critical value, find the standardized test statistic, make a decision on the null hypothesis (you may use a P-Value instead of the standardized test statistic), write an interpretation statement on the decision.

10)The heights (in inches) of 20 randomly selected adult males are listed below.  Test the claim that the

variance is less than 6.25. Assume the population is normally distributed. Use α = 0.05. Identify the claim, state the null and alternative hypotheses, find the critical value, find the standardized test statistic, make a decision on the null hypothesis (you may use a P-Value instead of the standardized test statistic), write an interpretation statement on the decision.

70 72 71 70 69 73 69 68 70 71

67 71 70 74 69 68 71 71 71 72

Researchers often use z-tests to compare their samples to known population norms. The Graded Naming Test (GNT) asks respondents to name objects in a set of 30 black-and-white drawings. The test often used to detect brain damage, starts with easy words like kangaroo and gets progressively more difficult, ending with words like sextant. The GNT population norm for adults in England is 20.4. Roberts (2003) wondered whether a sample of Canadian adults had different scores than adults in England. If they were different, the English norms would not be valid for use in Canada. The mean for 30 Canadian adults was 17.5. For the purposes of this exercise, assume that the standard deviation of the adults in England is 3.2.

Some words on the GNT are more commonly used in England. For example, a mitre, the headpiece worn by bishops, is worn by the archbishop of Canterbury in public ceremonies in England. No Canadian participant correctly responded to this item, whereas 55% of English adults correctly responded. Explain why we should be cautious about applying norms to people different from those on whom the test was normed.

The SAT and the ACT are the two major standardized tests that colleges use to evaluate candidates. Most students take just one of these tests. However, some students take both. The data data34.dat gives the scores of 60 students who did this. How can we relate the two tests?

(a) Plot the data with SAT on the x axis and ACT on the y axis. Describe the overall pattern and any unusual observations.

(b) Find the least-squares regression line and draw it on your plot. Give the results of the significance test for the slope. (Round your regression slope and intercept to three decimal places, your test statistic to two decimal places, and your P-value to four decimal places.)

(c) What is the correlation between the two tests? (Round your answer to three decimal places.) (_______)

obs     sat     act
1       1104    23
2       786     16
3       668     18
4       1062    20
5       1025    21
6       1254    29
7       1183    21
8       908     12
9       837     22
10      695     12
11      1043    21
12      735     18
13      884     17
14      1269    28
15      968     21
16      1034    22
17      1070    25
18      826     19
19      750     16
20      1043    21
21      854     23
22      1063    26
23      866     21
24      1021    18
25      719     10
26      1134    27
27      932     20
28      1069    22
29      904     20
30      839     23
31      998     20
32      672     17
33      1199    26
34      775     22
35      1195    31
36      795     15
37      776     18
38      888     19
39      967     22
40      915     23
41      792     18
42      663     20
43      745     13
44      615     14
45      844     18
46      745     15
47      950     24
48      967     21
49      1258    27
50      983     21
51      915     21
52      1041    19
53      902     25
54      932     23
55      858     16
56      966     22
57      784     18
58      1082    27
59      868     20
60      992     24

Over a five-year period, the quarterly change in the price per share of common stock for a major oil company ranged from -8% to 12%. A financial analyst wants to learn what can be expected for price appreciation of this stock over the next two years. Using the fiveyear history as a basis, the analyst is willing to assume that the change in price for each quarter is uniformly distributed between -8% and 12%. Use simulation to provide information about the price per share for the stock over the coming two-year period (eight quarters).

Evaluate and provide examples of the differences between using the general addition rule and conditional probability. In what situations are the approaches most applicable? Provide an example of appropriate use of each approach.

Perform the hypothesis tests below, show your steps and calculations. Identify the distribution that you will be using for each one. Please remember to draw your conclusions and interpret your decisions

1-According to the National Coalition on Health Care, the mean annual premium for an employer health plan covering a family of four cost $11,500 in 2007. A random sample of 100 families of four taken this year showed a mean annual premium of $11,750. Assuming $1500  = , test whether the mean annual premium has increased, using a 0.05 significant level. Use the p-value method

2- Health issues due to being overweight affect all age groups. Of children and adolescents 6 – 11 years of age, 18.8% are found to be overweight. A school district randomly sampled 130 students in this age group and found that 20 were considered overweight.   At the 90% level of confidence, is this less than the national proportion? Use the p-value method.

