The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.05 level that the medicine relieves pain in more than 365 seconds. For a sample of 47 patients, the mean time in which the medicine relieved pain was 370 seconds. Assume the population standard deviation is 25. Find the P-value of the test statistic.

Q: On a statistics exam, the mean score was 80 and there was a standard deviation of 7. If a student's…

A: Given data, μ=80σ=7If x=92z=?

Q: What is the corresponding Z- score, mean is 110, standard deviation is 8 and x is 90

A: In question, We'll find the Z - score for mean 110, standard deviation 8 and x = 90. The solution is…

Q: On a standardized test with normal distribution, the mean is 85 and the standard deviation is 3.…

A: If 95% lies in the middle then (100-95)%=5% are on the two tails. So one tail has = 5%2=2.5%=0.025z…

Q: The mean for a data set is 75, the standard deviation is 4, and the z score is -0.19, what is the…

A: We have given that,  From the normal distribution with mean (mu) = 75 and standard deviation (sigma)…

Q: The mean of a population (μ) is 120 and the standard deviation is 20.  What is the mean of the…

A: From the provided information, Mean (µ) = 120 Standard deviation (σ) = 20

Q: An advertising agency has stated that 20% of all television viewers watch a particular program. How…

A: From the provided information, An advertising agency has stated that 20% of all television viewers…

Q: For a sample of 18 cars, you find the standard deviation of the price is 6150 (measured in dollars).…

A: Given that, Sample size of cars n=18 Standard deviation of the price s=6150

Q: A sociologist found that in a sample of 50 retired men, the average number of jobs they had during…

A: Given that  Sample size=50 , Mean=6.9 Population Standard deviation=2.3

Q: A nutritionist claims that the mean tuna consumption by a person is 3.1 pounds per year. A sample…

A: Solution: Let X be the tuna consumption by a person. From the given information, n=90, x-bar=2.9 and…

Q: On a final examination in Biology, the mean was 75 and the standard deviation was 12. What is the…

A: Given problem Given that   On a final examination in Biology,  The mean was = μ = 75 The standard…

Q: In a recent study of 35 Grade5 students, the mean number of hours per week that they played video…

A: We know that,  Sample size (n) = 35, sample mean (x̄) = 16.6 and population standard deviation (σ) =…

Q: On a final exam, the mean mark was 68% and the standard deviation was 12%. If John’s mark was 36%…

A: Given that on a final exam, the mean mark was 68% and the standard deviation was 12%. If John’s mark…

Q: A large retailer wants to determine whether the mean income of families living within two miles of a…

A: Denote μ as the population mean income of families living within two miles of proposed building…

Q: For a random sample of 40 students, the average statistics midterm score is 73 points (out of a…

A: The sample size is 40, average statistics midterm score is 73 points, and standard deviation is 7.3.

Q: What is the difference between what the z score measures and what the standard deviation measure?

A: z score is standard score and the formula for finding z score is,

Q: For a population with a standard deviation of σ = 5, what is the z-score corresponding to a score…

A: We have to find z score..

Q: In a normally distributed data set of how long customers stay in your store, the mean is 43.5…

A: Given data Mean μ = 43.5 Standard deviation σ = 3.9 95% of your customers to stay in your store.…

Q: Find the Mean and Standard Deviation for the prompts below: A survey found that 21% of Americans…

A: Binomial Distribution :  A binomial distribution is a specific probability distribution. It is used…

Q: Nationally, the per capita monthly fuel oil bill is $110. A random sample of 36 cities in the…

A: Let μ denotes the population mean per capita monthly fuel oil bill. The national per capita monthly…

Q: The mean score on the SAT in 2017 was 1060, and the standard deviation was 195. Assume the scores…

A: Given,  Mean μ=1060  Standard deviation σ=195Let x be score of a randomly selected person

Q: he History test had a national mean of µ = 52 and a standard deviation of  σ= 9. How much sampling…

A: Given data, µ = 52  σ= 9 n=27 sampling error=?

