MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A biologist studies the gestation period of wolves. Past data reveals that such gestation periods have a
The biologist plans to take a random sample of 15 such wolves and will calculate the mean gestation period of the sample to compare to the known gestation periods. Compute the mean and standard deviation of the sampling distribution of sample means for a
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- A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 21.2 pounds and a standard deviation of 4.6 pounds. Step 1 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 85 people on this diet, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.arrow_forwardAn analyst found that the average amount of money in bank accounts at his/her bank is $2,000 with a standard deviation of $150. What would be the variance?arrow_forwardThe distribution of the number of motor vehicles per household in the United States (the population) and sampling distributions of the mean for samples of size 4 and 10 are shown in below. A.Which distribution is which? Make a rough estimate of the mean and standard deviation of each distribution. Explain the reasons of your choices.b. The mean of the population is about 1.7. Theoretically, what is the mean of the sampling distribution for samples of size 4? Of size 10? Are these computed means consistent with your estimates of the means in the histograms? Briefly explain.c. The standard deviation of the population is about 1. Theoretically, what is the Standard Error (SE) of the sampling distribution for samples of size 4? Of size 10? Are these computed SEs consistent with your estimates of the SEs in the histograms? Briefly explain.d. Compare the shapes of the three distributions. Are the shapes consistent with the Central Limit Theorem? Briefly explain.arrow_forward
- A population has a mean p= 75 and a standard deviation o= 6. Find the mean and standard deviation of a sampling distribution of sample means with sample size n= 36. (Simplify your answer.)arrow_forwardThe annual salary for one particular occupation is normally distributed, with a mean of about $132,000 and a standard deviation of about $16,000. Random samples of 26 are drawn from this population, and the mean of each sample is determined. Find the mean and standard deviation of the sampling distribution of these sample means. Then, sketch a graph of the sampling distribution.arrow_forwardA population has a mean = 73 and a standard deviation σ = 22. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=240. 1x = (Simplify your answer.)arrow_forward
- A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?arrow_forwardA population has a mean µ = 87 and a standard deviation o=27. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 81. (Simplify your answer.)arrow_forwardAccording to Current Population Reports, the population distribution of number of years of education for self-employed individuals in the United States has a mean of 13.6 and a standard deviation of 3.0. Find the mean and standard error of the sampling distribution of ȳ for a random sample of 9 residents.arrow_forward
- A random sample of 18 light bulbs is drawn from a normally distributed population. The population has mean and standard deviation are 517 hours and 39 hours, respectively. What is the mean of the sampling distribution the sample mean?arrow_forwardIn Country A, the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 36.8 inches with a standard deviation of 2 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below. a. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05. Which of the following correctly states Ho and Ha? Ho: µ#37 O A. Ho: μz37 Oc. H3i µ 37 OB. Hai H=37 Hai us37 Ho: H = 37 Ha:µ 37 Ho: µ= 37 Ha: H#37 Find the test statistic. t= -0.39 (Type an integer or decimal rounded to two decimal places as needed.) Find the p-value. p (Type an integer or decimal rounded to three decimal places as needed.)arrow_forwardIf we meet these conditions, the sampling distribution of the mean will have a normal shape and ... The mean of the sampling distribution will be u, (i.e., the same as the population mean) and the standard deviation of the sampling distribution will be (that's the population standard deviation divided by the square root of the sample size). In the AP Stats Guy video, he talks about the number of text messages his students send during class. Suppose the average number of text messages his students send during class is u = 30 text messages. If we take samples of say, n = 36 students at a time, we would expect the mean of the sampling distribution we create to be the same as the population mean, 30 text messages. If we can further say that standard deviation of the number of text messages is 12 text messages, by how much would we expect the sample means to vary? (hint, use the formula above) text messagesarrow_forward
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