Question

The ages of a group of 125 randomly selected adult females have a standard deviation of 16.2 years. Assume that the ages of female statistics students have less variation than ages of females in the general population, so let sigmaσ equal =16.2 years for the sample size calculation.

How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics students? Assume that we want 95% confidence that the sample mean is within one-half year of the population mean.

Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population?

Step 1

**The given information is as follows:**

It is given that, the ages of a group of 125 randomly selected adult females have a standard deviation of 16.2 years.

The confidence level is (1–α) = 95%.

From this, the probability value is α = 0.05.

The population standard deviation of ages of females is σ = 16.2 years.

Furthermore, it is given that the estimate of mean age of all statistics students should be within one-half year of the general population. That is, the margin of error should be *E = *0.5 years.

Step 2

**Obtain the critical value for the given situation:**

The critical value corresponding to the given situation is obtained as *z*_{(α/2)} = 1.96 from the calculation given below:

Step 3

**Obtain the number of female statistics students required to estimate the mean age of all statistics students under the given criteria:**

Here, 1.96, σ = 16.2 years, *E = *0.5 years and *z*(α/2) = 1.96.

The number of female statistics...

Tagged in

Q: Consider a drug testing company that provides a test for marijuana usage. Among 301 tested subjects,...

A: Given hypothesis testp be the proportion of wrong test results Null hypothesis : p = 0.10Alternate H...

Q: One major assumption with independent t tests is called “homogeneity of variances.” Describe this as...

A: Independent Two Samples t-test:Suppose there are two populations independent of one another. A resea...

Q: Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of who...

A: (A)The sample mean and standard deviation is calculated below:

Q: Evaluate the following expression. Express your answer as a fraction or decimal number rounded to fo...

A: The required formulae to find the value of given expression is given below:

Q: Jane has stored three albums on her iPod. The first album consists of 11 songs by Frank Sinatra, the...

A: According to the given question, Jane has stored three albums on her iPod.The first album consists o...

Q: How much should a healthy Shetland pony weigh? Let x be the age of the pony (in months), and let y b...

A: Part (a):The scatter diagram, along with the best fitted line (least-squares regression line) for th...

Q: the NHANES-Ill survey, the inçidence of urinary tract infections in adult women is 13,320 n per year...

A: Given incidence of urinary tract infections = 13.32%Nitride test for urinary tract infections sensit...

Q: Total plasma volume is important in determining the required plasma component in blood replacement t...

A: Note:Hi! Thank you for posting the question. Since your question has more than 3 parts, we have solv...

Q: Repeat the following procedure for the four given numbers.Multiply the number by 4. Add 4 to product...

A: The first number is 1Step-1 Multiplying by 4 we get =1*4 = 4Step-2 Add 4 to the product we get = 4+4...

Sorry about that. What wasn’t helpful?