**Number of Farms**A random sample of the number of farms (in thousands) in various states follows. Estimate the mean number of farms per state with 92% confidence. Assume $\sigma = 31$. Use a graphing calculator and round the answers to one decimal place. Assume the population is normally distributed.Data:\[ 6, 78, 54, 33, 64, 4, 50, 29, 9, 80, 8, 52, 3, 49, 4, 109, 40, 80, 48, 16, 68, 7, 15, 21 \]There is an option to send the data to Excel for further analysis and computation.**Instructions for Calculation:**1. Enter the data into a graphing calculator or statistical software.2. Use the formula for the confidence interval for the mean of a normally distributed population: \[ \bar{X} \pm Z_{\alpha/2} \left(\frac{\sigma}{\sqrt{n}}\right) \] where: - $\bar{X}$ is the sample mean. - $Z_{\alpha/2}$ is the critical value for the desired confidence level (found using standard normal distribution tables). - $\sigma$ is the population standard deviation (31 in this case). - $n$ is the sample size (24 in this case).**Diagram Explanation:**There are no graphs or diagrams included in the image to explain.

Given n=24 Standard deviations=31

Answered: Number of Farms A random sample of the…

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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You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 34 27 26 35 29 39 25 26 290 28 28 34 30 32 28 29 26 24 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and H3? O A. Ho: H= 31 B. Ho, μs 31 O c. Ho : μ= 3 Ha: H#31 Ha: u> 31 Ha: H31 OF. Ho: H231 Ha: u231 Ha: us 31 Ha: µ<31 (b) Use technology to find the P-value. P = (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Reject Ho because the P-value is less than the significance level. O B. Fail…
An employment information service claims the mean annual salary for senior level product engineers is $96,000. The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At a=0.10, test the claim that the mean salary is $96.000. Complete parts (a) through (e) below. Assume the population is normally distributed (a) Identify the claim and state Ho and H₂. Ho Y M H₂ N ▼ (Type integers or decimals. Do not round.) The claim is the hypothesis. (b) Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are to (Use a comma to separate answers as needed. Round to two decimal places as needed.). Choose the graph which shows the rejection region О А. 15-6.176 4 -ho to Q Q (c) Find the standardized test statistic, t The standardized test statistic is t- (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Ho because the…
Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…
Please determine the critical value
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You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed Ha μ#31 33 26 (b) Use technology to find the P-value. 25 30 28 38 33 36 H₂ μ31 EN 25 28 310 24
The trade volume of a stock is the number of shares traded on a given day. The following data, in millions represent the volume of a certain stock traded for a random sample of 40 trading days in 2007. use the data to compute a point estimate for the population mean number of shares traded per day in 2007. (Round to three decimal places as needed.)
n a 2014 study, Michael Smith arranged to be stung by bees repeatedly on 25 locations over 38 days to record the relative pain experienced by each sting in each body area. A scale pain ratings of 1-10 were used with stings to the forearm defined to be a 5. What is the population of this study?
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