##### 5.1 Combination and permutation a) 5C2 b) 5! c) Five different drugs, A, B, C, D,...

5.1 Combination and permutation

a) 5C2

b) 5!

c) Five different drugs, A, B, C, D, and E, can be used to treat a disease in different combinations. If a physician uses two of them to treat patients, how many combinations are possible? List all such combinations.

d) Four different exercises, A, B, C, and D, are recommended for an injury recover therapy program. The therapists want to know whether there is a different treatment effect using i) just one; ii) any two; or iii) any three of the therapies. How many treatment regimens can a therapist choose from? What are they?

e) If the order matters in d), if therapists were to select two exercises out of four, how many treatment options would the therapists have? What are they?

In: Math

##### A hospital outpatient clinic performs four types of operations. The profit per operation, as well as...

A hospital outpatient clinic performs four types of operations. The profit per operation, as well as the minutes of X-ray time and laboratory time used, are given in the table below. The clinic has 500 private rooms and 500 intensive care rooms. Type 1 and type 2 operations require a patient to stay in an intensive care room for one day, whereas type 3 and type 4 operations require a patient to stay in a private room for one day. Each day, the hospital is required to perform at least 100 operations of each type. The hospital has set the following goals (listed in order of priority):

In: Math

##### A researcher claims the mean age of residents of a small town is more than 38...

A researcher claims the mean age of residents of a small town is more than 38 years. The age (in years) of a random sample of 30 sutdents are listed below. At alpha=0.10, is there enough evidence to support the researcher's claim? assum the population standard deviation is 9 years.

Ages (in years)
41
33
47
31
26
39
19
25
23
31
39
36
41
28
33
41
44
40
30
29
46
42
53
21
29
43
46
39
35
33
42
35
43
35
24
21
29
24
25
85
56
82
87
72
31
53
31
33
54
60
31
81
32
40
26
52
37
71

a) Identify the claim and state Ho and Ha
(b) Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed and whether to use a z-test, a t-test, or a chi-square test. Explain your reasoning
(c)Choose one of the options Option 1: Find the critical value(s), identify the rejection region(s), and find the appropriate standardized test statistic. Option 2: Find the appropriate standardized test statistic and the P-value
(d) Decide whether to reject or fail to reject the null hypothesis
(e) Interpret the decision in the context of the original claim.

In: Math

##### a Sports psychologist wants to know if weight training leads to more positive mood. To assess...

a Sports psychologist wants to know if weight training leads to more positive mood. To assess the effects of weight training on the mood, she obtain a sample of 10 people who had never trained and measured their mood. She then instructed them proper weight training techniques and had him follow a training program for one month. At the end of the month the participants mood was measured again. The mood scale was scored such that higher numbers will indicate more positive mood.

1) what ate the one-tailed NULL hypotheses fir this statistical analysis?

a) participant will NOT report less positive mood after weight training and then prior to weight training

b) participant will NOT report more positive mood after weight training then fire to weight training

c) participant will report less positive move after weight training and then prior to weight training

d) participant will report more positive mood after weight training then Peyer to weight training

2) what are one-tailed reseach hyptheses for stayistical analysis?

a) participant will NOT report less positive mood after weight training and then prior to weight training

b) participant will NOT report more positive mood after weight training then fire to weight training

c) participant will report less positive move after weight training and then prior to weight training

d) participant will report more positive mood after weight training then Peyer to weight training

In: Math

##### The average number of acres burned by fires in New Mexico County is assumed to be...

The average number of acres burned by fires in New Mexico County is assumed to be normally distributed with a mean of 9000 and a standard deviation of 695 acres. You are told that the probability of the number of acres burned between 9350-R and 9350+R is .7802. Find R. (Hint: Draw a picture to see the area along with the given probability. Can Goal-Seek or trial and error help you find the value of R?)

How would I solve for R using goal seek in excel

In: Math

##### A state legislator wishes to survey residents of her district to see what proportion of the...

A state legislator wishes to survey residents of her district to see what proportion of the electorate is aware of her position on using state funds to pay for abortions. (Round your answers up to the nearest integer.)

