The College Board reports that the scores on the math SAT were normally distributed with a mean of 525. A random sample of 15 students at your high school had a mean of 550 and a sample standard deviation of 105. What values of the sample mean would lead to rejection of the null hypothesis at the 0.01 level of significance?
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The College Board reports that the scores on the math SAT were
distributed
had a mean of 550 and a sample standard deviation of 105.
What values of the sample mean would lead to rejection of the null hypothesis at
the 0.01 level of significance?
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- The average American consumes 99 liters of alcohol per year. Does the average college student consume a different amount of alcohol per year? A researcher surveyed 10 randomly selected college students and found that they averaged 97.1 liters of alcohol consumed per year with a standard deviation of 16 liters. What can be concluded at the the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: H₁: Select an answer ✓ ?✓ Select an answer c. The test statistic ? ✓ d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should g. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. O The data suggest the population mean is not significantly different from 99 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by…A researcher claims that , in. a certain city, the average yearly consumption of milk per person is 27.9 gallons. We wish to test the validity of the claim, so we perform a study. We test 75 people and we find that their average yearly consumption of milk is 26 gallons . The standard deviation of the population is 9 gallons. Use .05 level of significance. Determine the validity of the researcher's claim.The manufacturer claims that your new car gets 24 mpg on the highway. You suspect that the mpg is a different number for your car. The 43 trips on the highway that you took averaged 22.9 mpg and the standard deviation for these 43 trips was 8.5 mpg. What can be concluded at 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 answerv H1: 7 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 ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest that the sample mean is not significantly different from 24 at a = 0.05, so there is statistically insignificant evidence to conclude that the sample mean mpg for your car on the highway is different from 22.9. O The data suggest that the populaton mean…
- It is commonly believed that the mean body temperature of a healthy adult is 98.6° F. You are not entirely convinced. You believe that it is not 98.6° F. You collected data using 44 healthy people and found that they had a mean body temperature of 98.19° F with a standard deviation of 1.17° F. Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is not 98.6° F. a) Identify the null and alternative hypotheses? Ho:[? v b) What type of hypothesis test should you conduct (left , right , or two-talled)? O left-tailed Oright talled O two tailed c) Identify the appropriate significance level. d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places. e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places. null hvoothosis? esc 000 000 F1 F2 F3 F4 F5 F6 @ # $ % 1 2 3 4 5 6 品A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a mean different than the 600mg claimed by the manufacturer. Test this claim at the .01 significance level. The mean acetaminophen content for a random sample of n = 29 tablets is 597.9 mg with a standard deviation of 3.8 mg. What are the hypotheses? What is the test statistic? Is it a z or a t? Find the P-value for this test statistic. How does it compare to the significance level? On the normal curve, indicate the location of the test statistic and the p-value. (label them on the graph) Write a conclusion in statistical terms and relate it to the parameters of this problem.Do political science classes require less writing than history classes? The 43 randomly selected political science classes assigned an average of 14.6 pages of essay writing for the course. The standard deviation for these 43 classes was 5.9 pages. The 52 randomly selected history classes assigned an average of 15.4 pages of essay writing for the course. The standard deviation for these 52 classes was 4.5 pages. What can be concluded at the a= 0.01 level of significance? For this study, we should use t-test for the difference between two independent population means a. The null and alternative hypotheses would be: Ho: 1 H₁: 1 C O μ2 C Add Work μ2 b. The test statistic t c. The p-value = 0.2279 d. The p-value is ? a e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... 0.749 (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) O The results are statistically insignificant at a = 0.01, so there…
- Two species of fish have similar phenotypes to each other, researchers wonder if they can classify these fish species based on their sizes. One species has mean size of 10cm, with standard deviation of 1. The other species has mean size of 12cm, with standard deviation of 2. Size of 15 fish from each species were measured. a. Which hypothesis testing method can be used to compare the mean size of the two populations? Perform the test for a = 0.01. How does result of this test help the researchers to decide if they can classify these fish species based on their sizes? b. What is the power of the test? How does power of the test help the researchers to decide if they can classify these fish species based on their sizes?Justine is an analyst for a sleep study center. She believes that the average adult in a certain city spends more than 7.2 hours sleeping daily. To test this claim, she selects a random sample of 63 adults from the city. The following is the data from this study: The alternative hypothesis Ha:μ>7.2. The sample mean number of hours slept per night by the 63 adults is 7.52 hours. The sample standard deviation is 1.14 hours. The test statistic is calculated as 2.23. Using the information above and the portion of the t− table below, choose the correct p− value and interpretation for this hypothesis test. Values for right-tail areas under the t-distribution curve Probability 0.10 0.05 0.025 0.01 0.005 Degrees of Freedom 60 1.296 1.671 2.000 2.390 2.660 61 1.296 1.670 2.000 2.389 2.659 62 1.295 1.670 1.999 2.388 2.657 63 1.295 1.669 1.998 2.387 2.656 64 1.295 1.669 1.998 2.386 2.655 65 1.295 1.669 1.997 2.385 2.654 66 1.295 1.668 1.997 2.384 2.652…NebNas manages the credit department for a grocery store chain in the province, and she would like to determine whether the mean monthly balance of credit card holders is equal to $95. A random sample of 100 accounts indicated that the mean owed is $101.5 with a sample standard deviation of $25.6. If she wanted to test whether the mean balance is different from $95 and decided to reject the null hypothesis, what will be the p-value of the test?
- A quiz related to digital knowledge was conducted. The quiz had 10 questions and covered topics such as the purpose of browser cookies, phishing scams, and privacy policies. The survey was given to 50 people. The mean score is 4.1 with a standard deviation of 2.6. We want to know if the data provide evidence that the mean score in the population is lower than 5. We will use alpha = 0.05 to make our decision. What is the null hypothesis for this question? Group of answer choices a. The proportion of people who pass the test is 5. b. The mean test score of the population is 5. c. The mean test score of the 50 people who took the test is 5. d.The standard deviation is 2.6As Director of Admissions at Garden Valley University, you believe that the average age of full-time students (Group 1) is less than the average age of part-time students (Group 2). You sample 45 full-time students, and the sample mean age is 22.3 with a standard deviation of 4.8. You sample 50 part-time students, and the sample mean age is 24.3 with a standard deviation of 5.6. Test the claim using a 2% level of significance. Assume the population standard deviations are unequal and that both populations are normally distributed. Where necessary, round results accurate to 4 decimal places. a. What are the correct hypotheses? Null: Ο Ho: μ = 0 O Ho: ₁ = ₂ Ho: M₁ M₂ Ο Ho: μ = 22.3 Alternative: Ο HA: Mı # με Ο HA: μ. > με HA: ₁2 HA: < 0 Ο HA: μ + 22.3 b. What is the correct distribution to use for the test? Select an answer c. What is the test statistic? d. What is the p-value? p-value = e. The correct decision is to Select an answer f. INTERPRET the conclusion in the context of the…Contrary to popular opinion, a psychologist claims that the mean IQ score of math instructors is more than 100. She surveyed 25 of them and found their mean at 120 with a standard deviation of 30. Which significance level will reject the null hypothesis completely? A a> 0.14% B a <0.14% a ≥ 0.14% a ≤ 0.14% D
