Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma.† Over a period of months, an adult male patient has taken six blood tests for uric acid. The mean concentration was x = 5.35 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with σ = 1.75 mg/dl.

(a) Find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. What is the margin of error? (Round your answers to two decimal places.)

(b) What conditions are necessary for your calculations? (Select all that apply.)

uniform distribution of uric acid

σ is known

σ is unknown

n is large

normal distribution of uric acid

(c) Interpret your results in the context of this problem.

The probability that this interval contains the true average uric acid level for this patient is 0.05.There is not enough information to make an interpretation.    There is a 95% chance that the confidence interval is one of the intervals containing the population average uric acid level for this patient.The probability that this interval contains the true average uric acid level for this patient is 0.95.There is a 5% chance that the confidence interval is one of the intervals containing the population average uric acid level for this patient.

(d) Find the sample size necessary for a 95% confidence level with maximal margin of error E = 1.02 for the mean concentration of uric acid in this patient's blood. (Round your answer up to the nearest whole number.)
blood tests

1. The city council of Pine Bluffs is considering increasing the number of police officers in an effort to reduce crime. Before making a final decision, the council asks the chief of police to survey other cities of similar size to determine the relationship between the number of police officers and the number of crimes reported. The chief gathered the following sample information City Police (x) Number of Crimes(y) Oxford 15 17 Starksville 17 13 Danville 25 5 Athens 27 7 Carey 12 21 Whistler 11 19 Woodville 22 6 ∑ ? = ??? ∑ ? = ?? ∑ ?? = ???? ∑ ? ? = ???? ∑ ? ? = ???? 1) Find the value of correlation coefficient r. (Keep 3 decimal places for r) 2) Interpret the result based on the value of r in part one. 3) Determine the regression equation. (Keep 4 decimal places for a and b) 4) Estimate the number of crimes for a city with 14 police officers. (Keep 1 decimal place)

5)The Environmental Protection agency requires that the exhaust of each model of motor vehicle be tested for the level of several pollutants. The level of oxides of nitrogen (NOX) in the exhaust of one light truck model was found to vary among individually trucks according to a Normal distribution with mean 1.45 grams per mile driven and standard deviation 0.40 grams per mile. (a) What is the 20th percentile for NOX exhaust, rounded to four decimal places? (b) Find the interquartile range for the distribution of NOX levels in the exhaust of trucks rounded to four decimal places.

The standard recommendation for automobile oil changes is once every 5000 miles. A local mechanic is interested in determining whether people who drive more expensive cars are more likely to follow the recommendation. Independent random samples of 45 customers who drive luxury cars and 40 customers who drive compact lower-price cars were selected. The average distance driven between oil changes was 5187 miles for the luxury car owners and 5389 miles for the compact lower-price car owners. The sample standard deviations were 424 and 507 miles for the luxury and compact groups, respectively. Assume that the two population distributions of the distances between oil changes have the same standard deviation. You would like to test if the mean distance between oil changes is less for all luxury cars than that for all compact lower-price cars.

Let μ₁ denote the mean distance between oil changes for luxury cars, and μ₂ denote the mean distance between oil changes for compact lower-price cars. Suppose the test statistic for this case is -2. Calculate the p-value. Round your final answer to the nearest ten thousandth (e.g., 0.1234).

1) BEACH VACATION (5 pts)

You take your family on a wonderful, relaxing vacation to the beach. About 15 minutes after you’ve settled into the perfect spot in the sand, your oldest child tells you he’s bored. To keep him busy you tell him to collect some shells, because you read online that the beach where you’re staying is known for having lots of different colors of shells wash up on the beach. A few days later he’s collected over 500 shells, and he tallies up how many of each color he has in the table below. You’re curious if his collection of shells has the same distribution of colors as the overall beach has, so you go online and find the distribution of shell color percentages you should expect to find at that particular beach, and add those to your data table. Perform a hypothesis test to determine if the color distribution of your son’s seashell collection is what you’d expect at that beach. Use α = 0.10.

Step 1) How would you run this test in MINITAB (Menus, Functions used)?

**can you explain how to solve on calculator**

1. Assume that adults have IQ scores that are normally distributed with a mean of 96.9 and a standard deviation of 19.9.

Find the probability that a randomly selected adult has an IQ greater than 136.4

2. Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1. z= -.85, z= 1.26

3. Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. x=96

4. Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ between 91 and 119.

5. Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=20.Find the probability that a randomly selected adult has an IQ less than 133.

6. Assume that females have pulse rates that are normally distributed with a mean of 75.0 beats per minute and a standard deviation of 12.5 beats per minute.

6a) If 1 adult female is randomly​ selected, find the probability that her pulse rate is between 69 beats per minute and 81 beats per minute.

6b) If 16 adult females are randomly​ selected, find the probability that they have pulse rates with a mean between 69 beats per minute and 81 beats per minute.

6c) Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

7. Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1. z= -.81

8. The standard deviation of the distribution of sample means is _____

The following table shows the number of cars sold last month by six dealers at Centreville Nissan dealership and their number of years of sales experience.

A: Management would like to use simple regression analysis to estimate monthly car sales using the number of years of sales experience. Estimate and interpret the following: a) Regression Equation, b) Slope, c) y-intercept.

B: what happens when years increase by 1?

C What is the predicted salary for someone with 4 years of higher education.

When we toss a penny, experience shows that the probability (longterm proportion) of a head is close to 1-in-2. Suppose now that we toss the penny repeatedly until we get a head. What is the probability that the first head comes up in an odd number of tosses (one, three, five, and so on)? To find out, repeat this experiment 50 times, and keep a record of the number of tosses needed to get a head on each of your 50 trials.

(a)

From your experiment, estimate the probability of a head on the first toss. What value should we expect this probability to have?

b)

Use the expected value to estimate the probability that the first head appears on an odd-numbered toss.

A social scientist would like to analyze the relationship between educational attainments (years in higher ed) and annual salary (in $1,000s). He collects the data above.

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 data311.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.) ACT = + (SAT) t = P = (c) What is the correlation between the two tests? (Round your answer to three decimal places.)

obs     sat     act
1       1031    23
2       801     17
3       663     12
4       1096    27
5       693     17
6       906     22
7       708     17
8       1180    26
9       914     19
10      1099    25
11      775     20
12      1194    27
13      1009    21
14      899     22
15      833     18
16      1087    22
17      802     18
18      901     18
19      877     21
20      1049    20
21      868     17
22      792     17
23      1008    17
24      1167    25
25      554     10
26      1045    20
27      1206    28
28      875     22
29      798     19
30      1060    21
31      1124    26
32      1176    25
33      1068    23
34      732     12
35      741     14
36      969     22
37      593     12
38      613     19
39      619     14
40      1122    24
41      911     18
42      787     16
43      1033    26
44      781     14
45      941     26
46      989     24
47      756     15
48      1043    24
49      647     10
50      817     17
51      357     9
52      1157    27
53      1115    25
54      904     19
55      1094    27
56      837     19
57      573     12
58      749     18
59      1203    25
60      895     23

Below are the values for two variables x and y obtained from a sample of size 5. We want to build a regression equation based the sample data.

In what ways do advertisers in magazines use sexual imagery to appeal to youth? One study classified each of 1509 full-page or larger ads as "not sexual" or "sexual," according to the amount and style of the dress of the male or female model in the ad. The ads were also classified according to the target readership of the magazine. Here is the two-way table of counts.

(a) Summarize the data numerically and graphically. (Compute the conditional distribution of model dress for each audience. Round your answers to three decimal places.)

(b) Perform the significance test that compares the model dress for the three categories of magazine readership. Summarize the results of your test and give your conclusion. (Use α = 0.01. Round your value for χ2 to two decimal places, and round your P-value to four decimal places.) χ2 = P-value =

Following are the published weights (in pounds) of all of the team members of the San Francisco 49ers from a previous year.

177; 205; 210; 210; 232; 205; 185; 185; 178; 210; 206; 212; 184; 174; 185; 242; 188; 212; 215; 247; 241; 223; 220; 260; 245; 259; 278; 270; 280; 295; 275; 285; 290; 272; 273; 280; 285; 286; 200; 215; 185; 230; 250; 241; 190; 260; 250; 302; 265; 290; 276; 228; 265

Calculate:

a. Median

b. Find the first quartile

c. Find the third quartile

d. Calculate the IQR

The test scores for the analytical writing section of a particular standardized test can be approximated by a normal​ distribution, as shown in the figure.

​(a) What is the maximum score that can be in the bottom

20%

of​ scores?

​(b) Between what two values does the middle

60%

of scores​ lie?

the mean is 3.3

the standard deviation is 0.77

* please show steps to solve for both for reference, thanks!