Consider the following hypothesis test. Ho: # 12 Ha: #> 12 A sample of 25 provided a sample mean - 14 and a sample standard deviations - 4.27. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) (b) Use the t distribution table to compute a range for the p-value. p-value> 0.200 0.100 < p-value < 0.200 0.050
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- A century ago, the average height of adult women in the United States was 63 inches. Researchers believe that the average might be greater today. A random sample of 40 adult women was selected from the population. The sample had mean 64.2 inches and standard deviation 2.9 inches. Assuming all conditions for inference are met, the researchers will perform an appropriate hypothesis test to investigate their belief. Which of the following is the correct test statistic for the hypothesis test? A t = 63-64.2 2.9 63-64.2 2.9 t 3= 63-64.2 29 40 64.2-63 t 3= 2.9 64.2-63 t = 2.9 US 1 DELL 么 & %24 %23 || E.st • Question 14 You wish to test the following claim (Ha) at a significance level of a = 0.002. H.:p = 51.2 H.:p > 51.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 69 58.6 62.8 sUcfocthis sampls/Repout.answeraccurato three ec(1 point) | Question Attempt: 1 of 1 Deshu 5. 7 9. 10 We want to conduct a hypothesis test of the claim that the population mean reading speed of second graders is different from 30.2 words per minute. So, we choose a random sample of students' reading speeds. The sample has a mean of 29.8 words per minute and a standard deviation of 2.2 words per minute. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 85, and it is from a non-normally distributed population with a known standard deviation of 3.2. O t = O It is unclear which test statistic to use. (b) The sample has size 18, and it is from a normally distributed population with an unknown standard deviation. Ot = 3D O It is unclear which test statistic to use. Continue Save For Later Submit Assignment O 2020 McGraw-Hill Education. All Rights Reserved. Terms…
- Use the following scenario to answer the next 6 questions. An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 30 engines and the mean pressure was 4.8 psi with a standard deviation of 1 psi. If the valve was designed to produce an overall mean pressure of 5.0 psi, is there sufficient evidence at the 10% level of significance that the valve performs below specifications? The appropriate hypothesis test for this scenario is: Group of answer choices right-tailed two-tailed left-tailedWe want to conduct a hypothesis test of the claim that the population mean daily profit of a convenience store is more than 568 dollars. So, we record the daily profit for a random sample of days. The sample has a mean of 571 dollars and a standard deviation of 72 dollars. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 13, and it is from a normally distributed population with a known standard deviation of 76. Oz = = O -0 O It is unclear which test statistic to use. (b) The sample has size 12, and it is from a population with a distribution about which we know very little. -0 O Z= = O It is unclear which test statistic to use. X 5We want to conduct a hypothesis test of the claim that for middle-aged adults the population mean of their cholesterol levels is less than 198.9 mgdL. We choose a random sample of such levels. The sample has a mean of 195.9 mgdL and a standard deviation of 19.5 mgdL. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size15, and it is from a population with a distribution about which we know very little. z = t = It is unclear which test statistic to use. (b) The sample has size 19, and it is from a normally distributed population with an unknown standard deviation. z = t = It is unclear which test statistic to use.
- We want to conduct a hypothesis test of the claim that for middle-aged adults the population's mean of their cholesterol levels is more than 199.3 mgdL. We choose a random sample of such levels. The sample has a mean of 197.3 mgdL and a standard deviation of 19.5 mgdL. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 105, and it is from a non-normally distributed population with a known standard deviation of 19.2. z = t = It is unclear which test statistic to use. (b) The sample has size 12, and it is from a normally distributed population with an unknown standard deviation. z = t = It is unclear which test statistic to use."On the Standford-Binet test, the mean IQ is 100. A class of 13 kindergarten pupils were tested with a resulting mean of 94 and a standard deviation of 4.65. Does this group have a mean significantly different than the norm group? Use 0.01 as your level of significance. What are the given information? population mean:Blank 1 sample size:Blank 2 sample mean:Blank 3 sample standard deviation:Blank 4 level of significance:Blank 5 degrees of freedom: Blank 6 What are the critical values? Write the positive first then the negative t:Blank 7 andBlank 8 What is the value of the calculated t? Round your answer to the nearest hundredths. t:Blank 9"A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. a. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? A. Ho: M₁ = ₂ H₁: H₁ H₂ C. Ho: M₁ = H2 H₁: H₁ H₂ The test statistic, t, is (Round to two decimal places as needed.) B. Ho: H₁ H₂ H₁ H₁The mean voltage and standard deviation of 10 batteries from each manufacturer were measured. The results are summarized in the following table. Manufacturer Sample mean voltage (millivolts) Sample standard deviation (millivolts) A 136 3 B 132 5 What type of hypothesis test should be performed? What is the test statistic? What is the number of degrees of freedom? Does sufficient evidence exist to support the claim that the voltage of the batteries made by the two manufacturers is different at the α=0.1 significance level?2. Average Senior High School annual cost of tuition fee for all private schools last yearwas Php43,700. A random sample of costs this year for 45 private schools indicatedthat the sample mean was Php45,800 and a sample standard deviation was Php5,600.At 0.01 level of significance, is there sufficient evidence to conclude that the costincreased?Solution:Step 1: State the hypothesis.?0: _____________________________________________________________?1: _____________________________________________________________Step 2: The level of significance and critical region.? = ________ and the ????????? = __________Step 3: Compute for the value of one sample t test. ????????? = _______Step 4: Decision Rule.___________________________________________________________________________________________________.Step 5: Conclusion:____________________________________________________________________________________________________________________________________________________________________________.3.…a. State the null and alternative hypothesis.SEE MORE QUESTIONS