The patient director of Health plus clinic has just conducted a study of customer waiting time before seeing a doctor. For the study, he randomly observed 1045 patients throughout one-week. Let assume that the waiting time has an approximately normal distribution with a mean time of 22.14 and a standard deviation of 6.09. Based on this assumption, the patient director is considering providing a gift certificate to any customer required to wait more than 30 minutes.

Question

The patient director of Health plus clinic has just conducted a study of customer waiting time before seeing a doctor. For the study, he randomly observed 1045 patients throughout one-week. Let assume that the waiting time has an approximately normal distribution with a mean time of 22.14 and a standard deviation of 6.09. Based on this assumption, the patient director is considering providing a gift certificate to any customer required to wait more than 30 minutes.

1.   What is the probability of having to pay off on this offer? Suppose the patient director believes this procedure is too generous. He would like to set the time limit so that the likelihood of giving out the gift is at most only 5%.

2.  What will be the required waiting time for any customer to receive a gift certificate?

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

Other

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Suppose that the lifetimes of TV tubes are normally distributed with a standard deviation of 1.2 yea...

A: Solution: Let X be the lifetime of TV tubes. From the given information, X follows normal distributi...

Q: What is the answer?

A: a. Given that, n=700; p^=0.20 Confidence level is 90% Critical value: The two tailed z critical valu...

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey...

A: Q1)Mean = 190000Standard deviation = 34000 The distribution of X is N(190000,34000)   Q2)The mean is...

Q: You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model ...

A: From the provided information,

Q: For a confidence level of 80% with a sample size of 32, find the critical t value. Submit Question

A: Provided information is: n=32, Confidence level is 80% (1-α)=0.8 α=0.2

Q: 1. calculate the mean and standard deviation for this data set. Interpret the values you got. 2. Del...

A: X (x-xbar)^2 132 994.3511 192 810.3511 164 0.217778 111 2759.751 170 41.81778 159 20.551...

Q: An analysis of variance produces df between = 3 and df within = 24. If each treatment condition has ...

A: In ANOVA, Degrees of freedom between treatments is given by (k-1)  Where k = no. of groups. Degrees ...

Q: The profits of a City Center in Thousand R.0 per day has the following probability distribution: Pro...

A: Note:  Hey, since multiple subparts are posted, we will answer first three subparts according to our...

Q: In a survey it was found out that 60 out of 170 females and 32 out of 128 males preferred a certain ...

A: The test hypotheses are: Null hypothesis: H0: p1 = p2, that is, there is no sex difference in the pr...

Q: Gender (female or male) and handedness (right-handed or left-handed) are recorded for a randomly sel...

A: (a) The  Completed a two-way table of observed counts is as below:   Right- handed Left- handed T...

Q: 63% of U.S. adults have very little confidence in newspapers. You and (c) less than four. (a) P(5) =...

A: Let X be the random variable such that number of U.S adults who have very little confidence in newsp...

Q: Use the following sample to estimate a population mean u. 61.3 62.2 62.4 80 63.2 56.3 51.9 45.5 61.8...

A: Observation and calculation of mean and standard deviation- Sample mean, x-bar = 54.232 Sample stan...

Q: hree randomly selected households are surveyed. The numbers of people in the households are 2, 4, an...

A: The given data set is: Sample points 2, 2 2, 4 2, 12 4, 2 4, 4 4, 12 ...

Q: Please help me with the following sections: d, e, f, g, h and i  Thank you!

A: Note: Thank you for the question. Since multiple subparts are posted, according to our policy, we ar...

Q: The executives at Sandbachian, Inc., has recently solved their widget crisis, have another problem w...

A: Click to see the answer

Q: A possible important environmental determinant of lung function in children is the amount of cigaret...

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any ...

Q: As a general guideline, the research hypothesis should be stated as the O null hypothesis. tentative...

A: Null and alternative hypotheses: Null hypothesis: Null hypothesis is a statement which is tested for...

Q: (a) Formulate hypotheses that can be used to determine whether the population mean rate per 5 CCF of...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: Profit   19,449 0 42,877 13,738 17,843 87,256 41,825 7,655 20,011 51,420 53,37...

A: The descriptive analysis is conducted using EXCEL. The software procedure is given below: Enter the...

Q: About 5​% of hourly paid workers in a region earn the prevailing minimum wage or less. A grocery cha...

