A study of working actors looked at age and gender. One sample of 70 male actors had a mean age of 27 and a standard deviation of 2. The other sample included 70 female actors with a mean age of 35 and a standard deviation of 3. Estimate with 94% confidence the difference between the average ages of working male (μ1μ1) and female (μ2μ2) actors. Round answers to the nearest hundredth. < μ1−μ2μ1-μ2 <

Q: The length of the thorax in a population of male fruit flies is approximately normal with mean 0.85…

A: Let X be the length of the thorax in a population of male fruit flies follows normal distribution…

Q: In measuring ignition duration, an engineer estimates that the standard deviation is 0.05 seconds.…

A: We have given that  Standard deviation = 0.05  Margin of error =E=0.01 95% confidence interval.

Q: A random sample of 1000 oranges showed that the mean amount of juice per orange was 9.5 fluid…

A: A random sample of 1000 oranges showed that the mean amount of juice per orange was 9.5 fluid…

Q: A random sample of 1000 oranges showed that the mean amount of juice per orange was 7.4 fluid…

A: We are given the following data:N = 1000x = 7.4 ouncesσ = 1.5 ouncesa) We want to find the z-score,…

Q: A random sample of 1000 oranges showed that the mean amount of juice per orange was 8.4 fluid…

A:

Q: A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1025 h with a…

A:

Q: For an educational study, a volunteer must place in the middle 50% on a test. If the mean for the…

A:

Q: A manufacturer of light bulbs finds that one light bulb model has a mean life span of1025 h with a…

A:

Q: A previous study showed that the average number of sticks of gum that someone who often uses gum was…

A: Consider that μ is the population mean number of sticks of gum a person chewed daily.

Q: A random sample of 1000 oranges showed that the mean amount of juice per orange was 7.4 fluid…

A: Solution: Given information: n= 1000 Sample size  x = 7.4 Sample mean s = 1.1  Sample standard…

Q: A random sample of 81 tourists in Chattanooga showed that they spent an average of $2,000 (in a…

A: It is given that , A random sample of 81 tourists in Chattanooga showed that they spent an average…

Q: A psychologist finds that the intelligence quotients of a group of patients are normally…

A: According to the provided information,

Q: A certain machine makes electrical resistors having a mean resistance of 40 ohms and a standard…

A: Let us consider X be a random variable which is used to denote resistance. It is given that we can…

Q: A group of data has a mean of 65 with a standard deviation of 5. What z-score is possible if the…

A: According to the provided information,

Q: The mean age of a sample of 25 people who were playing the slot machines is 48.7 years, and the…

A: n1=25 , x¯1=48.7, s1=6.8n2=35 , x¯2=55.3, s2=3.2

Q: The duration of gestation in healthy humans is approximately normally distributed with a mean of 280…

A:

Q: The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of…

A: Obtain the range that would be expected to be in the middle 95% of the amounts of nicotine in these…

Q: Suppose that the length of a fish specimen is normally distributed with a mean of 10 inches and a…

A: Let, random variable X be the length of fish specimen.   The random variable X follows Normally…

Q: A population of 2 liter bottles of cola is known to have a mean fill-weight of 2.06 liters and a…

A:

Q: A UCLA researcher claims that the average life span of mice can be extended by as much as 8 months…

A: Given Data : For Sample 1 x̄1 = 32.1 s1 = 3.2 n1 = 10 For Sample 2…

Q: A random sample of 1000 oranges showed that the mean amount of juice per orange was 5.9 fluid…

A: Given, A random sample of 1000 oranges showed that the mean amount of juice per orange was 5.9 fluid…

Q: The mean number of hours for persons watching a tv show was 2.98 hours each day with a standard…

A: Given : Claim : The population standard deviation of tv watching time for teenagers is less than…

Q: A random sample of 1000 oranges showed that the mean amount of juice per orange was 7.4 fluid…

A: (a) Obtain the Z-score of an orange that produced 6.4 fluid ounces of juice. The Z-score of an…

