Jim Mead is a veterinarian who visits a Vermont farm to examine prize bulls. In order to examine a bull, Jim first gives the animal a tranquilizer shot. The effect of the shot is supposed to last an average of 65 minutes, and it usually does. However, Jim sometimes gets chased out of the pasture by a bull that recovers too soon, and other times he becomes worried about prize bulls that take too long to recover. By reading journals, Jim has found that the tranquilizer should have a mean duration time of 65 minutes, with a standard deviation of 15 minutes. A random sample of 14 of Jim's bulls had a mean tranquilized duration time of close to 65 minutes but a standard deviation of 22 minutes. At the 1% level of significance, is Jim justified in the claim that the variance is larger than that stated in his journal? Find a 95% confidence interval for the population standard deviation.

(a) What is the level of significance?

State the null and alternate hypotheses.

H_o: σ² = 225; H₁: σ² < 225

H_o: σ² = 225; H₁: σ² ≠ 225    

H_o: σ² > 225; H₁: σ² = 225

H_o: σ² = 225; H₁: σ² > 225

(b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.)

What are the degrees of freedom?

What assumptions are you making about the original distribution?

We assume a exponential population distribution.

We assume a binomial population distribution.    

We assume a normal population distribution.

We assume a uniform population distribution.

(c) Find or estimate the P-value of the sample test statistic.

P-value > 0.100

0.050 < P-value < 0.100    

0.025 < P-value < 0.050

0.010 < P-value < 0.025

0.005 < P-value < 0.010

P-value < 0.005

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?

Since the P-value > α, we fail to reject the null hypothesis.

Since the P-value > α, we reject the null hypothesis.    

Since the P-value ≤ α, we reject the null hypothesis.

Since the P-value ≤ α, we fail to reject the null hypothesis.

(e) Interpret your conclusion in the context of the application.

At the 1% level of significance, there is insufficient evidence to conclude that the variance of the duration times of the tranquilizer is larger than stated in the journal.

At the 1% level of significance, there is sufficient evidence to conclude that the variance of the duration times of the tranquilizer is larger than stated in the journal.    

(f) Find the requested confidence interval for the population standard deviation. (Round your answers to two decimal place.)

Interpret the results in the context of the application.

We are 95% confident that σ lies above this interval.

We are 95% confident that σ lies outside this interval.    

We are 95% confident that σ lies below this interval.

We are 95% confident that σ lies within this interval.

Begin this discussion by first stating your intended future career. Then give an example of a proportion that applies to two Populations for which you would like to do a Hypothesis Test in your future career. In your Hypothesis Test you will be testing the difference between these two Population proportions. Your discussion MUST include for the two target Populations along with the Population characteristic that your proportion is measuring. As shown in the text your Null and Alternative Hypotheses MUST include a symbol for each of the two Population Proportions along with the relational operator that describes the difference being tested between these two parameters as stated in your discussion.

hello i wanted to know the process for finding the z value when area is given and also vice versa using spss software

Problem 16-05 (Algorithmic)

A major traffic problem in the Greater Cincinnati area involves traffic attempting to cross the Ohio River from Cincinnati to Kentucky using Interstate 75. Let us assume that the probability of no traffic delay in one period, given no traffic delay in the preceding period, is 0.8 and that the probability of finding a traffic delay in one period, given a delay in the preceding period, is 0.65. Traffic is classified as having either a delay or a no-delay state, and the period considered is 30 minutes.

1. Assume that you are a motorist entering the traffic system and receive a radio report of a traffic delay. What is the probability that for the next 60 minutes (two time periods) the system will be in the delay state? Note that this result is the probability of being in the delay state for two consecutive periods. If required, round your answer to three decimal places.
   
   
   
2. What is the probability that in the long run the traffic will not be in the delay state? If required, round your answers to three decimal places.
   
   
   
3. An important assumption of the Markov process model presented here has been the constant or stationary transition probabilities as the system operates in the future. Do you believe this assumption should be questioned for this traffic problem? Explain.
   
   The input in the box below will not be graded, but may be reviewed and considered by your instructor.
   

Statistics indicate that 4% of males and 0.3% of females are color-blind.Assume thata population is half female.What is the probability that a randomly selected person isfemale, given that the person is color-blind?

