4. The mean score on a standardized test is 540 with a standard deviation of 55. What percent of students taking the test scored above 625? (nearest hundredth)

5. True or False. A z-score is the number of standard deviations from the median.

6. True or False. A z-score cannot be negative.

7. True or False. If the standard deviation is small, the data values are very varied.

8. True or False.   The standard error of the mean is smaller than the standard deviation of the population.  

9. True or False.   The z a/2  value cannot be a negative number.

In a clinical​ trial, 20 out of 823 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 1.9​% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 1.9​% of this​ drug's users experience flulike symptoms as a side effect at the alpha equals 0.01 level of​ significance?

A medical researcher wants to compare the pulse rates of smokers and non-smokers. He believes that the pulse rate for smokers and non-smokers is different and wants to test this claim at the 0.05 level of significance. The researcher checks 72 smokers and finds that they have a mean pulse rate of 75, and 81 non-smokers have a mean pulse rate of 72. The standard deviation of the pulse rates is found to be 6 for smokers and 9 for non-smokers. Let μ1 be the true mean pulse rate for smokers and μ2 be the true mean pulse rate for non-smokers.

Step 1 of 4: State the null and alternative hypotheses for the test.

Step 2 of 4: Compute the value of the test statistic. Round your answer to two decimal places.

Step 3 of 4: Determine the decision rule for rejecting the null hypothesis H0H0. Round the numerical portion of your answer to two decimal places.

....reject H0 if

Step 4 of 4: Make the decision for the hypothesis test.

....reject null hypothesis...fail to reject null hypothesis

An agronomist is conducting a field experiment to identify the best management practice for minimizing spread of a certain plant disease in corn. He compares four different management strategies designed so that they would reduce the spread of the disease. He has set up a field study with a total of 25 experimental plots planted with corn and with 5 treatments (4 disease prevention treatments and a control treatment). Each treatment has been assigned to 5 randomly selected plots. Plant biomass was then measured from each plot at the end of the experiment. The ANOVA table and the treatment means are shown below.

ANOVA:

a)(10 points) Conduct all pairwise comparisons between the treatment means using LSD, (=0.05). Present the results using letters assigned to treatment means (Use letters in the column Letters for part a) in the below table)

b)(10 points) Conduct all pairwise comparisons between the treatment means using Tukey’s HSD (=0.05). Present the results using letters assigned to treatment means. (Use the column Letters for part b) in the below table)

                                                NAME:____________________________

c)(10 points) Did you expect to see differences in conclusions obtained using the two methods (LSD and Tukey’s)? Which method would you use for this analysis? For full credit, provide an explanationof your choice.

Step by step procedure by hand, possibly shortest way to go about this problem would be ideal. thank you in advance

3) Here are the weights (kg) of 15 male lions and 17 female lions (all adults). Construct a correct parallel boxplot for these data. males: 176.0 175.7 174.2 185.1 168.1 165.1 177.3 172.4 188.3 162.4 167.3 154.6 176.8 181.8 182.5 females: 105.8 98.1 128.3 114.7 113.6 135.0 125.3 113.5 110.7 109.2 104.1 153.4 105.2 130.4 129.8 111.6 135.0 PLOT ON PAPER PLEASE AND SHOW WORK

suppose that there are two types of busses, red ones arrive at rate λ_red per minute, blue ones arrive at rate λ_blue per minute, and all busses arrive independently of each other

Find the probability that:

(a) the first red bus arrives before the first blue bus.

(b) the second red bus arrives before the second blue bus

A restaurant offers its patrons the following choices for a complete dinner:

i. choose one appetizer out of four;

ii. choose one entree out of five;

iii. choose two different items from a list of three kinds of potatoes, three vegetables, and one salad;

iv. choose one dessert out of four;

v. choose one beverage out of three.

a. How many different dinners can be ordered without ordering more than one kind of potato, assuming that no course is omitted?

b. How many different dinners can be ordered with no more than one kind of potato if one item, other than the entree, is omitted?

Use R to answer the following question. Copy and paste the code and answer from R into your paper.

