A new muscle relaxant is available. Researchers from the firm developing the relaxant have done studies that indicate that the time lapse between administration of the drug and beginning effects of the drug is normally distributed, with mean μ = 38 minutes and standard deviation σ = 5 minutes. (b) The drug is administered to a random sample of 10 patients. What is the probability that the average time before it is effective for all 10 patients is 35 minutes or less? (Round your answer to four decimal places.) (c) Comment on the differences of the results in parts (a) and (b). The probability in part (b) is ___ part (a) because the ___ is ___ for the x distribution.

Q: In a recent study, the Centers for Disease Control and Prevention reported that the diastolic blood…

A: Solution: Let X be the diastolic blood pressure of adult men. From the given information, X follows…

Q: Neil is a drummer who purchases his drumsticks online. When practicing with the newest pair, he…

A: We have given that.X~N( μ , ?^2 )μ=2.00 , ?=0.19Z-score =( x - μ )/?

Q: A study by Hershey's indicated that Americans consumed an average of 12.4 pounds of chocolate per…

A: Given that  X~N( μ = 12.4 , ? = 3.9) μ = 12.4 , ? = 3.9 Z-score =( x - μ )/?

Q: A consumer organization inspecting new cars found that many had appearance defects (dents,…

A: Obtain the expected number of appearance defects in a new car. The expected number of appearance…

Q: In a recent year, 11th grade New York public school students taking an English test produced test…

A:

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: GivenMean(μ)=1.8standard deviation(σ)=0.95sample size(n)=50

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: We want to find the probability of sample mean is 1.77 or more  P(x̄≥1.77)

Q: A study is done on butterflies.  As with most lifespans this is normally distributed.  It has a mean…

A:

Q: The P-value for this hypothesis was found to be:

A: The test statistic is, z=x¯-μσn=78-682025=104=2.5 The test statistic is 2.5.

Q: The time it takes for a statistics professor to mark a single midterm test is normally distributed…

A: n = 55

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A:

Q: differences between male and female students. Based on the study results, we can assume the…

A: Here it is given that - Population mean (μ) = 3.5 Population standard deviation (σ) = 0.5 Total…

Q: A research study investigated differences between male and female students. Based on the study…

A: From the provided information, Population mean for the GPA of male students (µ) = 3.5 Population…

Q: The time it takes for a statistics professor to mark  a single midterm test is normally distributed…

A: From the provided information,

Q: If a random variable has a normal distribution with mean 77.5 and standard deviation 12.4 find the…

A: From the provided information, Mean (µ) = 77.5 Standard deviation (σ) = 12.4 X~N (77.5, 12.4)

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: We have to find out given probability..

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A:

Q: According to a study done by UCB students, the height for Martian adult males is normally…

A: Find the probability that the person is between 65.1 and 66.4 inches? Let X = height of the…

Q: Marco runs a small dairy farm that also processes milk products on-site. One popular product…

A: a) Empirical rule: The probability of the observation lies within 1 standard deviation of the mean,…

Q: deviation is σ = 0.9 oz (based on the sample results),find the probability that a sample of 36 cans…

A: It is given that x̄ = 12.29 ozμ = 12.00 ozσ = 0.9 ozn = 36

Q: The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was…

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

Q: High blood pressure has been identified as a risk factor for heart attacks and strokes. The National…

A: Given data: p = 0.3 n = 38

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: To find: what is the probability that the mean weight loss after one week on this pill for a random…

Q: The cost of 5 gallons of ice cream has a variance of 36 with a mean of 31 dollars during the summer.…

A: Given,sample size(n)=39standard deviation(σ)=36=6mean(μ)=31

Q: IUSS pill advertises that people who use the pill lose, after one week, an average (mean) of 1.8…

A: We have given that  X~N( μ , ?^2 )   Z-score =( x - μ )/?

Q: The average person spends a mean amount of $10.20 on coffee per week. You are interested to test if…

A: Given that   x̄ = 12.41 ,  μ = 10.20 , s = 5.25 , n= 31

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A:

Q: use a ti84 device to solve The quality control manager at a computer manufacturing company believes…

A: From given data we have : Population mean is μ=97 Population standard deviation  (variance…

Q: In a study of the health effects of cigarettes, a random sample of 32 filtered cigarettes was…

A:

Q: You have just started a coffee stand at the Saturday Market, and you prepare fresh brewed coffee…

A: Mean =10, standard deviations=sd=1.2

Q: While checking receipts at Reds, it was determined that the average amount spent on food per table…

A:

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: Given that mean =1.85,s.d =1.02,n=55,x bar =1.88

Q: A consumer organization inspecting new cars found that many had appearance defects (dents,…

A: Assume that X is a random variable defined as the number of defects that appear on the new car.…

Q: The mean and standard deviation of a random variable x are ) and 4 respectively. Find the mean and…

A: Given,mean(μ)=E(X)=0standard deviation(σ)=4variance =σ2=(V(X))=16

Q: In a recent year, 11th grade New York public school students taking an English test produced test…

A: The mean is 84 and standard deviation is 7.2.

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.