A scientist studying babies born prematurely would like to obtain an estimate for the mean birth weight, μ, of babies born during the 24th week of the gestation period. She plans to select a random sample of birth weights of such babies and use the mean of the sample to estimate μ . Assuming that the population of birth weights of babies born during the 24th week has a standard deviation of 2.8 pounds, what is the minimum sample size needed for the scientist to be 95% confident that her estimate is within 0.6 pounds of μ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).

Q: Suppose that you are interested in determining the average height of a person in a large city. You…

A: Solution: Given information: n= 400 Sample size  x=63 inches Sample mean s= 6 inches Sample standard…

Q: In Country A, the population mean height for 10-year-old girls is 54.8 inches with a standard…

A: Given: Population Mean μ=54.8 Sample Size n=15 Sample Standard Deviation s=2.8 Sample Mean X¯=53.3

Q: The Great West Mining Company has struck the mother lode in their newly acquired gold field. They…

A: From the provided information, Mean (µ) = 228 oz Standard deviation (σ) = 70 oz X~N (228, 70)

Q: The ages of a group of 154 randomly selected adult females have a standard deviation of 18.2 years.…

A: Determine the value of sample size n. The value of sample size n is obtained as shown below: Use…

Q: The ages of a group of 148 randomly selected adult females have a standard deviation of 17.1…

A: Given: n = 148 σ=17.1 E=0.5

Q: Past data reveals that such gestation periods have a mean of 65 days with standard deviation 20days.…

A: Given data: The gestation period of wolves (X) is normally distributed with mean and standard…

Q: %. The percentage of individual adult females with weights less than 83 kg is (Round to one decimal…

A: Assume that weights of adult females are normally distributed with a mean of 77 kg and a standard…

Q: A psychologist is studying the self image of smokers, which she measures by the self-image (SI)…

A:

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

A: Solution: From the given information, confidence level is 0.94, σ=25 and E=12.

Q: Agricultural scientists are testing a new chicken feed to see whether it increases the number of…

A: The level of significance is α=0.05. The test is right tailed test.   Decision rule: (at 5% level of…

Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…

A: L

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 264 days…

A: Let X denote the length of pregnancies in a small rural village. According to the given information.…

Q: The ages of a group of  153 randomly selected adult females have a standard deviation of  16.3…

A: The population standard deviation is 16.3, and confidence level is 90%.

Q: The ages of a group of 120 randomly selected adult females have a standard deviation of 18.1 years.…

A: In statistics, standard deviation is defined as a measure of variability, that indicates how distant…

Q: The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million…

A: We have given that  Sample sizes n1= 40 , n2= 35  Sample means xbar1= 3.2 , xbar2=1.9  Standard…

Q: A parenting magazine reports that the average amount of wireless data used by teenagers each month…

A: State the null and alternative hypotheses for the test. Fill in the blank below. H0: μ=6:…

Q: The ages of a group of 137 randomly selected adult females have a standard deviation of 17.2 years.…

A: Given , E = 0.5 ,  σ=17.2 (1-α)100% = 98% α=0.02

Q: study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Cheverolet…

A: Given: \mu = 8.4, \text{ } \sigma = 1.8, \text{ } n = 40μ=8.4, σ=1.8, n=40 The corresponding z-score…

Q: The annual per capita consumption of red meat in the U.S. is normally distributed with a mean of…

A: From the given information : n = 50 mean = 85.6 standard deviation = 20.5

Q: The president of a university wants to use the mean of a ma to estimate the average amount of time…

A: Given information Standard deviation σ = 1.40 Confidence interval = 0.99 Significance level(α) = 1-…

Q: A certain paper describes a study of the possible cardiovascular benefits of active video games.…

A: Solution: State the hypotheses. Null hypothesis: That is, the mean heart rate after 15 minutes of…

Q: Assume that the ages of female statistics students have less variation than ages of females in the…

A: The ages of a group of 124 randomly selected adult females have a standard deviation of 17.2 years.…

Q: The ages of a group of 124 randomly selected adult females have a standard deviation of 18.2 years.…

A: As given: σ = 18.2 years The sample mean is within a one-half year of the population mean.That…

Q: The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million…

A: The sample standard deviations are s1=2 and s2=1.5.

Q: Salaries for teachers in a particular elementary school district are normally distributed with a…

A: given data  normal distribution μ = 44000σ = 6500n = 10 find 90th percentile for individual teachers…

Q: The ages of a group of 127 randomly selected adult females have a standard deviation of 17.4…

A: Given that, The ages of a group of 127 randomly selected adult females have a standard deviation of…

Q: The reading speed of second grade students in a large city is approximately normal, with a mean of…

A: Given : mean = 92 S.D = 10

Q: The ages of a group of 157 randomly selected adult females have a standard deviation of 17.5 years.…

A:

Q: The ages of a group of 155 randomly selected adult females have a standard deviation of 16.4 years.…

A: Determine the value of sample size n. The value of sample size n is obtained as shown below: Use…

Q: In a large section of a statistics​ class, the points for the final exam are normally​ distributed,…

A: Finding the lowest score that would qualify a student for an A grade:The points for the final exam…

Q: Workers at a certain soda drink factory collected data on the volumes​ (in ounces) of a simple…

A:

Q: A psychologist is studying the self image of smokers, which she measures by the self-image (SI)…

A: From the provided information, Population standard deviation (σ) = 85 Margin of error (E) = 20…

Q: My research hypothesis is: Doctors who are extroverts make fewer than 12 serious medical errors per…

A: Given that, Sample size n=25 Sample mean x¯=15 Sample standard deviation s=10

Q: Suppose in a city of 100,000 residents, a survey was conducted with size of 1650. If Forty-two…

A: GivenThe sample size = 1650The percentage of population opposes the new taxes for the geothermal…

Q: A researcher looks at a large set of data, and concludes the population has a standard deviation of…

A: It is given that the initial standard deviation is really 20, and the sample size is 64.

Q: A chain of taco restaurants claims that the population mean of the wait times in their drive-thru…

A: Sample size n=40 Sample mean x¯=3.94. Sample standard deviation s=2.39 Population mean μ=5.39.…

Q: The ages of a group of 123 randomly selected adult females have a standard deviation of 16.9 years.…

A: Given, 123 randomly selected adult females have a standard deviation of 16.9 years. Confidence level…

Q: An ecologist is studying the impact of local polluted waters on the growth of alligators. The length…

A: Length of adult male alligators follows a normal distribution with µ and standard deviation 2. n…

Q: A psychologist is studying the self image of smokers, which she measures by the self-image (SI)…

A:

Q: A scientist is worried about a new disease being spread by mosquitoes in an area. The scientist…

A:

Q: Suppose the lengths of loaves of rye bread produced at a bakery are normally distributed with a mean…

A: Given information: The mean is 25 and the standard deviation is 4. That is, μ=25σ=4 We need to find…

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.