Fowle Marketing Research, Inc., bases charges to a clieht on the assumption that telephone surveys can be completed in a mean time of 15 minutes or less. If a longer mean survey time is necessary, a premium rate is charged, Suppose a sample of 35 surveys shows a sample mean of 17 minutes. Use a 4 minutes. a. Formulate the null and alternative hypotheses for this application.
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- Suppose you select a random sample of 16 students from a population that has mean of µ = 75 and standard deviation of ơ = 20. You want to know what would be considered a ‘typical’ sample mean for a sample of n = 16. To answer your question, you compute the two sample means that define the middle 95% of the distribution of sample means. Show your work, sketch the distribution, and shade in the area of interest. Hint: Sample means that are in the extreme 5% of the distribution (2.5% in each tail of the distribution) are considered ‘atypical’ or ‘extreme.’Economic topic. Solve it A radio shop sells, on an average, 200 radios per day with a standard deviation of 50 radios After an extensive advertising campaign, the management will compute the average sales for the next 25 days to see whether an improvement has occurred. Assume that the daily sales of radios is normally distributed: (i) Write down the null and the alternative hypotheses. (ii) Test the hypothesis at 5% level of significance if X = 216. %3D (iii) How large must Xbe in order that the null hypothesis is rejected at 5% level of significance.An econometrics class has 80 students, and the mean student weight is145 lb. A random sample of 4 students is selected from the class, and theiraverage weight is calculated. Will the average weight of the students in thesample equal 145 lb? Why or why not? Use this example to explain whythe sample average, Y, is a random variable ?
- senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees how many months each worked for the firm before receiving a raise in salary. The sample information is submitted to Minitab with the following results: Analysis of Variance Source df SS MS F P Factor 3 28.17 9.39 5.37 0.010 Error 15 26.26 1.75 Total 18 54.43 What is the decision rule? (Round your answer to 2 decimal places.) At the 0.05 level of significance, is there a difference in the mean number of months before a raise was granted among the four CPA firms?ou would like to get the highest paying job possible after graduating from UCR and are currently deciding vhether to enroll in ECON 108 in the fall term or not. You find a sample of recent UCR graduates that majc n Economics (there are no double majors in the samples). You sampled 100 Economics majors that took ECON 108 and you find that the average starting salary is 72K dollars, with a sample standard deviation of 10K dollars. You sampled 75 Economics majors that did not take ECON 108 and you find that the average starting salary is 65K dollars, with a sample standard deviation of 15K dollars. Which of the following statements is most correct? O I am not very confident in the results of my hypothesis test because the range in which I fail to reject the null hypothesis is relatively large. O I want to be very confident in the results of my hypothesis test, so the range in which I fail to reject the null hypothesis is relatively large. O The range in which I fail to reject is small, so…Let x be a random variable representing dividend yield of Australian bank stocks. We mayassume that x has a normal distribution with σ = 2.4%. A random sample of 15 Australianbank stocks has a sample mean of x = 6.83%. For the entire Australian stock market, themean dividend yield is μ = 6.9%. Do these data indicate that the dividend yield of allAustralian bank stocks is higher than 6.9%? Use α = 0.05. What is the value of the teststatistic?
- A random variable X has population mean u and population variance o?. Given a sample of n independent observations X1,..., Xn, n+7 the estimator n²+10n+3 Li-1 A¡ is consistent for u. True False25 An economist would like to test the hypothesis that the average daily screen time that a person spends on mobile devices is greater than 300 minutes. A random sample of 30 smartphone users was selected and their daily screen time was recorded. The standard deviation for the 30 smartphone owners using their devices is 112.19 minutes and the sample mean of the daily screen time is 297.17 minutes. Using a = 0.05, the test statistic of the sample mean is -1.38 -0.138. 0.138 O 1.38Question 2 In 2015, the average duration of long-distance telephone calls from a certain town was 3.9 minutes. A telephone company wants to perform a test to determine whether this average duration of long- distance calls has changed. Fifty calls, originating from the town, was randomly selected and the following summary minutes. Σx= 205 E(x - x)? = 56.43 a) Calculate the sample mean, &. b) Calculate the sample standard deviation c) Using the p value approach at the 1% level of significance, test whether the mean duration of long-distance calls from the town had increased. d) Construct the 99% confidence interval for the population mean duration of the long-distance calls from the town.
- A simple random sample of 8 employees of a corporation provided the following information. Employee Age Gender 1 2 3 21 37 26 W M W 4 5 6 7 8 44 48 50 25 22 W W M M M (a) Determine the point estimate for the average age of all employees. (b) What is the point estimate for the standard deviation of the population? (Round your answer to four decimal places.) (c) Determine a point estimate for the proportion of all employees who are female.You are assigned to research what 3rd year Wits College students jozi Campus think about the module called Research practice. Keep in mind that there are a total of 300 students who do this module. Therefore, you population is 300 students. You need to choose a sample of 50 students. So, choose any TWO (2) Non-Probability Sampling methods that you can use for this study. Then explain a disadvantage of each method in relation to your study.The student academic group on a college campus claims that freshman students study at least 2.5 hours per day, on average. One Introduction to Statistics class was skeptical. The class took a random sample of 30 freshman students and found a mean study time of 139 minutes with a standard deviation of 44 minutes. At a = 0.01 level, is the student academic group's claim correct? Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) Part (b) Part (c) State alpha. (Enter an exact number as an integer, fraction, or decimal.) Part (d) Part (e) .. .... .... ..... . ...... ............................................................... ........................... Part (f)