The mean incubation time for a type of fertilized egg kept at a certain temperature is 23 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. Complete parts (a) through (e) below. Click here to view the standard normal distribution table (page 1), Click here to view the standard normal distribution table (page 2). (a) Draw a normal model that describes egg incubation times of these fertilized eggs. Choose the correct graph below. Click here to view graph c. Click here to view graph d. Click here to view graph b. Click here to view graph a. (b) Find and interpret the probability that a randomly selected fertilized egg hatches in less than 21 days. The probability that a randomly selected fertilized egg hatches in less than 21 days is. (Round four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. O A. In every group of 100 fertilized eggs, eggs will hatch in less than 21 days. (Round to the nearest integer as needed.) O B. The average proportion of the way to hatching of all eggs fertilized in the past 21 days is. (Round to two decimal places as needed.) O C. If 100 fertilized eggs were randomly selected, (Round to the nearest integer as needed.) of them would be expected to hatch less than 21 days.
The mean incubation time for a type of fertilized egg kept at a certain temperature is 23 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. Complete parts (a) through (e) below. Click here to view the standard normal distribution table (page 1), Click here to view the standard normal distribution table (page 2). (a) Draw a normal model that describes egg incubation times of these fertilized eggs. Choose the correct graph below. Click here to view graph c. Click here to view graph d. Click here to view graph b. Click here to view graph a. (b) Find and interpret the probability that a randomly selected fertilized egg hatches in less than 21 days. The probability that a randomly selected fertilized egg hatches in less than 21 days is. (Round four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. O A. In every group of 100 fertilized eggs, eggs will hatch in less than 21 days. (Round to the nearest integer as needed.) O B. The average proportion of the way to hatching of all eggs fertilized in the past 21 days is. (Round to two decimal places as needed.) O C. If 100 fertilized eggs were randomly selected, (Round to the nearest integer as needed.) of them would be expected to hatch less than 21 days.
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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Transcribed Image Text:### Standard Normal Distribution Table
The provided images show two pages of a Standard Normal Distribution Table. Each page includes a bell curve graph and a table of values. Details of these components are explained below:
#### Graph
- **Bell Curve**: Illustrates a standard normal distribution, which is symmetric and centered at zero.
- **Area**: The shaded portion under the curve indicates the probability associated with a particular z-score or the cumulative probability up to that z.
#### Table
The tables display cumulative probabilities for the standard normal distribution. The rows of the table represent the z-score rounded to the nearest tenth, while the columns represent the hundredth decimal place of the z-score.
- **Page 1**:
- **Z-Scores**: Values range from -3.4 to -0.6.
- **Probabilities**: Column values represent probabilities associated with the z-scores, showing the area under the curve to the left of the given z-score.
- **Page 2**:
- **Z-Scores**: Values range from 0.0 to 3.8.
- **Probabilities**: Similarly, column values represent cumulative probabilities to the left of each z-score.
### How to Use the Table:
1. **Identify the Z-score**: For a given z-score, locate the first decimal place on the leftmost column.
2. **Locate the Hundredth Decimal**: Move horizontally across the top row to find the hundredth's place decimal of the z-score.
3. **Find the Probability**: The intersecting cell gives the cumulative probability or the area under the curve left of the z-score.
These tables are essential for statistical calculations, allowing users to find probabilities associated with standard deviations from the mean for normally distributed data.
![The mean incubation time for a type of fertilized egg kept at a certain temperature is 23 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. Complete parts (a) through (c) below.
(a) Draw a normal model that describes egg incubation times of these fertilized eggs.
Choose the correct graph below.
- Click here to view graph c.
- Click here to view graph d.
- Click here to view graph b.
- Click here to view graph a.
(b) Find and interpret the probability that a randomly selected fertilized egg hatches in less than 21 days.
The probability that a randomly selected fertilized egg hatches in less than 21 days is [ ].
(Round to four decimal places as needed.)
Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice.
- A. In every group of 100 fertilized eggs, [ ] eggs will hatch in less than 21 days. (Round to the nearest integer as needed.)
- B. The average proportion of the way to hatching of all eggs fertilized in the past 21 days is [ ]. (Round to two decimal places as needed.)
- C. If 100 fertilized eggs were randomly selected, [ ] of them would be expected to hatch in less than 21 days. (Round to the nearest integer as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe55ca600-6ecd-431e-a2f3-7959f6a21e5c%2F8987f878-4faf-4c32-b1c0-70bd886046ad%2Fma6yvx6_processed.png&w=3840&q=75)
Transcribed Image Text:The mean incubation time for a type of fertilized egg kept at a certain temperature is 23 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. Complete parts (a) through (c) below.
(a) Draw a normal model that describes egg incubation times of these fertilized eggs.
Choose the correct graph below.
- Click here to view graph c.
- Click here to view graph d.
- Click here to view graph b.
- Click here to view graph a.
(b) Find and interpret the probability that a randomly selected fertilized egg hatches in less than 21 days.
The probability that a randomly selected fertilized egg hatches in less than 21 days is [ ].
(Round to four decimal places as needed.)
Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice.
- A. In every group of 100 fertilized eggs, [ ] eggs will hatch in less than 21 days. (Round to the nearest integer as needed.)
- B. The average proportion of the way to hatching of all eggs fertilized in the past 21 days is [ ]. (Round to two decimal places as needed.)
- C. If 100 fertilized eggs were randomly selected, [ ] of them would be expected to hatch in less than 21 days. (Round to the nearest integer as needed.)
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