The president of Doerman Distributors, Inc., believes that 27% of the firm's orders come from first-time customers. A simple random sample of 100 orders will be used too estimate the proporticfirst-time customers. Use z-table.a. Assume that the president is correct and p 0.27. Whatthe sampling distribution of p for this study?A normal distribution because np and n(1-p) are both greater than 5o.What is the probability that the sample proportion will be between .14 and .40 (to 4 decimals)?c. What is the probability that the sample proportion will be between .19 and .35 (to 4 decimals)?X

In this question, it has been given that president of Doerman distributors believes 27% of the its…

Answered: The president of Doerman Distributors,…

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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Before the furniture store began its ad campaign, it averaged 123 customers per day. The manager is investigating if the average is larger since the ad came out. The data for the 11 randomly selected days since the ad campaign began is shown below: 110, 154, 108, 112, 151, 146, 144, 130, 138, 129, 142 Assuming that the distribution is normal, what can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: vSelect an answer H1: ?V Select an answer V c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = e. The p-value is ?V a f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) the null hypothesis. O The data suggest the populaton mean is significantly more than 123 at a = 0.05, so there is sufficient evidence to conclude that the population mean number of customers since the…
18. On average, a banana will last 6.3 days from the time it is purchased in the store to the time it is too rotten to eat. Is the mean time to spoil greater if the banana is hung from the ceiling? The data show results of an experiment with 15 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 5.4, 8.2, 7.8, 6.8, 6.4, 8.3, 5, 7.5, 7, 5.3, 6.9, 8.8, 8.9, 9, 8.5 What can be concluded at the the αα = 0.05 level of significance level of significance? For this study, we should use T- Test, Z test The null and alternative hypotheses would be: H0: P or U, <>=, H1: P or U, <>=, The test statistic T,Z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is <> αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest that the population…
Suppose that you want to perform a hypothesis test based on independent random samples to compare the means of two populations. You know that the two distributions of the variable under consideration have the same shape and may be normal. You take the two samples and find that the data for one of the samples contain outliers. Which procedure would you use? Explain your answer.
you compute a two-sample z statistic and it comes out to equal 1.6. What is the p-value if you are doing a two-tailed test? Enter a value between 0 and 100 corresponding to the percentage, e.g. if your p-value equals 2.4%, enter 2.4. Any correctly rounded version will receive full credit.
The manufacturer of a new eye cream claims that the cream reduces the appearance of fine lines and wrinkles after just 14 days of application. To test the claim, 10 women are randomly selected to participate in a study. The number of fine lines and wrinkles that are visible around each participants eyes is recorded before and after the 14 days of treatment. The following table displays the results. Test the claim at the 0.02 level of significance assuming that the population distribution of the paired differences is approximately normal. Let women before the treatment be Population 2. Before: 10, 11, 14, 11, 9, 11, 12, 14, 11, 14 After: 8, 11, 13 , 11, 5, 7, 13, 12, 8, 10 Question 1 : Compute the value of the test statistic. Round your answer to three decimal places. Additionally Question 2: Draw a conclusion and interpret the decision.
A state-by-state survey found that the proportions of adults who are smokers in state A and state B were 22.9% and 19.3%, respectively. (Suppose the number of respondents from each state was 3000.) At a = 0.05, can you support the claim that the proportion of adults who are smokers is lower in state A than in state B? Assume the random samples are independent. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. The claim is "the proportion of adults who are smokers in state A is the proportion of adults who are smokers in state B." Let p, and p2 be the two population proportions. State H, and Ha. Choose the correct answer below. O A. Ho: P1 = P2 Hạ: P1 # P2 O B. Ho: P1 P2 Ha: P1 SP2 D. Ho: P1 sP2 F. Ho: P1 2 P2 Ha: P1 > P2 Ha: P1 1.96 ОС. z2 -1.64 D. z 1.64 E. z - 1.96 (c) Find the standardized test statistic.
A manufacturer claims that only 2% of their products are defective. A store receives a delivery of 300 items from the manufacturer. Let p-hat = the proportion of defective items in a sample of 300 items. Assuming the manufacturer is correct that only 2% of their products are defective, what are the mean and standard deviation of the sampling distribution of p-hat ? Options: The mean is 0.02 and the standard deviation is 0.008. The mean is 6 and the standard deviation is 2.42. The mean is 6 and the standard deviation is 5.88. The mean is 0.02 and the standard deviation is 0.196.
In a packing plant, a machine packs cartons with jars. It is supposed that a new machine will pack faster on the average than the machine currently used. New machine: X1 bar = 40.12, s1 = 0.656, nl = 12 Old machine: X2 bar = 43.54, s2 = 0.760, n2 = 12 These are independent samples. Find the pooled variance?
A researcher takes sample temperatures in Fahrenheit of 17 days from New York City and 18 days from Phoenix. Test the claim that the mean temperature in New York City is different from the mean temperature in Phoenix. Use a significance level of α=0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. New York City Phoenix 99 94.2 95.5 72 93.2 86.8 102 122.1 85.4 114.4 80 94.7 86.4 89.7 75.4 104.7 79.5 77.6 83.4 106.8 64.3 98.6 65.5 91.5 87.7 82 104 97.7 74.3 64.9 59.5 82 82.8 72 116.2 The Hypotheses for this problem are: H0: μ1 = μ2 H1: μ1μ2 Find the p-value. Round answer to 4 decimal places. Make sure you put the 0 in front of the decimal. p-value =
In the Izmir University of Economics, a professor claims that exam scores for non-accounting majors are more variable than for accounting majors. Random samples of 30 non-accounting majors and 30 accounting majors are taken from a final exam held on 2019. Test at the 5% level the null hypothesis that the two population variances are equal against the alternative that the true variance is higher for the non-accounting majors. Assume the populations are normally distributed. s = 1584.272 ny = 30 s = 400.495 Non-Accounting n = 30 Accounting To test the professor's claim, identify the null and alternative hypotheses. The null hypothesis is represented by H, and the alternative hypothesis is represented by H,. Choose the correct answer below. O A. Ho: o 2 O B. Ho: o = OD. Ho: o =0 H,: o
Q4. Identify the incorrect statement below: The estimator, X from a random sample of X A. Is the mean of the population of X. B. Is an unbiased estimator of the population mean. C. Has an expected value equal to the mean of X. D. Is a random variable with a variance smaller than the variance of X. O A. A ОВ. В С. С O D. D
Give a 99.8% confidence interval, for μ₁ −μ₂ given the following information. n₁ = 35, x₁ = 1 2.41, s₁ = 0.39 81 n₂ = 20, x₂ = 2.62, s₂ = 0.83 2 -0.21 ✓0.69 X Use Technology Rounded to 2 decimal places.

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