6: Normal Distr X 3590?module_item_id%3D106056 The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 1.6 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X~ N( b. What is the median recovery time? days c. What is the Z-score for a patient that took 4.3 days to recover? d. What is the probability of spending more than 2.4 days in recovery? e. What is the probability of spending between 2.3 and 3 days in recovery? f. The 75th percentile for recovery times is days. Hint: Helpful videos: • Find a Probability [+] Finding a Value Given a Probability [+] 9:25 PM 3/22/2020

Question
6: Normal Distr X
3590?module_item_id%3D106056
The patient recovery time from a particular surgical procedure is normally
distributed with a mean of 3 days and a standard deviation of 1.6 days. Let X be the
recovery time for a randomly selected patient. Round all answers to 4 decimal
places where possible.
a. What is the distribution of X? X~ N(
b. What is the median recovery time?
days
c. What is the Z-score for a patient that took 4.3 days to recover?
d. What is the probability of spending more than 2.4 days in recovery?
e. What is the probability of spending between 2.3 and 3 days in recovery?
f. The 75th percentile for recovery times is
days.
Hint:
Helpful videos:
• Find a Probability [+]
Finding a Value Given a Probability [+]
9:25 PM
3/22/2020
Expand
Transcribed Image Text

6: Normal Distr X 3590?module_item_id%3D106056 The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 1.6 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X~ N( b. What is the median recovery time? days c. What is the Z-score for a patient that took 4.3 days to recover? d. What is the probability of spending more than 2.4 days in recovery? e. What is the probability of spending between 2.3 and 3 days in recovery? f. The 75th percentile for recovery times is days. Hint: Helpful videos: • Find a Probability [+] Finding a Value Given a Probability [+] 9:25 PM 3/22/2020

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Given that the population standard deviation is 5.6, determine the minimum sample size needed in ord...

A: Click to see the answer

Q: A recipe submitted to a magazine by one of its subscribers’ states that the mean baking time for a c...

A: Click to see the answer

Q: In the Cash Now lottery game there are 13 finalists who submitted entry tickets on time. From these ...

A: There are 13 finalists in the Cash Now lottery game. Among these finalists, three winners will be se...

Q: A certain manufactured product is supposed to contain 23% potassium by weight. A sample of 10 specim...

A: Click to see the answer

Q: Researchers are investigating whether high-risk patients have strokes or not depending on which of t...

A: Click to see the answer

Q: Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took th...

A: From the provided information, Sample size (n) = 8 Sample mean (x̄) = 94 Population mean (µ) = 85 Po...

Q: A ball is drawn randomly from a jar that contains 7 red balls, 8 white balls, and 4 yellow balls. Fi...

A: a.   The probability that the red ball is drawn is 0.3684 and it is obtained below:   From the given...

Q: Can you please solve question and show the steps

A: Click to see the answer

Q: 15. Express Courier Service has found that the delivery time for packages is normally distributed, w...

A: Consider X be a random variable which follows normal distribution indicates the guaranteed delivery ...

Q: 8. Assume that we want to construct a confidence interval. Do one of the​ following, as​ appropriate...

A: Click to see the answer

Q: In a sales effectiveness seminar, a group of sales representatives tried two approaches to selling a...

A: Click to see the answer

Q: A new muscle relaxant is available. Researchers from the firm developing the relaxant have done stud...

A: GivenThe time lapse between administration of the drug and beginning effects of the drug is normally...

Q: Calculate the mean and standard deviation for Mill 1 Calculate the mean and standard deviation for M...

A: Click to see the answer

Q: In 2001, one county reported that among 3132 white women who had babies, 94 were multiple births. Th...

A: The provided data is,

Q: A machine that fills cereal boxes is supposed to be calibrated so that the mean fill weight is 12 oz...

A: Click to see the answer

Q: a Multiple Choice 17-039 « Ques Exhibit 17-3 Consider the following time series: Year (t) Yi 4 4 Ref...

A: Introduction: Suppose a simple linear trend model of the form: Yi = b0 + b1t is fitted to a data, wh...

Q: Question 91

A: From the given information, Consider, Let’s assume that the level of significance is 0.05. Required...

Q: How do I calculate a 90% confidence interval for a sample mean of 15 with a sample standard deviatio...

A: Click to see the answer

Q: Blood type AB is found in only 3% of the population. If 305 people are chosen at random, find the pr...

A: Click to see the answer

Q: Suppose you are interested in testing whether the mean earnings of men in the General Social Survey ...

A: Click to see the answer

Q: You are testing the claim that the mean GPA of night students is greater than the mean GPA of day st...

