Assuming that the population is normally​ distributed, construct a 95% confidence interval for the population​ mean, based on the following sample size of n=6.

​1, 2,​ 3, 4, 5​,and 15

In the given​ data, replace the value 15 with 6 and recalculate the confidence interval. Using these​ results, describe the effect of an outlier​ (that is, an extreme​ value) on the confidence​ interval, in general.

Find a 95% confidence interval for the population​ mean, using the formula or technology.

Write out the ANOVA shell (sources of variability & degrees of freedom) for each of the following experiments:

(a) The 4 levels of one treatment variable (Trt) are assigned to EUs in a balanced CRD with 10 replicates per treatment group.

(b) Treatments from a 2-way factorial treatment structure where factor A has 3 levels & factor B has 4 levels are assigned to EUs in a balanced CRD with 6 replicates per treatment.

(c) Five treatments are assigned to EUs in an RCBD with 8 blocks of size 5.

(d) An RCBD with 9 blocks has a 2-way treatment structure where factor A has 3 levels and factor B has 2 levels.

In the following exercises, assuming that the thermometer readings are normally distributed, with a mean of 0 celsius and a standard deviation of 1.00 celsius. A thermometer is randomly selected and tested. In each case, calculate the probability of each reading.

a) P(z>1.645)

Test the given claim. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, and then state the conclusion about the null​ hypothesis, as well as the final conclusion that addresses the original claim. Among 2039 passenger cars in a particular​ region, 229 had only rear license plates. Among 370 commercial​ trucks, 56 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. Use a 0.05 significance level to test that hypothesis. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval.

Why would you use ANOVA when you could just run many sets of t-tests? [Think about practical considerations, as well as statistical considerations.]

A marketing research professor is conducting a telephone survey and needs to contact at least 160 wives, 140 husbands, 110 single adult males, and 120 single adult females. It costs $2 to make a daytime call and $4 (because of higher labor costs) to make an evening call. The table shown below lists the expected results. For example, 10% of all daytime calls are answered by a single male, and 15% of all evening calls are answered by a single female. Because of a limited staff, at most half of all phone calls can be evening calls. Determine how to minimize the cost of completing the survey

Q. Develop a Report for the following

Find the optimal solution. State the call plan and total cost?

This week we are learning about the Independent Samples T-Test (a.k.a., between-subjects research design), which tests for mean differences between two independent groups. For this discussion, your task is to describe two examplesof a research question that could be tested with an independent samples t-test. In addition, describe what you believe the outcome would be if the study were to be conducted. Or, if you happen to know of actual research that has tested this question, provide a link for others to check it out. To clarify, you are not actually going to conduct this research. All you need to do is describe the research question and what you hypothesize the outcome to be.

A marketing research professor is conducting a telephone survey and needs to contact at least 160 wives, 140 husbands, 110 single adult males, and 120 single adult females. It costs $2 to make a daytime call and $4 (because of higher labor costs) to make an evening call. The table shown below lists the expected results. For example, 10% of all daytime calls are answered by a single male, and 15% of all evening calls are answered by a single female. Because of a limited staff, at most half of all phone calls can be evening calls. Determine how to minimize the cost of completing the survey

Develop a Report for the following

Obtain a sensitivity report for the reported solution. Which constraints are binding?

From a box of fruit containing 75 oranges and 1 apple a random sample of 2 pieces of fruit has been selected without replacement. Let X be the number of oranges and Y be the number of apples in the sample. What will the covariance of X and Y be?

(CO 5) The heights of 82 roller coasters have a mean of 280.7 feet and a population standard deviation of 59.3 feet. Find the standardized tests statistics and the corresponding p-value when the claim is that roller coasters are less than 290 feet tall.

A recent study about the blood types distribution reported that the percentage of B+ blood type holders in KSA is approximately 19.7%. A call for donation for B+ blood is released at University ofJeddah. What is the probability that the first donor with B+ blood type will be the 7th applicant?

From a box of fruit containing 37 oranges and 1 apple a random sample of 2 pieces of fruit has been selected without replacement. Let X be the number of oranges and Y be the number of apples in the sample. What will the expected value of X, E(X)?

1. Compare and contrast the correlation and the chi-square test of independence. How are they similar and how are they different (i.e. when to use each) 2. Come up with two hypothetical examples demonstrating both strategies or come up with "real-world" applications of these strategies in your professional life (i.e. how could you apply these in your work).

Suppose that the number of weekly traffic accidents occurring in a small town is Poisson random variable with parameter lamda = 7.

(a) what is the probability that at leat 4 accidents occur (until) this week?

(b) what is the probability that at most 5 accidents occur (until) this week given that at least 1 accident will occur today.

Sales personnel for Skillings Distributors submit weekly reports listing the customer contacts made during the week. A sample of 68 weekly reports showed a sample mean of 16.5 customer contacts per week. The sample standard deviation was 5.2.

Provide a 90% confidence interval for the population mean number of weekly customer contacts for the sales personnel.

Provide 95% confidence interval for the population mean number of weekly customer contacts for the sales personnel.