Listed below are the lead concentrations in mu​g/g measured in different traditional medicines. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 16 mu​g/g.

21.5     16.5     3     14.5     4.5     2.5     20.5     16.5     10     13.5

An online survey asked 397 how much extra in taxes they would be willing to pay to protect the environment. The sample average was $599 with a sample standard deviation of $180. Is it appropriate to use a normal distribution to approximate a confidence interval for the population mean? If it’s inappropriate, indicate why.

Select one:

a. Yes.

b. No, because it was not a random sample.

c. No, because n(p-hat) < 10 or n(q-hat) < 10.

d. No, because the sample size wasn’t at least 30 and the population wasn’t normally distributed.

e. No, because we already know the population mean.

Problem 3-05 (Algorithmic) Brandon Lang is a creative entrepreneur who has developed a novelty soap item called Jackpot to target consumers with a gambling habit. Inside each bar of Jackpot shower soap is a single rolled-up bill of U.S. currency. The currency (rolled up and sealed in shrinkwrap) is appropriately inserted into the soap mixture prior to the cutting and stamping procedure. The distribution of paper currency (per 1000 bars of soap) is given in the following table. Distribution of Paper Currency Prizes Bill Denomination Number of Bills $1 500 $5 250 $10 150 $20 50 $50 49 $100 1 Total 1,000 (a) What is the expected amount of money in a single bar of Jackpot soap? If required, round your answer to two decimal places. Expected value = (b) What is the standard deviation of the money in a single bar of Jackpot soap? If required, round your answer to two decimal places. Standard deviation = (c) How many bars of soap would a customer have to buy so that, on average, he or she has purchased four bars containing a $10 or $20 bill? If required, round up your answer to the next whole number. Number of bars of soap = (d) If a customer buys 9 bars of soap, what is the probability that at least one of these bars contains a bill of $20 or larger? If required, round your answer to four decimal places. Probability =

A data set lists earthquake depths. The summary statistics are nequals600​, x overbarequals6.69 ​km, sequals4.25 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 6.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

Wire electrical-discharge machining (WEDM) is a process used to manufacture conductive hard metal components. It uses a continuously moving wire that serves as an electrode. Coating on the wire electrode allows for cooling of the wire electrode core and provides an improved cutting performance. An article gave the following sample observations on total coating layer thickness (in µm) of eight wire electrodes used for WEDM.

21 17 29 35 43 25 24 26

Calculate a 99% CI for the standard deviation of the coating layer thickness distribution.

( , )

2. (8 pts.) The Centers for Disease Control and Prevention reports that the rate of Chlamydia infections among American women ages 20 to 24 is 2791.5 per 100,000. Take a random sample of three American women in this age group. (a) What is the probability that all of them have a Chlamydia infection? (b) What is the probability that none of them has a Chlamydia infection? (c) What is the probability that at least one of them has a Chlamydia infection? (d) What is the probability that at most one has a Chlamydia infection?

Please show work and explain.

a. Which of these variables - age group or blood pressure - are the independent and dependent variables?

Independent: Age ?

Dependent: Blood Pressure ?

b. Find the regression equation which best describes the relationship between these variables.

Y = a + bx?

c. Calculate the correlation coefficient for this regression equation for this sample.  

Annual high temperatures in a certain location have been tracked for several years. Let X represent the number of years after 2000 and Y the high temperature. Based on the data shown below, calculate the linear regression equation using technology (each constant to 2 decimal places). x y 3 35.01 4 35.38 5 37.75 6 36.12 7 36.49 8 40.16 9 38.93 10 39.7 11 42.77 12 43.24 13 42.11 14 44.08 The equation is ˆ y = x + Interpret the y-intercept of the equation: In 2003, the temperature was about 0.84. It does not make sense to interpret the intercept in this scenario. In 2014, the temperature was about 44.08. In 2003, the temperature was about 32.17. In 2000, the temperature was about 32.17

The distribution of actual weights of 8-oz chocolate bars produced by a certain machine is normal with mean 7.7 ounces and standard deviation 0.15 ounces.

(a) What is the probability that the average weight of a bar in a Simple Random Sample (SRS) with four of these chocolate bars is between 7.59 and 7.86 ounces?

(b) For a SRS of four of these chocolate bars,

c) what is the level L such that there is a 3% chance that the average weight is less than L?

Please no cursive Please and thank you

In Lesson Eleven you've seen how to use chi-square tests to answer research questions relevant to those statistical analysis procedures. Respond to the following to demonstrate your grasp of these.

1. Describe a scenario where a researcher could use a Goodness of Fit Test to answer a research question. Fully describe the scenario and the variables involved and explain the rationale for your answer. Why is that test appropriate to use?
2. Describe a scenario where a researcher could use a Test for Independence to answer a research question. Fully describe the scenario and the variables involved and explain the rationale for your answer. Why is that test appropriate to use?
3. The Goodness of Fit Test and Test for Independence both use the same formula to calculate chi-square. Why? I.e., explain the logic of the test.
4. Compare the Goodness of Fit Test and the Test for Independence in terms of the number of variables and levels of those that can be compared. In what ways are they similar or different?
5. Describe how the Test for Independence and correlation are similar yet different.

In a class students were asked to report their gender and whether they had ever been in a car accident. Results are shown in the following table:

We want to test if car accident and gender are related or not.

What is the expected frequency of male and car accident? [Answer to 2 decimal places.]

What is the expected frequency of male and no car accident? [Answer to 2 decimal places.]

What is the expected frequency of female and car accident? [Answer to 2 decimal places.]

What is the expected frequency of female and no car accident? [Answer to 2 decimal places.]

To test independence between gender and car accidents, what is the value of chi-square test statistic? [Answer to 3 decimal places.]

Suppose we are testing:

Null hypothesis: gender and car accidents are not related,
against
Alternative hypothesis: gender and car accidents are related.

If the p-value associated to the ch-square test-statistics is 0.014 and the level of significance is 5%, what will be your conclusion?
Not enough information to reach a decision
Do not reject null hypothesis
Reject null hypothesis

For this discussion, you will reflect on the application of the central limit theorem to research. Develop a main response in which you address the following Summarize the implications of the central limit theorem. Identify what you believe to be the most important application of it. Explain your position, providing examples where possible. Post your main response in accordance with the time frame outlined below, and then reply to the main responses of at least two other students.

1) Find the​ z-scores that separate the middle 81​% of the distribution from the area in the tails of the standard normal distribution. STEPS ON HOW TO SOLVE IT IN TI83

2) Assume the random variable X is normally distributed with mean u=5050 and standard deviation sigmaσequals=7.

Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.

​P(56 less than or equals≤X less than or equals≤67​). HOW TO ENTER IT IN TI 83

The bookstore sells promotional booklets. You can buy the booklets from your supplier in bundles of one dozen each. Each booklet in the bundle costs $65, and will sell for $90. Booklets unsold by specific event will be clearance priced at $20. The bookstore estimates that demand patterns will follow the table below. How many bundles should be purchased based on EMV criteria?

Assume that when adults with smartphones are randomly​ selected, 53% use them in meetings or classes. If 13 adult smartphone users are randomly​ selected, find the probability that fewer than 3 of them use their smartphones in meetings or classes.

The probability is ___.

​(Type an integer or decimal rounded to four decimal places as​ needed.)