At the significance level α = 0.05, can we accept the statement from the Association ?
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A motorists association says the average annual operating cost of a car is $3,600
with a standard deviation of $800. To verify this assertion, we
takes a sample of 64 motorists among whom we find
an average annual operating cost of $3,950. At the significance level α = 0.05, can we accept the statement
from the Association ?
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- A random sample of 89 tourists in British Columbia showed that they spent an average of $2860 (in a week) with an assumed population standard deviation of $126; and a sample of 64 tourists in Alberta showed that they spent an average of $2935 (in a week) with an assumed population standard deviation of $138. We are interested in determining if there is any significant difference between the average expenditures of all the tourists who visited the two provinces.a. At a significance level of 0.05, are the two average expenditures significantly different? b. Calculate the 99% confidence interval and interpret your results?A student suspected the average cost of a Saturday night date was now greater than $30. To test her hypothesis, she randomly selected 16 men from the residence hall and asked how much they spent on a date last Saturday night. She found that in her sample, the average amount spent $32.75, the standard deviation was $5.25, and that the histogram of sample was unimodal and roughly symmetric. At , is there enough evidence to support her claim. What type of test would she use? One-sample proportion test One-sample t-test Two-sample proportion test Two-sample t-testA set of exam scores is normally distributed with a mean = 82 and standard deviation = 6.Use the Empirical Rule to complete the following sentences.68% of the scores are between and .95% of the scores are between and .99.7% of the scores are between and .
- The mean score on a driving exam for a group of driver’s education students is 76 points, with a standard deviation of 6 points. Apply chebychev’s theorem to the data using K=2. Interpret, At least ___% of the exam score falls between ___and ____In a sample of 80 business trips taken by employees in the HR department, a company finds that the average amount spent for the trips was $1580 with a standard deviation of $350. In a sample of 80 trips taken by the employees in the sales department is $1750 with a standard deviation of $550. When testing the hypothesis that the averageamount spent on trips taken by the salesepartment are higher than those taken by the HR department, if the test statistic is 2.33 and the critical value is 1.96 then what is your conclusion concerning the null hypothesis? Reject the null hypothesis Fail to reject the null hypothesisThe average American consumes 89 liters of alcohol per year. Does the average college student consume less alcohol per year? A researcher surveyed 15 randomly selected college students and found that they averaged 87.3 liters of alcohol consumed per year with a standard deviation of 15 liters. What can be concluded at the 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: Но: ? Select an answer V Н: ? v Select an answer V c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... the null hypothesis. O The data suggest the population mean is not significantly less than 89 at a = 0.05, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students…
- A report states that the mean yearly salary offer for students graduating with a degree in accounting is $48,722. Suppose that a random sample of 50 accounting graduates at a large university who received job offers resulted in a mean offer of $49,870 and a standard deviation of $3900. Do the sample data provide strong support for the claim that the mean salary offer for accounting graduates of this university is higher than the national average of $48,722? Ho: μ = Ha: (Put in the correct symbol and value) ✓ Select an answer a not = P-value: = ↑ Based on the above we choose to Select an answer Question Help: Post to forum Submit QuestionWhen students use the bus from their dorms, they have an average commute time of 8.263 minutes with standard deviation 2.9321 minutes. Approximately 75.67% of students reported a commute time greater than how many minutes? Assume the distribution is approximately normal. Question 10 options: 1) 6.22 2) 2.28 3) 14.24 4) 10.3 5) We do not have enough information to calculate the value.The mean annual tuition and fees for a sample of 14 private colleges in California was $37,900 witrh a standard deviation of $7,200. A dotplot shows that it is reasonable to assume that the population is approxiamately normal. Can you conclude that the mean tuition and fees for private institutions in California differs from $35,000? a. State the null and alternate hypothesis. b. Compute the value of the t statistic. How many degrees of fredom are there?
- 2. The average gasoline price of one of the major oil companies has been $1.00 per gallon. Because of shortages in production of crude oil, it is believed that there has been a significant increase in the average price. In order to test this belief, we randomly selected a sample of 36 of the company's gas stations and determined that the average price for the stations in the sample was $1.04. Assume that the standard deviation of the population (o) is $0.12. a) State the null and the alternative hypotheses for testing the belief. b) Describe a Type I error and a Type II error for this situation. c) What is the critical value at a = .05? d) what's your What is the t-statistic or z-statistic associated with the above sample results?A set of exam scores is normally distributed with a mean = 76 and standard deviation = 10.Use the Empirical Rule to complete the following sentences.68% of the scores are between and .95% of the scores are between and .99.7% of the scores are between and .