Q: The cold medicine Dozenal bears a label indicating the presence of 600 mg. of acetaminophen in each…

A: We want to test the hypothesis

Q: The percent fo Coloradans that own a Subaru is 56%. If you were to take a random sample of size 70,…

A: We have given that,  Let X be the random variable from binomial distribution with probability (p) =…

Q: A nutritionist claims that the mean tuna consumption by a person is 3.5 pounds per year. A sample of…

A:

Q: A consultant wants to estimate the average income of all the baby boomers in NYC. From prior…

A:

Q: A recent study found that 69% of all adults over 50 wear sunglasses for driving. In a random sample…

A: Formula : Mean = np Standard Deviation  :

Q: Given a distribution with a mean of 117 and standard deviation of 42, find a value with a z-score of…

A: Consider that X is a random variable and the given distribution follows normal distribution mean 117…

Q: In a survey, 35 people were asked how much they spent on their child's last birthday gift. The…

A: Confidence interval is a concept closely related to interval estimation. Confidence interval is…

Q: Describe  the scores in a sample  that has a standard  deviation of zero

A: If the standard deviation is zero there will be no dispersion of scores from the Mean. It means that…

Q: The local police force gives all applicants an entrance exam and accepts only those applicants who…

A: The score that corresponds to the top 15% is, The Z-score that corresponds to the area 0.85 is…

Q: A nutritionist claims that the mean tuna consumption by a person is 3.3 pounds per year. A sample of…

A: (a) Let μ denotes the population mean tuna consumption. The claim of the test is that the mean tuna…

Q: The distribution of the number of viewers for the American Idol television show follows a normal…

A:

Q: Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean…

A: The detailed solution is as follows below:

Q: A successful basketball player has a height of 6 feet 77​inches, or 201201 cm. Based on statistics…

A: Given information- Height of a player = 201 cm Z-score = 3.743 We know that standard height is given…

Q: A biologist found the wingspans of a group of monarch butterflies to be normally distributed, with a…

A: Given,Mean (μ) = 52.2Standard deviation (σ) = 2.3a) Required probability is…

Q: According to Chebyshev's Teorem, at least what percentage of snake lengths are within K= 2.9…

A: The Chebyshev’s rule states that, for any quantitative data set and any real number greater than k,…

Q: The annual per capita consumption of bottled water was 33.3 gallons. Assume that the per capita…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: A nutritionist claims that the mean tuna consumption by a person is 3.6 pounds per year. A sample…

A: Given that  Claim :  Mean tuna consumption by a person is 3.6 pounds per year Sample size (n) = 90…

Q: If a normally distributed group of test scores have a mean of 70 and a standard deviation of 12,…

A: It is given that the mean is 70 and the standard deviation is 12.

Q: A nutritionist claims that the mean tuna consumption by a person is 3.5 pounds per year. A sample of…

A: (a) Let μ is defined as the population mean tuna consumption by a person. The claim of the test is…

Q: A researcher in Des Moines, Iowa sampled 56 households and found the mean number of puppies per…

A: # sample size n=56  population mean mu=3.03  standard deviations=1.5  then to find 62nd percentile…

Q: The mean height of male college students in a large city is 68 inches and the standard deviation is…

A: Answer:----.                       Date:----10/10/2021

Q: Find the Mean and Standard Deviation for the prompts below: 5.)  A survey found that 86% of…

A: 5. Given: p=0.86n=121-p=0.14 The probability that 10 or more would have never been the victim of a…

Q: The mean salary of all employees in a company is $3,485, and the standard deviation is $1,870. Find…

A:

Q: A successful basketball player has a height of 6 feet 3 ​inches, or 191 cm. Based on statistics from…

A: Given,a basketball player has a height of 6 feet 3 inchesand the Z-score =2.31

Q: A travel analyst claims that the mean price of a round trip flight from New York City to Los Angeles…

A: Solution:

Q: A mean of 200 and a standard deviation of 50. Find P60, the score which separates the lower 60% form…

A:

Q: The scores for all high school seniors taking the verbal section of the Scholastic Aptitude Test…

A: Given distribution is bell shaped. In bell shaped distribution mean, median and mode are equal.…

Q: recent study found that 61 children who watched a commercial for potato chips featuring a celebrity…

A:

Q: If the mean of a set score is 65 and the standard deviation is 15, what is the zscore of a person…

A: The z-score of a random variable x is defined as follows: z = (x – µ)/σ. Here, µ and σ are the mean…