A: (a) Obtain the probability that Company A will get the discount. The probability that Company A will...

Q: Researchers from the University of British Columbia conducted trials to investigate the effects of c...

A: For Red Background:   sample size:nRed = 35sample mean :  x¯Red= 3.39sample standard deviation:sRed ...

Q: Thank you in Advance for quick response. Best,

A: In this case the random variable X defines the length of a jail sentence issued by a judge for simil...

Q: A study investigated survival rates for in-hospital patients who suffered cardiac arrest. Among 58,5...

A: n1=58593 , x1=11604n2=28155 , x2=4139α=0.01  

Q: Acarsalespersonestimatesthefollowingprobabilities forthenumberofcarsthatshewillsellinthenextweek:Num...

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want solution...

Q: The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean...

A: we are suppose to answer three sub parts .

Q: 1. Identify whether each of the following is a matched pairs or a two sample t-test. Justify your de...

A: a) Matched pairs t-test as we are focusing on a similar population to analyze whether reading on lig...

Q: The following table lists the percentages of space for eight magazines that contain advertisements a...

A:  

Q: The researcher rejected the null hypothesis at the 95% confidence level where F(2, 14) = 53.54, p = ...

A: F-table  / Technology can be used to find P-value. I am using Excel function, 

Q: Please solve for all parts

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case yo...

Q: Marivic is interested in the effect of playing puzzle games on academic achievement. She devised a s...

A: R-squared: It is a statistical measure that represents the proportion of the variance for a dependen...

Q: The amount of pollutants that are found in waterways near large cities is normally distributed with ...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: please answer d, e, f, g thanks

A: Given information- Population mean, μ = 12 minutes Sample size, n = 14 Sample mean, x-bar = 11.4286 ...

Q: Please answer B, C & D.

A: Denote p as the true population proportion of recidivism rate of convicted sex offenders.

Q: Assuming the population has an approximate normal distribution, if a sample size n = 11 has a sample...

A: Question 9: The sample size is 11, and sample standard deviation is 10. The confidence level is 80%....

Q: From the sample space S= {1,2,3,4,..,15}, a single number is to be selected at random. Given the fol...

A: Probability: The chance that something will happen. It is also defined as the ratio of favorable out...

Q: In examining the invoices issued by a company, an auditor finds that the dollar amounts of invoices ...

A: Click to see the answer

Q: A data set includes weights of garbage discarded in one week from 62 different households. The paire...

A: Correlation coefficient measures the strength and direction of the linear relationship between two v...

Q: You are the operations manager for an airline and you are considering a higher fare level four passe...

A: It is given that margin of error (E) is 0.04 and the confidence level is 99%.

Q: What is the answer??

A: a).Given, α=0.05n=25x=560s=45 Here, standard error is obtained as- Standard error=sn=4525=9 As per z...

Q: When the area corresponding to the critical value is in the lower tail of the sampling distribution,...

A: Given that the area corresponding to the critical value is in the lower tail of the sampling distrib...

Q: Retention Test Scores A sample of non-English majors at a selected college was used in a study to se...

A: Click to see the answer

Q: High temperature in a certain city for the month of August follow a uniform distribution over the in...

A: Given information X ~ Uniform (α = 63, β = 90)  

Q: Write the normal probability for the shaded region of the graph and find its value. Select the corre...

A: From the given graph,  n=16 p=0.55   By using the normal approximation method,  X~Nnp, np1-pX~N16×0....

Q: 2. A school keeps a record of drinks purchased from their cafeteria. The data in the table show the ...

A: Since you have asked multiple questions, so we will solve the first question for you. If you want an...

Q: About 24% of flights departing from New York's John F. Kennedy International Airport were delayed in...

A: The assumption of Binomial distribution is all the trials are independent. Here the trials are arriv...

Q: Aviation and high-altitude physiology is a specialty in the study of medicine. Let x = partial press...

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want solution...

Q: D. What would be the slope and y-intercept for a regression line based on these data? E. What wouıld...

A:   D. Regression: The regression analysis is conducted here by using EXCEL. The software procedure is...

Q: You measure 38 turtles' weights, and find they have a mean weight of 49 ounces. Assume the populatio...

A: Given information- Sample size, n = 38 Sample mean, x-bar = 49 ounces Sample standard deviation, σ =...