(a) What sample size is necessary if the 95% CI for p is to have a width of at most 0.12 irrespective of p?

(b) If the legislator has strong reason to believe that at least 3/4 of the electorate know of her position, how large a sample size would you recommend to maintain a width of at most 0.12?

In: Math

##### Overproduction of uric acid in the body can be an indication of cell breakdown. This may...

Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma.† Over a period of months, an adult male patient has taken ten blood tests for uric acid. The mean concentration was x = 5.35 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with σ = 1.87 mg/dl.

(a) Find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. What is the margin of error? (Round your answers to two decimal places.)

 lower limit= upper limit= margin of error=

(b) What conditions are necessary for your calculations? (Select all that apply.)

uniform distribution of uric acid

σ is known

σ is unknown

n is large

normal distribution of uric acid

(c) Interpret your results in the context of this problem:

There is a 5% chance that the confidence interval is one of the intervals containing the population average uric acid level for this patient.

There is a 95% chance that the confidence interval is one of the intervals containing the population average uric acid level for this patient.

The probability that this interval contains the true average uric acid level for this patient is 0.05.

The probability that this interval contains the true average uric acid level for this patient is 0.95.There is not enough information to make an interpretation.

(d) Find the sample size necessary for a 95% confidence level with maximal margin of error E = 1.20 for the mean concentration of uric acid in this patient's blood. (Round your answer up to the nearest whole number.)
_____blood tests

In: Math

##### A communication system consists of n antennas of which m are defective and n − m...

A communication system consists of n antennas of which m are defective and n − m are functional. Suppose the n antennas are indistinguishable and are lined up in a linear array. The system is called functional as long as no two consecutive antennas are defective. Suppose we randomly line up the n antennas. What is the probability that the resulting system will be functional?

In: Math

##### A simple random sample of size n is drawn from a population that is normally distributed....

A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean,

x overbarx​,

is found to be

109109​,

and the sample standard​ deviation, s, is found to be

1010.

​(a) Construct

aa

9090​%

muμ

if the sample​ size, n, is

1515.

​(b) Construct

aa

9090​%

muμ

if the sample​ size, n, is

2626.

​(c) Construct

aa

9898​%

muμ

if the sample​ size, n, is

1515.

​(d) Could we have computed the confidence intervals in parts​ (a)-(c) if the population had not been normally​ distributed?

In: Math

##### A psychology professor assigns letter grades on a test according to the following scheme. A: Top...

A psychology professor assigns letter grades on a test according to the following scheme.

A: Top 10%of scores

B: Scores below the top 10%and above the bottom 55%

C: Scores below the top 45%and above the bottom 20%

D: Scores below the top 80%and above the bottom 7%

F: Bottom 7%of scores

Scores on the test are normally distributed with a mean of 67.6and a standard deviation of 9. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.

In: Math

##### A television documentary on overeating claimed that Americans are about 10 pounds over-weight on average. To...

A television documentary on overeating claimed that Americans are about 10 pounds over-weight on average. To test this claim, eighteen randomly selected individuals were examined; their average excess weight was found to be 12.4 pounds, and the sample standard deviation was 2.7 pounds. At a significance of 0.01, is there any reason to doubt the validity of the claimed 10-pound value?

In: Math

##### Suppose you are interested in whether the GPAs of college athletes are significantly different from the...

Suppose you are interested in whether the GPAs of college athletes are significantly different from the GPAs of the college athlete population. To investigate this, you obtain a random sample of academic records of 5 athletes and compare their GPA to the known student population.

 Student Athletes Entire Student Population Mean = 3.02 Mean = 2.8 s = .8

Using an alpha = .05, what is your alternative/research hypothesis?

In: Math

##### The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm...

The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a standard deviation of 8.9 cm.

a. Find the probability that an individual distance is greater than 211.80 cm.

b. Find the probability that the mean for 20 randomly selected distances is greater than 200.70 cm.

c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

In: Math