a politician claims that the mean salary for managers in his State is more than the national mean, $82,000.00. Assume the population is normally distributed and the population deviation is $9500.00. The salaries(in dollars) for a random sample of 30 managers in the state are listed. At a=0.07, is there enough evidence to support the claim?
the dollar amounts are:$73,747.00, $87,299.00, $77,242.00, $72,623.00, $80,753.00, $83,263.00, $96,365.00, $93,988.00, $87,831.00, $97,484.00, $74,216.00, $71,883.00, $83,884.00, $89,409.00, $78,373.00, $75,138.00, $83,274.00, $91,670.00, $92,903.00, $74,575.00, $77,973.00, $73,195.00, $83,379.00, $73,439.00, $95,380.00, $98,473.00, $99,111.00, $71,077.00, $75,251.00, $74,547.00.
I also need the standardized test statistic and the p-value as well

please find the standardized test statistic and the p- value.

Suppose you perform the following multiple regression: Y = B0 + B1X1 + B2X2 + B3X3. You find that X1 and X3 have a near perfect correlation. How would you conclude on the utility of your regression result? This is a problem of multicollinearity which renders the entire regression invalid. This is a problem of multicollinearity which nevertheless does not invalidate the utility of the model as a whole This is NOT a regression problem and inferences made using the model and the respective coefficients remain valid. This is a problem of multicollinearity. However inferences made concerning the individual contribution of the model coefficients remain valid

People have been using Cameras for private daily use since the 1880s and the first Kodak camera cost a lot of money in those days. Today we wish to see if the size of the camera can be used to predict the cost. The data is given below:

Y = cost in dollars X = weight in ounces y {300, 250, 350, 400, 150, 180, 140, 300, 300, 200} X {6, 5, 7, 5, 6, 6, 4, 6, 6, 5} The following information is available for you to use in the analysis of this topic. n=10 x̄= 5.6 ȳ= 257 SSxy = 248 SSxx = 6.4 SSyy = 69010

Find the least squares prediction equation. a)Ŷ = -300 + 100X1 b)Ŷ = 0 + 50X1 c)Ŷ = 40 + 38.75X1 d)none of these

1.Your Username for your company computer is three letters followed by five single digit numbers. The Letters can be repeated but the digits cannot be repeated. Find total possible number of usernames for your company"s computer system.

2.If a pair of fair dice is rolled find following probability that a number other than seven or eleven is rolled such that it is given that one of the two die is a two or a four.?

3.It is estimated that 2% pregnancies are the result of in vitro fertilization. The chance of multiple births from in vitro fertilization is 48%. The chance of multiple births from normal methods is 3%.

a) What is the probability a couple used in vitro fertilization and it resulted in a non-multiple birth?

b) If a multiple birth did not occur, what is the probability that it is the result of normal methods?

The Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United States. For 21 restaurants located in a certain city, the average price of a dinner, including one drink and tip, was $48.60. You are leaving on a business trip to this city and will eat dinner at three of these restaurants. Your company will reimburse you for a maximum of $50 per dinner. Business associates familiar with these restaurants have told you that the meal cost at one-third of these restaurants will exceed $50. Suppose that you randomly select three of these restaurants for dinner. (Round your answers to four decimal places.)

(a)

What is the probability that none of the meals will exceed the cost covered by your company?

(b)

What is the probability that one of the meals will exceed the cost covered by your company?

(c)

What is the probability that two of the meals will exceed the cost covered by your company?

(d)

What is the probability that all three of the meals will exceed the cost covered by your company?

Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the​ poll, n equals 965 and x equals 578 who said​ "yes." Use a 90 % confidence level. Find the best point estimate of the population proportion p. Identify the value of the margin of error E. Construct the confidence interval. Write a statement that correctly interprets the confidence interval. Choose the correct answer below.

Determine the 95% confidence interval for the following scores: 83, 92, 81, 87, 79, 93, 88, 87, 83. Hint: You will need to determine the sample mean and standard deviation and then construct your confidence interval around these.

1. The annual earnings​ (in dollars) of 35 randomly selected microbiologists are shown in the data table. Use the data to​ (a) find the sample​ mean, (b) find the sample standard​ deviation, and​ (c) construct a​ 98% confidence interval for the population mean. 99 comma 562 80 comma 800 78 comma 478 67 comma 513 51 comma 609 68 comma 005 93 comma 538 65 comma 987 78 comma 937 73 comma 393 44 comma 374 86 comma 745 61 comma 321 58 comma 060 55 comma 246 78 comma 561 47 comma 447 98 comma 021 80 comma 382 92 comma 507 63 comma 334 74 comma 342 50 comma 839 60 comma 678 92 comma 249 83 comma 614 79 comma 272 63 comma 630 74 comma 281 57 comma 235 46 comma 740 89 comma 536 76 comma 085 61 comma 645 82 comma 443

2.In a survey of 3449 ​adults, 1413 say they have started paying bills online in the last year. Construct a​ 99% confidence interval for the population proportion. Interpret the results.

