Explain

Null and Alternative Hypotheses

Hypothesis Tests for Differences between Population Means

Hypothesis Test for Equal Population Variances

Hypothesis Tests for Differences between Population Proportions

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Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2800 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3000 grams and a standard deviation of 485 grams. If a 33​-week gestation period baby weighs 2575 grams and a 41​-week gestation period baby weighs 2775 ​grams, find the corresponding​ z-scores. Which baby weighs less relative to the gestation​ period?

The baby born in week __ weighs relatively less since it's z-score, __, is larger/smaller than the z- score of __ for the baby worn in week __.

A telephone company claims that the service calls which they receive are equally distributed among the five working days of the week. A survey of 79 randomly selected service calls was conducted. Is there enough evidence to refute the telephone company's claim that the number of service calls does not change from day-to-day?

Step 1 of 10 : State the null and alternative hypothesis.

Step 2 of 10 : What does the null hypothesis indicate about the proportions of service calls received each day?

Step 3 of 10 : State the null and alternative hypothesis in terms of the expected proportions for each category.

Step 4 of 10 : Find the expected value for the number of service calls received on Monday. Round your answer to two decimal places.

Step 5 of 10 : Find the expected value for the number of service calls received on Thursday. Round your answer to two decimal places.

Step 6 of 10 : Find the value of the test statistic. Round your answer to three decimal places.

Step 7 of 10 : Find the degrees of freedom associated with the test statistic for this problem.

Step 8 of 10 : Find the critical value of the test at the 0.005 level of significance. Round your answer to three decimal places.

Step 9 of 10 : Make the decision to reject or fail to reject the null hypothesis at the 0.005

level of significance.

Step 10 of 10 : State the conclusion of the hypothesis test at the 0.005 level of significance.

Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female deer (does) in December in a national park. Then x has a distribution that is approximately normal with mean μ = 60.0 kg and standard deviation σ = 8.6 kg. Suppose a doe that weighs less than 51 kg is considered undernourished.

(a) What is the probability that a single doe captured (weighed and released) at random in December is undernourished? (Round your answer to four decimal places.)


(b) If the park has about 2900 does, what number do you expect to be undernourished in December? (Round your answer to the nearest whole number.)
does

(c) To estimate the health of the December doe population, park rangers use the rule that the average weight of n = 65 does should be more than 57 kg. If the average weight is less than 57 kg, it is thought that the entire population of does might be undernourished. What is the probability that the average weight x for a random sample of 65 does is less than 57 kg (assuming a healthy population)? (Round your answer to four decimal places.)


(d) Compute the probability that x< 61 kg for 65 does (assume a healthy population). (Round your answer to four decimal places.)


Suppose park rangers captured, weighed, and released 65 does in December, and the average weight was x= 61 kg. Do you think the doe population is undernourished or not? Explain.

Since the sample average is above the mean, it is quite likely that the doe population is undernourished.

Since the sample average is above the mean, it is quite unlikely that the doe population is undernourished.    

Since the sample average is below the mean, it is quite likely that the doe population is undernourished.

Since the sample average is below the mean, it is quite unlikely that the doe population is undernourished.

An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 120 engines and the mean pressure was 7.1 lbs/square inch. Assume the variance is known to be 0.81. If the valve was designed to produce a mean pressure of 7.3lbs/square inch, is there sufficient evidence at the 0.1 level that the valve performs below the specifications?

State the null and alternative hypotheses for the above scenario.

What does the sigma level capability mean for a process? Explain at least two reasons for the importance of achieving six-sigma capability.

Fully describe a situation where you believe a statistical correlation or regression would be of interest and describe the study and how linear correlation or regression would further the aims of the study.

Define each of the following terms and describe how the healthcare administrator uses each of them in quantitative analysis:

a.   Estimation

b.   Sampling

c.   Organizing data

d.   Presenting data

e.   Interpreting results

Using the data set (link below), please calculate a one-way chi-square tests for President Obama approval rating for the first years in office. Specifically run chi-square on the "Approving" column.

This is the information provided.

The personnel department of a large corporation wants to estimate the family dental expenses of its employees to determine the feasibility of providing a dental insurance plan. A random sample of 12 employees in 2004 reveals the following dental expenses (in dollars): 115, 370, 250, 93, 540, 225, 177, 425, 318, 182, 275, and 228. The sample mean is ___________. Construct a 95% confidence interval estimate of the mean family dental expenses for all employees of this corporation. The upper boundary/limit is _________ and the lower boundary/limit is ________. (keep two decimal points).

Using the data set (link below), please calculate a one-way chi-square tests for President Bush approval rating for the first years in office. Specifically run chi-square on the "Approving" column.

This is the information provided.

Annie and Alvie have agreed to meet between 5:00 P.M. and 6:00 P.M. for dinner at a local health-food restaurant. Let X = Annie's arrival time and Y = Alvie's arrival time. Suppose X and Y are independent with each uniformly distributed on the interval [5, 6]. (a) What is the joint pdf of X and Y? f(x,y) = Correct: Your answer is correct. 5 ≤ x ≤ 6, 5 ≤ y ≤ 6 Correct: Your answer is correct. otherwise (b) What is the probability that they both arrive between 5:30 and 5:45? (c) If the first one to arrive will wait only 20 min before leaving to eat elsewhere, what is the probability that they have dinner at the health-food restaurant? [Hint: The event of interest is A = (x, y): |x − y| ≤ 1/3 . ] (Round your answer to three decimal places.)

Question
Sampling is the process of selecting a representative subset of observations from a population to determine characteristics (i.e. the population parameters) of the random variable under study. Probability sampling includes all selection methods where the observations to be included in a sample have been selected on a purely random basis from the population. Briefly explain FIVE (5) types of probability sampling.

You have a bag of 10 marbles that has 6 blue ones and 4 red ones.

1.What is the probability of selecting one blue marble?

A university would like to examine the relationship between a faculty​ member's performance rating​ (measured on a scale of​ 1-20) and his or her annual salary increase. The table to the right shows these data for eight randomly selected faculty members. Construct a 90​% confidence interval for the regression slope. minus Rating minus Increase Rating minus Increase

17 ​$2300

15 ​$2100

18 ​$2500

15 ​$2600

12 ​$1700

16 ​$2100

12 ​$1700

15 ​$1900

Construct a 90​% confidence interval for the slope.

LCL= ?and UCL= ?