A random sample of 75 college students of MSU is selected and 16 are found to have motorcycles on campus. Use a 95% confidence interval to estimate the fraction of students who have motorcycles on campus.
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A: Givenn=135x=12confidence interval = 90%p^=xn=12135=0.0889α=1-0.90=0.10α2=0.05zc=zα2=z0.05=1.6449…
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A: For 95% confidence intervalα=1-CI=1-0.95=0.05So, zα2=z0.052=z0.025=1.96
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A: From the provided information, Sample size (n) = 91 Out of which 60 have health insurance. Sample…
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A: Given,sample size (n)=145sample proportion(p^)=0.53α=1-0.95=0.05α2 =0.025z0.025 =1.96
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A: For 99% confidence intervalα=1-CI=1-0.99=0.01So, zα2=z0.012=z0.005=2.576
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A: Given : X = 300 n = 1815 p^ = xn = 3001815 = 0.1653
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Q: consider a random sample of 300 students in a university, 75 of them declared that they like playing…
A: A random sample of 300 students in a university in which 75 of them declared that they like playing…
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A: The provided information is: It is given that 106 college students (s) own a car among 258 college…
Q: confidence interval for the true proportion
A: We have to find out the confidence interval for the true proportion.
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- According to a report published by the USDA 3 years ago, a typical American consumes an average of 26 pounds of ice cream per year. A researcher at the USDA would like to determine if the average amount of ice cream consumed each year by a typical American has changed since the original report was published. The researcher collected data from a random sample of 65 Americans and found that the mean amount of ice cream consumed each year by the sample was 25.54 pounds with a standard deviation of 1.64 pounds. Using α=0.02, test the hypothesis that the mean amount of ice cream consumed each year by a typical American is different than 26 pounds. Use the p-value method. State the null and alternative hypothesis for this test. H0= H1= Determine the test statistic for the hypothesis test. Round the solution to four decimal places. =Researchers conducted a study to investigate whether there is a difference in mean PEF in children with chronic bronchitis as compared to those without. Data on PEF were collected from 100 children with chronic bronchitis and 100 children without chronic bronchitis. The mean PEF for children with chronic bronchitis was 290 with a standard deviation of 64, while the mean PEF for children without chronic bronchitis was 308 with a standard deviation of 77. Based on the data, is there statistical evidence of a lower mean PEF in children with chronic bronchitis as compared to those without? Run the appropriate test at α=0.05. Assume equal variances. 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value.According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is miles with a standard deviation of miles. The company recently starting using new contracts which require customers to have the cars serviced at their own expense. The company's owner believes the mean number of miles driven annually under the new contracts, , is less than miles. He takes a random sample of cars under the new contracts. The cars in the sample had a mean of annual miles driven. Assume that the population is normally distributed. Is there support for the claim, at the level of significance, that the population mean number of miles driven annually by cars under the new contracts, is less than miles? Assume that the population standard deviation of miles driven annually was not affected by the change to the contracts. Perform a one-tailed test. Then answer the questions below.Carry your intermediate computations to three or more decimal places, and round your responses…
- A professor in the women’s studies program believes that the amount of smoking by women has increased in recent years. A complete census taken 2 years ago of women living in a neighbourng city showed that the mean number of cigarettes smoked daily by the women was 5.0 with a standard deviation of 2.2. To assess her belief, the professor determined the daily smoking rate of random sample of 121 women currently living in that city. The data show that the number of cigarettes smoked daily by the 121 women has a mean of 6.1 and a standard deviation of 2.7. Is the professor’s belief correct? Assume a directional alternative hypothesis is appropriate and use an alpha = to 0.051-tailed in making your decision. Be sure that the most sensitive test is used to analyze the data. Assume the population standard deviation is unknown and reanalyze the data using the same alpha level. What is your conclusion this time? Determine the size of effect found in part b and provide an interpretation…The head of the Philippine University (PU) observes a decline on the alcoholic expenditures of learners from a monthly expenditure of Php 350 pesos in the previous year. To check on this, he randomly selected 10 PU learners who drink alcoholic beverages and asked the amount, in pesos, that they usually spend on alcoholic beverages in a month. It is known that the usual amount spent on alcoholic beverages by learners who drink alcoholic beverages follows the normal distribution with standard deviation of Php 10. The data collected are: 400, 235, 200, 250, 200, 300, 500, 430, 420, and 220. 1. Construct and interpret a 95% confidence interval for the true mean amount spent by the learners on alcoholic beverages. 2. Find a 90% confidence interval for the true mean amount spent by the learners on alcoholic beverages. 3. Calculate the widths of the confidence intervals in (a) and (b). How was the width of the confidence interval affected by the decrease in the confidence coefficient holding…To estimate the average salary of policemen, 64 of them were taken as samples. If the mean salary of these samples is Php. 25,000 with standard deviation of Php. 800, construct a 90% confidence interval estimate for the average salary of all policemen.