Denise is conducting a study related to consumer loyalty toward three different retail formats (i.e., department stores, specialty stores, and off-price retailers). After gathering background information, she decides to focus the study on three research streams; retail service quality, consumer satisfaction, and consumer loyalty. Denise is interested in identifying factors (i.e., retail service quality) that may contribute to consumer satisfaction and consumer loyalty toward these retailers. According to the literature, consumer satisfaction is a uni-dimensional construct and consumer loyalty consists of two dimensions; word-of-mouth and behavioral intention.

Hi! I am looking for a response regarding how best to identify factors that contribute to the two variables, customer satisfaction and customer loyalty in the following:

Construct the null and alternative hypothesis

What are the dependent and independent variables

What statistical test would you run in SPSS

Miles  Freq
 0-4     3
 5-9    14
10-14   13
15-19    4

Select the most appropriate sentence corresponding to two standard deviations.

*About 68% of students drive between 5.5212 miles and 13.7730 miles to somewhere
*At least 88.9% of students drive between -2.7306 miles and 22.0248 miles to 
*About 99.7% of students drive between 1.3953 miles and 17.8989 miles to 
*About 68% of students drive less than 22.0248 miles to
*About 95% of students drive between 5.5212 miles and 13.7730 miles to
*About 99.7% of students drive between -2.7306 miles and 22.0248 miles to
*About 68% of students drive between 1.3953 miles and 17.8989 miles to
*About 99.7% of students drive between 5.5212 miles and 13.7730 miles to
*At least 75% of students drive between -2.7306 miles and 22.0248 miles to
*At least 75% of students drive less than 22.0248 miles to
*About 95% of students drive between 1.3953 miles and 17.8989 miles to
*At least 75% of students drive between 1.3953 miles and 17.8989 miles to
*About 95% of students drive less than 22.0248 miles to 
*At least 88.9% of students drive between 1.3953 miles and 17.8989 miles to
*About 99.7% of students drive less than 22.0248 miles to
*About 95% of students drive between -2.7306 miles and 22.0248 miles to
*At least 88.9% of students drive less than 22.0248 miles to
*About 68% of students drive between -2.7306 miles and 22.0248 miles to

Research question #2.   Is there a relationship between the relationship between the juveniles’ age and the change of the scores from pretest to posttest (the larger the change, the better the outcome)? (13 points)

1. What are the dependent variable (DV) and independent variable (IV)? (1 point)

2. State the research hypothesis (non-directional) and the null hypothesis. Make sure you include both DV and IV in the hypotheses from #1 above. (2 points)

3. Based on the research question, what type of statistical analysis should be used? Explain. (2 point)

Bad gums may mean a bad heart. Researchers discovered that 78% of people who have suffered a heart attack had periodontal disease, an inflammation of the gums. Only 29% of healthy people have this disease. Suppose that in a certain community heart attacks are quite rare, occurring with only 14% probability.

A. If someone has periodontal disease, what is the probability that he or she will have a heart attack?

Probability =

B. If 44% of the people in a community will have a heart attack, what is the probability that a person with periodontal disease will have a heart attack?

Probability =

You and your spouse each take two gummy vitamins every day. You share a single bottle of 60 vitamins, 30 of one flavor and 30 of another. You each prefer a different flavor, but it seems childish to fish out two of each type (but not to take gummy vitamins). So you just take the first four that fall out and then divide them up according to your preferences. For example, if there are two of each flavor, you and your spouse get the vitamins you prefer, but if three of your preferred flavor come out, you get two of the ones you like and your spouse gets one of each. Of course, you start a new bottle every 15 days. On average, over a 15 day period, how many of the vitamins you take are the flavor you prefer?

I need the code in SAS and R and outputs please

2. The data below come from a study investigating a method of measuring body composition, and give the body fat percentage (% fat), age and sex for 18 adults aged between 23 and 61 years. Source: Mazess, R.B., Peppler, W.W., and Gibbons, M. (1984) Total body composition by dual-photon (153GD) absorptiometry. American Journal of Clinical Nutrition, 40, 834-839.

a Enter the data into SAS using a DATALINES statement in the DATA step. Use PROC PRINT to print the resulting data set. Report your output.

b Create a data frame in R for the body composition data (from part a). Print the data frame and report the output.

Let Z be a normal random variable with mean µ = 0 and standard deviation σ = 1, that is, Z ∼ N(0, 1). Find each of the following:

(a) P(Z ≤ −1.13).

(b) P(Z ≥ −2.18).

(c) P(2.13 ≤ Z ≤ 2.57).

(d) P(−2.3 ≤ Z ≤ −1.1).

(e) P(0 ≤ Z ≤ 1.54).

(f) P(−1.54 ≤ Z ≤ 1.54).

(g) N(1.1243).

(h) N(−1.1243).