1. The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of a specialty pet food. Data are collected from a random sample of 8 equal-sized stores, with the following results:

Use Excel to find the regression results for this problem. Include Excel results with your submission.

a. at the 0.05 level of significance, is there evidence of a linear relationship between shelf space and weekly sales?

b. construct a 95% confidence interval estimate of the population slope, β₁.

A manufacturer of electronic components is interested in determining the lifetime of a certain type of battery. A sample, in hours of life, is as follows 123, 116, 122, 110, 175, 126, 125, 111, 118, 117.

Calculate:  Sample Mean, Sample Median, 20% trimmed Mean, Quartiles: Q1, Q2 and Q3

 Interquartile range: IQR = Q3 –Q1 , Lower bound = Q1 - 1.5(Q3 - Q1), Upper bound = Q3 + 1.5(Q3 - Q1).

 Maximum, Minimum, Range = Max – Min, Sample Variance, Sample Standard deviation.  Stem and leaf, Dot plot.

Kolbe, product manager for a line of shoes, is wondering whether to introduce his product line into a new market area. A recent survey of a random sample of 500 households in that market showed a mean household income of $34,000 with a standard deviation of $2,000. On the basis of past experience and of comprehensive studies in current market areas, Kolbe believes the product line will be profitable only in markets where the mean household income (across all households) is greater than $30,000. Should Kolbe introduce the product line into the new market?

Respond to the following in a minimum of 175 words:

This week, we consider how to conduct hypotheses test on one sample data. Discuss the concepts associated with these tests. Consider the following:

The difference between a one tail and a two tailed test.

The importance of stating the null and alternative hypotheses before conducting the test.

The importance of a type one error (p) in conducting the test  

The relationship between the p value and our decision to accept or reject the null hypothesis

Suppose that an airline knows that there is a 95% chance that a passenger for a commuter flight that will hold 189 passengers will show up, and assumes that passengers arrive independently of one another. The airline decides to sell 199 tickets in order to reduce the number of empty seats, expecting 5% of the passengers not to show up.Let X be a random variable that represents the number of people who show up for the flight. Let Y = X –189 be a random variable representing the difference between the number of passengers who show up and the number of seats on the plane.a. Calculate E(X), Var(X), E(Y), and Var(Y).Justify your calculations by stating the type of distribution for X and Y. b.Calculate P(Y > 0). How do you feel about the airline’s decision to sell 199 tickets? c.The airline is conducting a review of their policies. They do not want the bad public relations that go along with having passengers with tickets not getting a seat. They have decided to hire you as a consultant to help give them advice. After some investigating, you have determined that as long as they have enough seats for passengers with tickets 98% of the time, they are willing to accept the risk.What is the largest value of n so that P(Y > 0) ≤0.02?

A Relaxin receptor agonist drug (RRA01) for the acute heart failure treatment is developed by the Sunny Pharmaceutical Company. It is a publicly traded company. The reduction of cardiovascular death (mortality) was used as the end point (results of the research) for this investigation. The null hypothesis is “there is no difference in the cardiovascular mortality reduction between patients who received RRA01 (treatment group) and those who did not receive RRA01 (control group). Discuss the impact (on the company and/or on the patients) of the following two possible clinical trial results to the Sunny Pharmaceutical Company, staff of the company, and the patients. 1. p = 0.002 as the hypothesis test results 2. p = 0.3 as the hypothesis test results.

A property and casualty insurance company (which provides fire coverage for dwellings) felt that the mean distance from a home to the nearest fire department in rural Alabama was at least 10 miles. It set its fire insurance rates accordingly. Members of the community set out to show that the mean distance was less than 10 miles due to the increased number of volunteer fire departments. This, they felt, would convince the insurance company to lower its rates. They randomly identify 64 homes and measure the distance to the nearest fire department for each. The resulting sample mean was 8.7 miles. If σ = 3.5 miles, does the sample show sufficient evidence to support the community’s claim? Use the four step process for Hypothesis Testing.

Step 1 – State Hypothesis in context of the problem.

Step 2 – Gather data, check assumptions, and find rejection region using α.

Step 3 – Calculate the appropriate test statistic and p-value.

Step 4 – State conclusion in context of the problem.

If you were given a large data set, such as the sales over the last year of our top 100 customers, what might you be able to do with these data? What might be the benefits of describing the data?