d,e,fe) This result would be (usual, unusual)so the sample likely came from a population whose mean gestation period is(less, more, equal) to 266 days **Question:**(e) What might you conclude if a random sample of 72 pregnancies resulted in a mean gestation period of 261 days or less?**Answer:**This result would be [Dropdown: unusual/expected], so the sample likely came from a population whose mean gestation period is [Dropdown: various options] 266 days.**Question:**(f) What is the probability that a sample of size 19 will have a mean gestation period within 11 days of the mean?**Answer:**The probability that a sample of size 19 will have a mean gestation period within 11 days of the mean is [Text Box for input] (Round to four decimal places). The text presents a statistical exercise regarding human pregnancies, assumed to be normally distributed with a mean ($\mu$) of 266 days and a standard deviation ($\sigma$) of 16 days. The task involves calculations related to random samples from this population.1. **Multiple Choice Questions:** - **B:** If 100 independent random samples of size $ n = 28 $ pregnancies were obtained from this population, we would expect \_\_ sample(s) to have a sample mean of 261 days or more. - **C:** If 100 independent random samples of size $ n = 28 $ pregnancies were obtained from this population, we would expect \_\_ sample(s) to have a sample mean of exactly 261 days.2. **Probability Calculation (d):** - The question asks for the probability that a random sample of 72 pregnancies has a mean gestation period of 261 days or less. The probability should be rounded to four decimal places.3. **Interpretation of Probability:** - Three options are given concerning the interpretation: - **A:** Expectation regarding a sample mean of 261 days or more. - **B:** Expectation regarding a sample mean of exactly 261 days. - **C:** Expectation regarding a sample mean of 261 days or less.4. **Conclusion and Interpretation (e):** - A conclusion should be drawn from a sample result with a mean gestation period of 261 days or less. The dropdown allows selecting a probable mean gestation period source, hypothesized as 266 days.5. **Further Probability Calculation (f):** - An additional query asks for the probability that a sample of size 19 will have a mean gestation period within 11 days of the mean, rounded to four decimal places.This exercise involves concepts such as sampling distribution, probability calculation, and statistical inference within the context of normal distribution.

Given Information: Mean μ=266 Standard deviation σ=16

Answered: This result would be (usual, unusual)…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

d,e,f e) This result would be (usual, unusual) so the sample likely came from a population whose mean gestation period is(less, more, equal) to 266 days

The text presents a statistical exercise regarding human pregnancies, assumed to be normally distributed with a mean ($\mu$) of 266 days and a standard deviation ($\sigma$) of 16 days. The task involves calculations related to random samples from this population.

1. **Multiple Choice Questions:**
- **B:** If 100 independent random samples of size $ n = 28 $ pregnancies were obtained from this population, we would expect \_\_ sample(s) to have a sample mean of 261 days or more.

- **C:** If 100 independent random samples of size $ n = 28 $ pregnancies were obtained from this population, we would expect \_\_ sample(s) to have a sample mean of exactly 261 days.

2. **Probability Calculation (d):**
- The question asks for the probability that a random sample of 72 pregnancies has a mean gestation period of 261 days or less. The probability should be rounded to four decimal places.

3. **Interpretation of Probability:**
- Three options are given concerning the interpretation:
- **A:** Expectation regarding a sample mean of 261 days or more.
- **B:** Expectation regarding a sample mean of exactly 261 days.
- **C:** Expectation regarding a sample mean of 261 days or less.

4. **Conclusion and Interpretation (e):**
- A conclusion should be drawn from a sample result with a mean gestation period of 261 days or less. The dropdown allows selecting a probable mean gestation period source, hypothesized as 266 days.

5. **Further Probability Calculation (f):**
- An additional query asks for the probability that a sample of size 19 will have a mean gestation period within 11 days of the mean, rounded to four decimal places.

This exercise involves concepts such as sampling distribution, probability calculation, and statistical inference within the context of normal distribution.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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