Question 2: For each of the following data sets, classify into the following, and give a brief explanation for each choice:

i. Quantitative or Qualitative

ii. Discrete or Continuous

iii. Nominal, Ordinal, Interval, or Ratio

a) Low temperature on the day of the winter solstice at a certain location, in °C, over 20 consecutive years.

b) Number of years, out of the last 20 years, when the low temperature on the day of the winter solstice was below 0 °C, at 50 different locations.

c) Rankings from 1-50, of coldest locations, based upon the number of years out of the last 20 years when the low temperature on the day of the winter solstice was below 0 °C, with 1 = location with most such days and 50 = location with fewest such days. Need help with this question thanks !!!

You are interested in finding a 95% confidence interval for the average number of days of class that college students miss each year. The data below show the number of missed days for 13 randomly selected college students. Round answers to 3 decimal places where possible. 10 5 2 4 1 2 1 0 1 9 9 10 5 a. To compute the confidence interval use a distribution. b. With 95% confidence the population mean number of days of class that college students miss is between and days. c. If many groups of 13 randomly selected non-residential college students are surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population mean number of missed class days and about percent will not contain the true population mean number of missed class days.

AP Tests:

The effort to reward city students for passing Advanced Placement tests is part of a growing trend nationally and internationally. Financial incentives are offered in order to lift attendance and achievement rates. One such program in Dallas, Texas offers $100 for every AP test on which a student scores a three or higher. A wealthy entrepreneur decides to experiment with the same idea of rewarding students to enhance performance, but in Chicago. He offers monetary incentives to students at an inner-city high school. He takes a random sample of 122 students who took the AP tests. Twelve tests are scored at 5, the highest possible score. There are 60 tests with scores of 3 or 4, and 50 tests with failing scores of 1 or 2. Historically, of tests that are taken at this school each year, 8% score 5, 38% score 3 or 4, and the remaining are failing scores of 1 or 2.

incase you need previous info, i post all questions on, but you first need to answer part d. thx!

1. a) Provide a table showing the percentages of students at each score level before and after the

   monetary incentive. Discuss what you are seeing.

2. b) Althoughwemayseeadifferenceinpercentageswewillneedtoshowthechangeisstatistically

   significant. Conduct a hypothesis test that determines, at the 5% significance level, whether the monetary incentive has resulted in a higher proportion of scores of 5, the highest possible score. Show all your work and thoroughly describe your steps.

3. c) Conduct a hypothesis test that determines if the monetary incentive has decreased the proportion of failing scores of 1 and 2. Use a 5% significance level. Show all your work and thoroughly describe your steps.

4. d) Assestheeffectivenessofmonetaryincentivesinimprovingstudentachievement.

The time between arrivals of parts in a single machine queuing system is uniformly distributed from 1 to 20 minutes (for simplicity round off all times to the nearest whole minute.) The part's processing time is either 8 minutes or 14 minutes. Consider the following case of probability mass function for service times: Prob. of processing (8 min.) = .5, Prob. of processing (14 min.) = .5 Simulate the case, you need to estimate average waiting time in system. Start the system out empty and generate the first arrival time, etc. You need to submit random numbers used (Use the third block of the Random number table to generate interarrival time and the fourth block to generate service time), interarrival time and service time for each part, discuss how you compute (10%) and (you need to generate 20 parts):

(1) clock arrival time for each part (10%),

(2) clock time starts to process each part (10%),

(3) clock departure time for each part (10%),

(4) total waiting time in system for each part (20%),

(5) plot average total waiting time in system versus part number (20%),

(6) plot average idle time of the machine versus part number (compute at the end of each processing) (20%)

Please write in bold letters

THANKS

In Lesson Six you've explored discrete probability distributions. To demonstrate your understanding of these, respond to the prompts below.

1. Describe an example of a real-world situation where the binomial distribution could be used to answer a question or solve a problem. Explain what makes this a binomial and how it could be used to answer the question that is being posed.
2. Based on the scenario you've created above, provide one possible set of values for n, x, p and q and work through the steps to calculate P(x). You may use technology to find factorials but show your work in all of the steps as you work towards an answer.
   1. Hint: Calculate nCr = ____fill in the blank, then calculate P(x = r) = ____fill in the blank.
3. Summarize your result above in a text statement relating the result to the scenario you described in #1.
4. Describe an original real-world example of a probability experiment. Identify the random variable and the possible values it could take on.
5. Describe an example off a discrete probability distribution. Explain how the example meets the criteria for a probability distribution. (