On the average,five cars arrive at a particular car wash every hour. Let X count the number of cars that arrive from 10 AM to 11 AM. Then X ∼pois(lambda = 5). Also, μ = σ2 = 5.
 What is the probability that no car arrives during this period?
 Suppose the car wash above is in operation from 8AM to 6PM, and we let Y be the number of customers that appear in this period. Since this period covers a total of 10 hours. What is the probability that there are between 48 and 50 customers, inclusive?

There are ten volunteers, from whom we must choose three people for the committee. Three of the volunteers are women. Define ?? to be the number of women in the group of three that are chosen for the committee.

a. How many ways can you choose three people out of 10?

b. Find the exact probability, ??(?? = 2).

c. Find the exact probability, ??(?? ≥ 2).

Use the given categorical data to construct the relative frequency distribution.

Natural births randomly selected from four hospitals in a highly populated region occurred on the days of the week (in the order of Monday through Sunday) with the frequencies 52, 64, 72, 55, 57, 45, 55. Does it appear that such births occur on the days of the week with equal frequency?

Construct the relative frequency distribution.

Day              Relative frequency

Monday               ___%

Tuesday            ___%

Wednesday       ___%

Thursday           ____%

Friday                ___%

Saturday             ___%

Sunday               ____%

(Type integers or decimals. Round to two decimal places as needed.)

Let the frequencies be substantially different if any frequency is at least twice any other frequency, Does it appear that these births occur on the days of the week with equal frequency?

A. Yes, it appears that births occur on the days of the week with frequencies that are about the same.

B. No, it appears that births occur on the days of the week with frequencies that are substantially different.

C. Yes, it appears that births occur on the days of the week with frequencies that are exactly the same.

D. It is impossible to determine with the given information.

A random sample is drawn from a normally distributed population with mean μ = 23 and standard deviation σ = 2.6. [You may find it useful to reference the z table.]

a. Are the sampling distribution of the sample mean with n = 31 and n = 62 normally distributed?

• Yes, both the sample means will have a normal distribution.

• No, both the sample means will not have a normal distribution.

• No, only the sample mean with n = 31 will have a normal distribution.

• No, only the sample mean with n = 62 will have a normal distribution.

b. Calculate the probabilities that the sample mean is less than 23.7 for both sample sizes. (Round intermediate calculations to at least 4 decimal places, “z” value to 2 decimal places, and final answer to 4 decimal places.)

According to the National Automobile Dealers Assoc., 75% of U.S. car dealers' profits comes from repairs and parts sold. However, many of the dealerships' service departments aren't open evenings or weekends. The percentage of dealerships opened during the evenings and weekends are as follows:

a. Are the listed times mutually exclusive?

b. What is the probability that a car dealership selected at random is not open in the evenings or on the weekends?

c. Suppose two car dealerships, say, Dealership A and Dealership B, are each selected at random from car dealerships in the United States. What is the probability that both are open in the evenings but not on the weekends, or that both are open on the weekends but not in the evenings?

d. For the two dealerships in part c, what is the probability that Dealership A is open in the evenings but not on the weekends, and Dealership B is open on the weekends but not in the evenings?

e. For the two dealerships in part c, what is the probability that one of them is open in the evenings but not on the weekends, and that the other is open on the weekends but not in the evenings?

. A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to month. The results of a study of 170 fatal accidents were recorded. Is there enough evidence to reject the highway department executive's claim about the distribution of fatal accidents between each month?

Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Fatal Accidents :

11 19 24 16 11 7 7 17 9 19 18 12

State the null and alternative hypothesis.

What does the null hypothesis indicate about the proportions of fatal accidents during each month?

State the null and alternative hypothesis in terms of the expected proportions for each category.

Find the value of the test statistic. Round your answer to three decimal places.

Find the degrees of freedom associated with the test statistic for this problem.

Find the critical value of the test at the 0.01 level of significance. Round your answer to three decimal places.

Make the decision to reject or fail to reject the null hypothesis at the 0.01 level of significance.

State the conclusion of the hypothesis test at the 0.01 level of significance.

Post a description of the types of probability and nonprobability sampling you selected. Then describe two strengths and two weaknesses of each type of sampling. Finally, identify two ethical considerations that may factor into selecting a sampling method and explain how you might address these considerations.