Output from a software package follows:One-Sample Z:Test of Ho: μ = 14.5 versus H₁:μ> 14.5.The assumed standard deviation = 1.4Variable N Mean StDev SE Mean Z PX25 15.016 1.035Variable N Mean StDev(a) Fill the missing items.Round your answers to three decimal places (e.g. 98.765).?25 15.016 1.035P-value=??SE MeanSUSIN(b) Use the normal table and the preceding data to construct a 95% two-sided Cl on the mean.Round your answer to two decimal places (e.g. 98.76).(c) What would the P-value be if the alternative hypothesis is H₁ :μ ‡ 14.5?Round your answer to three decimal places (e.g. 98.765).P

The partial output of one sample z-test was given.The assumed standard deviation is sample mean…

Answered: Output from a software package follows:…

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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Steel rods are manufactured with a mean length of 22 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.06 cm. Click the icon to view a table of areas under the normal curve. (a) What proportion of rods has a length less than 21.9 cm? 0.0475 (Round to four decimal places as needed.) (b) Any rods that are shorter than 21.86 cm or longer than 22.14 cm are discarded. What proportion of rods will be discarded? 0.0196 (Round to four decimal places as needed.) (c) Using the results of part (b), if 5000 rods are manufactured in a day, how many should the plant manager expect to discard? (Use the answer from part b to find this answer. Round to the nearest integer as needed.)
Use the 1odwing Wildlife: Coyotes A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be z = 2.05 years, with sample standard deviation 8 = 0.82 years (based on information from the book Coyotes: Biology, Behavior and Management by M. Bekoff, Academic Press). However, it is thought that the overall population mean age of coyotes is µ=1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use a = 0.01. Fl in the blanks a 007 • Ho u- 175 years * H u> 176 yean QUESTION 7 What is your test statistic? (t-statistic) 2.48 QUESTION 8 What is your p-value? (Hint You will need the degrees of freedom to find the p-value.) <0.01d QUESTION 9 Do you reject the null hypothesis? O Yes No
* Question Completion Status: OC. 0.0099 d. 0.0918 QUESTION 3 EPA fuel economy estimates for automobile models tested recently predicts a mean of 24 mpg and a standard deviation of 6 mpg. Assume that a Normal model applies, N(24, 6 ). What mpg for the automobiles would be the cutoff value for the lowest 10% of the mpg's (the 10th percentile of gas mileage)? O a. 12.80 mpg O b. 10.00 mpg O c. 31.38 mpg O d. 16.32 mpg QUESTION 4
Aspirin is packed in 120 tab bottles with weight normally distributed with mean 600g and standard deviation 6g. Rejected bottles are those whose weight differs from the mean weight by 15g or more. That is, rejected bottles have weight either too small or too large. We want to find out how many bottles will be rejected from a daily production of 5000 bottles. 1,Do we have to calculate one z-score or two z-scores? 2. The negative z-score is 3. The positive z-score is 4.How many bottles, of the 5000, do we anticipate to have to reject?
This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
Steel rods are manufactured with a mean length of 22 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.06 cm. Click the icon to view a table of areas under the normal curve. (a) What proportion of rods has a length less than 21.9 cm? 0.0475 (Round to four decimal places as needed.) (b) Any rods that are shorter than 21.86 cm or longer than 22.14 cm are discarded. What proportion of rods will be discarded? 0.0196 (Round to four decimal places as needed.) (c) Using the results of part (b), if 5000 rods are manufactured in a day, how many should the plant manager expect to discard? 98 (Use the answer from part b to find this answer. Round to the nearest integer as needed.) (d) If an order comes in for 10,000 steel rods, how many rods should the plant manager expect to manufacture if the order states that all rods must be between 21.9 cm and 22.1 cm? (Round up to the nearest…
The number of leaves on apple seedlings aged 2 months followed a normal distribution, the average was 12sheet with a standard deviation of 2. What is the % of plant seeds that have a. at least 10 sheetsb. between 10 to 12 sheetsc. more than 14 sheets.
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