9. A particular brand of coffee contains an average of 112 mg of caffeine per cup with a standard deviation of 20 mg. You want to investigate the same to estimate if the true population mean of caffeine content is correct within 5 mg adopting 98% confidence. How many cups of the same brand of coffee should you have for your sample?

Q: One prominent physician claims that 80% of those with lung cancer are chain smokers. Compute the…

A: Here, we can consider that it is Binomial distribution because  80% of people has lung cancer and…

Q: Suppose that the distribution of touchdowns (in football) is normally distributed with a mean of 250…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Brewed decaffeinated coffee contains some caffeine. VWe want to estimate the amount of caffeine in 8…

A: Obtain the 90% confidence interval for the population mean.   The 90% confidence interval for the…

Q: Psychological and educational tests, including MMPI are often designed so they have a mean of 50 and…

A: Given that  They have a mean of 50 and a standard deviation of 10.

Q: Consider a sample with a mean of 500 and a standard deviation of 100. What are the z-scores for the…

A:

Q: Assume that body temperatures of healthy adults are normally distributed with a mean of 98.2 and a…

A: From the given information X follows normal distribution with mean µ = 98.2 standard deviation σ =…

Q: Given the mean of a normally distributed data set is 25, with  standard deviation of 5, what percent…

A: We will standardize the normal variable and then use standard Normal table to find the required.

Q: Almost all medical schools require applicants to take the Medical College Admission Test (MCAT).  To…

A: It is given that the mean is 25 and the standard deviation is 6.5.

Q: A particular fruit's weights are normally distributed, with a mean of 659 grams and a standard…

A: From the provided information, Mean (µ) = 659 grams Standard deviation (σ) = 7 grams Let X be a…

Q: The honors program at Brads University only except students with an entrance score exam over 400.…

A:

Q: Assume that the heights of women are normally distributed with a mean of 65.4 inches and a standard…

A: We have given that  Mean=μ=65.4 Standard deviation=σ=2.7 X~Normal(μ=65.4,σ=2.7)

Q: A particular fruit's weights are normally distributed, with a mean of 621 grams and a standard…

A: It is given that the fruits weights follow normal distribution with mean 621 and standard deviation…

Q: If you have a population standard deviation of 10 and a sample size of 4, what is your standard…

A: Given,population standard deviation(σ)=10sample size(n)=4

Q: Do students who are members of fraternities or sororities have GPAS alfferent from the student body…

A: μ=2.59,s=0.34,x¯=2.47,n=123Decision rule: When p value< level of signicance,then reject the null…

Q: What is the equation for The standard deviation of the distribution of sample proportions

A: Let p be the population proportion of successes.

Q: The MF exam has a population mean of 500 and a standard deviation of 200. What are the scores for…

A: Let X=MF exam scores We have given information, The population mean μ=500 And population standard…

Q: The director of research and development is testing a new medicine. She wants to know if there is…

A: Assume that μ is the true average time the medicine relives pain.

Q: In a standardized exam the mean score is 400 with a standard deviation of 50. If a random sample of…

A: Given that  μ= 400 , σ= 50 , n = 25

Q: Suppose a new drug is intended to improve walking distance in patients with Parkinson’s Disease. A…

A: The researcher measures patients’ walking distance in feet before and after trying the drug for 9…

Q: What is the SD of a distribution if the mean is 4.5 and a z score of 3.5 corresponds to a raw score…

A: GIVEN DATA, μ=4.5z score =3.5raw score =x=15standard deviation =σ=?

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:

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.