Using traditional methods it takes 10.6 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique on 17 students and observed that they had a mean of 10.4 hours with a variance of 2.25. Is there evidence at the 0.025 level that the technique reduces the training time? Assume the population distribution is approximately normal. Step 1 of 5: State the null and alternative hypotheses.
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- 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)Suppose a researcher is interested in a new treatment plan for increasing CD4 cell count in immune-compromised patients with HIV. In order to investigate the new drug, the researcher gathers a group of 48 individuals with a mean CD4 count of 317 cells/mm3 after treatment with a standard deviation of 24.6. Test the hypothesis that the mean CD4 count has increased above the goal of 275 cells/mm3. Write out your hypotheses and correctly interpret your pvalue. (Use an alpha level of 0.01)Consider the mean cost of getting a four-year college degree. The middle interval which captures 95% of mean costs from samples of n = 75 graduates is (x̅₁, x̅₂) = $60,142 $68,446 25 What is the population mean cost of getting a college degree? a $62,384 b $63,014 c $63,651 d $64,294
- A group of local businessmen is thinking about developing land into a shopping mall. To evaluate the desirability of the location, they count the number of shoppers who visit the neighboring shopping center each day. A random sample of 54 days reveals a daily average of 126 shoppers with a standard deviation of 48 shoppers. The businessmen will develop the land if the average number of shoppers per day is more than 110. Based on the sample data, should the businessmen develop the land? Perform a hypothesis test and use a significance level of a = 0.10. Assume the population of the number of daily shoppers is approximately normally distributed. Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.SCENARIO 3 Two samples each of size 25 are taken from independent populations assumed to be normally distributed with equal variances. The first sample has a mean of 35.5 and a standard deviation of 3.0 while the second sample has a mean of 33.0 and a standard deviation of 4.0. Referring to Scenario 3. the pooled (i.e., combined) variance is ________Question 1 It is necessarý for an automobile producer to test the hypothesis that the mean number of miles per gallon achieved by its cars is 28 against the alternative hypothesis that it is not 28. The standard deviation of the number of miles per gallon achieved by the company's cars is 6. Suppose that the mean number of miles per gallon for a sample of 100 cars is 26.2. On the basis of this result, should the company reject the hypothesis that the population mean is 28? Why, or why not? Use a=0.05.
- The director of Computer Associates, Inc (CAI) has been assigned the task of developing the profile of the company’s employees. The characteristics identified include the annual salary and if the employee completed the company’s management trainee program. Data for ALL employees (the population) is presented in the Worksheet CAI. The data on employees is assumed to be normally distributed. a. What is the probability that a random sample of 64 employees will provide a sample mean within $1,000 of the population mean? (USE 4 DECIMALS) b. What is the probability that a random sample of 64 employees will provide a sample mean that is $500 greater than the population mean? (USE 4 DECIMALS) c. What is the probability that a random sample of 64 employees will provide a sample mean that is $400 less than the population mean? (USE 4 DECIMALS) d. What is the probability that a random sample of 64 employees will provide a sample proportion within 0.10 of the population proportion? (4 DECIMALS) e.…You may need to use the appropriate appendix table or technology to answer this question. Studies show that massage therapy has a variety of health benefits and it is not too expensive. A sample of 14 typical one-hour massage therapy sessions showed an average charge of $58. The population standard deviation for a one-hour session is a - $5.5. (a) What assumptions about the population should we be willing to make if a margin of error is desired? We should be willing to make the assumption that the population is at least approximately uniform. We should be willing to make the assumption that the population is at least approximately normal. We should be willing to make the assumption that the population is at least approximately skewed right. We should be willing to make the assumption that the population is at least approximately bimodal. We should be willing to make the assumption that the population is at least approximately skewed left. (b) Using 95% confidence, what is the margin of…An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 4.34.3 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 280280 engines and the mean pressure was 4.44.4 pounds/square inch. Assume the variance is known to be 0.640.64. A level of significance of 0.050.05 will be used. Make a decision to reject or fail to reject the null hypothesis. Make a decision.
- You hope to rent an unfurnished one-bedroom apartment in Dallas next year. You call a friend who lives there and ask him to give you an estimate of the mean monthly rate. Having recently taken a statistics course, your geeky friend asks about the desired margin of error and confidence level for the estimate. He also tells you that the standard deviation of monthly rents for one-bedrooms is $360. Explain why in either case your geeky friend's sample may result in a bigger margin of error than desired. A bigger margin of error might result due to O rounding O a smaller guessed value for the population standard deviation sg O smaller confidence interval O a larger sample sizeArbitron Media Research Inc. conducted a study of the iPod listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for a sample of 9 men was 32 minutes per day. The standard deviation was 21 minutes per day. The mean listening time for a sample of 9 women was also 32 minutes, but the standard deviation of the sample was 8 minutes. Use a two-tailed test and at 0.02 significance level, can we conclude that there is a difference in the variation in the listening times for men and women? (Round your answer to 3 decimal places.) The test statistic is .Decision: H0:σ21=σ22.Not sure what is the next step