Q: The heights of American adult males are normally distributed with a mean of 177 cm and a standard…

A: Given, μ=177σ=7.4

Q: A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1025 h with a…

A: (a)Given:

Q: A medical statistician wants to estimate the average weight loss of people who are on a new diet…

A: Given,standard deviation(σ)=8margin of error(E)=2α=1-0.94=0.06α2=0.03Z0.03=1.8808       (from…

Q: A study claims tha.t on average, male high school students spend at least 3.39 hours a day playing…

A: The summary of the statistics is, x¯=4.12,σ=2.05,n=30μ=3.39 The formula for calculating the z-score…

Q: We have collected a sample of size 52. Assuming that we do not have the population standard…

A: Given,sample size(n)=52standard error(SE)=0.969

Q: At one college GPAs are normally distributed with a mean of 2.55 and a standard deviation of 0.49.…

A: Empirical rule says that in a normal data set, virtually every piece of data will fall within three…

Q: Beta company is manufacturing steel wire with an average tensile and strenght of 50 kilos. The…

A: Given: μ=50x¯=47n=16s=15 Hypothesis: Null hypothesis: H0: μ=50Alternative hypothesis: H0≠50

Q: An electrical firm manufactures light bulbs that have a length of life that is approximately…

A: Given data, σ=40E=10z-value at 96% confidence is zc=2.05n=?

Q: A sample of 100 resistors has an average resistance of 50 Ω and a standard deviation of 5 Ω. A…

A: Given that, A sample of 100 resistors has an average resistance of 50 Ω and a standard deviation of…

Q: The life of a semiconductor laser at a constant power is normally distributed with a mean of 7,994…

A: X=Life of semiconductor laser at a constant power Mean μ=7994 hours Standard deviation σ=594 hours…

Q: The average raintall, recorded to the nearest hundredth of a centimeter, in New York City, for the…

A: (1) Let X be the random variable from normal distribution with mean (μ) = 9.22 and standard…

Q: A random sample of 1000 oranges showed that the mean amount of juice per orange was 7.8 fluid…

A:

Q: In a medical examination ,300 people undergo a height measurement and was found out that the average…

A: From the provided information, Population (N) = 300 Average height (µ) = 150 Standard deviation (σ)…

Q: A manufacturer of bolts has a​ quality-control policy that requires it to destroy any bolts that are…

A: Given information- Mean, x-bar = 9 cm Standard deviation, σ = 0.05 cm We have given that a…

Q: A certain grade egg must weigh at least 2.0 Oz. If the weights of eggs are normally distributed with…

A: Given data The weights of eggs are normally distributed with mean of 1.5 0z and standard deviation…

Q: A medical statistician wants to estimate the average weight loss of people who are on a new diet…

A: Given Data: ME=4/2=2 σ=8   z-value corresponding to 97% of CI=2.17

Q: A medical statistician wants to estimate the average weight loss of people who are on a new diet…

A:

Q: A fiber spinning process currently produces a fiber whose strength is normally distributed with a…

A: Given: Population mean strength μ=75Pa Minimum acceptable strength = 65Pa 10% of the fiber fails to…

Q: A score of X=75 is measured in a population with a mean of μμ=100. A z-score of z=+1.50 is…

A:

Q: The body temperatures of a group of healthy adults have a​ bell-shaped distribution with a mean of…

A: Let X denote the  body temperatures of a group of healthy adults have a​ bell-shaped distribution…

Q: Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2900 grams and…

A:

Q: A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is…

A:

Q: A researcher claims that 20 years old women on a special diet will have an average weight of 110…

A: Given : 20-year old women :  average weight =110 pound Sample of 15 women : average weight =112.5…

Q: In a random sample of 6 cell phones, the mean full retail price was 517.30 and standard deviation is…

A:

Q: A random sample of 1000 oranges showed that the mean amount of juice per orange was 5.9 fluid…

A: A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of…

Q: The mean number of hours for persons watching a tv show was 2.98 hours each day with a standard…

A:

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.