A: It is assumed that the population variances are equal. The pooled variance is computed as follows:

Q: Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean ...

A: Consider X be a random variable which follows normal distribution indicates the diameter of steel bo...

Q: Before planning and conducting a study to obtain information, what should be done?

A: The activity that is done before planning and conducting a study is given below Suppose the research...

Q: Revised mpg Ratings Using the listed old/new mpg ratings, find the best predicted new mpg rating for...

A: Consider X (independent variable) be the old ratings and Y (dependent variable) be the new ratings. ...

Q: A group of people were asked if statistics teachers know the true meaning of life. 338 responded "ye...

A: Given data No of people who thinks, statistics teachers know the true meaning of life = 338 No of pe...

Q: It is thought that a new process for producing a certain chemical may be cheaper than the currently ...

A: Solution: The mean costs of the new method and old method are State the hypotheses. Null hypothesis...

Q: 25.translate "64 is m less 13.5" into an algebraic equation. Do not solve the equation. 27. Translat...

A: 25) 64 is m less 13.5 64 = m – 13.5

Q: A vendor is supplying 90 parts. Suppose that 10 of them are defective. We take a sample of size 6. A...

A: Given data Total parts supplied by Vendors = 90 No of parts are defective = 10 Sample size = 6 1) No...

Q: Assume that a simple random sample has been selected and test the given claim. Listed below are the ...

A: Solution: State the hypotheses. Null hypothesis: That is, the mean lead concentration for all medic...

Q: The number of pits in a corroded steel coupon follows a Poisson distribution with a mean of 6 pits p...

A:  "Hi! Thank you for the question! Since the question contains four subparts and we are allowed to au...

Q: A farmer's marketing cooperative recorded the volume of wheat harvested by its members from 1991-200...

A: Click to see the answer

Q: The article “Wastewater Treatment Sludge as a Raw Material for the Production of Bacillus thuringien...

A: Click to see the answer

Q: The commercial division of a real estate firm is conducting a regression analysis of the relationshi...

A: Given data The regression equation is Y=20.2+7.25X Predictor Coef SE Coef ...

Q: With Ha : p >> 88%you obtain a test statistic of z=1.255z=1.255. Find the p-value accurate to ...

A: It is given that the value of z is 1.255 and the test is right tailed.

Q: Do PivotTables have any drawbacks? How can these drawbacks they be solved?

A: Drawbacks for Pivot Tables It can be a time-consuming venture.In general, pivot tables can create ...

Q: Do you prefer taking tests on paper or online? A college instructor gave identical tests to two rand...

A: It is assumed that the population variances are equal. The null and alternative hypotheses are state...

Q: Below are the durations (in minutes) of 40 time intervals between eruptions of the geyser Old Faithf...

A: Click to see the answer

Q: Mendelian Genetics Experiments are conducted with hybrids of two types of peas. If the offspring fol...

A: Click to see the answer

Q: The commercial division of a real estate firm is conducting a regression analysis of the relationshi...

A: Click to see the answer

Q: The value under “Proportion” is a probability. Is this a theoretical or empirical probability? Justi...

A: Introduction: Theoretical probability: The theoretical probability of an event is defined as the pro...

Q: A researcher randomly selects a sample of 61 former student leaders from a list of graduates of UNCG...

A: Click to see the answer

Q: Question 92 parts A, B, and C

A: Click to see the answer

Q: 1,2 and 3

A: Solution: In the given questions it is required to determine whether the hypothesis test is left-tai...

Q: D, E, F  detailed calculations and explanations please.

A: Solution: d. Null hypothesis: That is, there is no difference in the mean annual earnings based on ...

Q: Question 83 Parts A and B

A: Solution: It is required to fill in the blanks for the given questions. (a) The hypotheses are alway...

Q: 4 and 5

A: Click to see the answer

Q: The following MINITAB output presents the results of a hypothesis test for a population mean u. Some...

A: From the given information, Thus, a) Standard deviation can be computed as: It is given that standa...

Q: 7. Given that x is a normal variable with mean μ = 48 and standard deviation σ = 6.8, find the follo...

A: We are authorized to answer one question at a time, since you have not mentioned which questions you...

Q: A particular fruit's weights are normally distributed, with a mean of 209 grams and a standard devia...

A: From the given information, A particular fruit's weights are normally distributed, with a mean of 20...

Q: The article “Wind-Uplift Capacity of Residential Wood Roof-Sheathing Panels Retrofitted with Insulat...

A: The claim is that 6-inch spacing provides a higher mean failure pressure. The hypotheses can be cons...