ne average gasoline price of one of the major oil companies in Oman has been UMR 0.95 per galloh. The company ot interested in increasing or decreasing the current prices of gasoline. A random sample of 36 of their gas station selected and the average price is determined to be OMR 0.945 per gallon. Furthermore, assume that the populat andard deviation is OMR 0.024. Then the 90% critical value for this hypothesis test is O a. ±1.25 O b. +1.645
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- The mean SAT score in mathematics, u, is 586. The standard deviation of these scores is 29. A special preparation course claims that its graduates will score higher, on average, than the mean score 586. A random sample of 50 students completed the course, and their mean SAT score in mathematics was 588. At the 0,1 level of significance, can we conclude that the preparation course does what it daims? Assume that the standard deviation of the scores of course graduates is also 29. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alterative hypothesis H. H, : H, :1 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e)…The mean SAT score in mathematics is 513. The standard deviation of these scores is 49. A special preparation course claims that the mean SAT score, μ, of its graduates is greater than 513. An independent researcher tests this by taking a random sample of 70 students who completed the course; the mean SAT score in mathematics for the sample was 517. At the 0.05 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 513? Assume that the population standard deviation of the scores of course graduates is also 49. Perform a one-tailed test. 1. I just need to know what the test statistic is rounded to 3 or more decimal places.An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 200 engines and the mean pressure was 4.4 lbs/square inch. Assume the standard deviation is known to be 0.9. If the valve was designed to produce a mean pressure of 4.5 lbs/square inch, is there sufficient evidence at the 0.02 level that the valve performs below the specifications? State the null and alternative hypotheses for the above scenario.
- The mean SAT score in mathematics is 537. The standard deviation of these scores is 31. A special preparation course claims that the mean SAT score, μ, of its graduates is greater than 537. An independent researcher tests this by taking a random sample of 70 students who completed the course; the mean SAT score in mathematics for the sample was 547. At the 0.01 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 537? Assume that the population standard deviation of the scores of course graduates is also 31. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) Español ? (a) State the null hypothesis H, and the alternative hypothesis H₁. μ σ р x❘ S H₁ : (b) Determine the type of test statistic to use. (Choose one)▼ (c) Find the value of the test statistic.…A sample of 9 cans of Brand A diet soda gave the mean number of calories of 66.1 per can with a standard deviation of 2.4 calories. Another sample of 16 cans of Brand B diet soda gave the mean number of calories of 68.7 per can with a standard deviation of 4.5 calories. Assume that the calories per can of diet soda are normally distributed for both brands with equal standard deviations. State and test the hypothesis that Brand A has lower mean number of calories per can than Brand B at 5% significance level.The mean SAT score in mathematics is 554. The standard deviation of these scores is 39. A special preparation course claims that the mean SAT score, µ, of its graduates is greater than 554. An independent researcher tests this by taking a random sample of 60 students who completed the course; the mean SAT score in mathematics for the sample was 567. At the 0.01 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 554? Assume that the population standard deviation of the scores of course graduates is also 39. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H. and the alternative hypothesis H,. Ho : H, :0 (b) Determine the type of test statistic to use. D=0 OSO (Choose one) (c) Find the value of the test statistic. (Round to…
- The mean SAT score in mathematics is 584 . The standard deviation of these scores is 33 . A special preparation course claims that the mean SAT score, μ , of its graduates is greater than 584 . An independent researcher tests this by taking a random sample of 27 students who completed the course; the mean SAT score in mathematics for the sample was 590 . Assume that the population is normally distributed. At the 0.05 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 584 ? Assume that the population standard deviation of the scores of course graduates is also 33 . Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)The mean SAT score in mathematics is 228. The standard deviation of these scores is 30. A special preparation course claims that the mean SAT score, H, of its graduates is greater than 258. An independent researcher tests this by taking a random sample of 20 students who completed the course; the mean SAT Score in mathematics for the sample was 209. At the 0.05 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 2587 Assume that the population standard deviation of the scores of course graduates is also 30. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) state the null hypothesis H, and the alternative hypothesis H. H :0 H :0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more…Over the years, the mean customer satisfaction rating at a local restaurant has been s0. The restaurant was recently remodeled, and now the management claims the mean customer rating, u, is not equal to so. In a sample of 54 customers chosen at random, the mean customer rating is 75.4. Assume that the population standard deviation of customer ratings is 21.2. Is there enough evidence to support the claim that the mean customer rating is different from so? Perform a hypothesis test, using the 0.0s level of significance. (a) State the null hypothesis , and the alternative hypothesis OSO H: D (b) Perform a z-test and find the p-value. Here is some information to help you with your z-test. • The value of the test statistic is given by • The p-value is two times the area under the curve to the left of the value of the test statistic. Normal Distribution Step 1: Select one-tailed or two-tailed O One-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) (Round to…
- The mean SAT score in mathematics, u, is 596. The standard deviation of these scores is 47. A special preparation course clalms that its graduates will score higher, on average, than the mean score 596. A random sample of 90 students completed the course, and their mean SAT score in mathematics was 608. At the 0.05 level of significance, can we condude that the preparation course does what it claims? Assume that the standard deviation of the scores of course graduates is also 47. Perform a one-talled test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H, :0 (b) Determine the type of test statistic to use. OSO (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal…Over the years, the mean customer satisfaction rating at a local restaurant has been 79. The restaurant was recently remodeled, and now the management claims the mean customer rating, H, is not equal to 79. In a sample of 21 customers chosen at random, the mean customer rating is 78.3. Assume that the population standard deviation of customer ratings is 7.0. Is there enough evidence to support the claim that the mean customer rating is different from 797 Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H. H: 0 D=0 OO ? (b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some ather information to help you with your test. Enos is the value that cuts off an area of 0.05 in the right tail. I-u The test statistic has a normal distribution and the value is given by %= Standard Normal Distribution Step 1: Select ane-lailed or twa-tailed. O One-lailed O…