The statistic was calculated and reported as 12.98. Using a = .05, should the null hypothesis be rejected?
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- Can someone help me? :/Suppose a baker claims that her bread height is more than 13 cm, on average. Several of her customers do not believe her, so the baker decides to do a hypothesis test, at a 10% significance level, to persuade them. She bakes 25 loaves of bread. The mean height of the sample loaves is 13.8 cm. The baker knows from experience that the standard deviation for her bread height is 0.9 cm. H0: μ≤13; Ha: μ>13 α=0.1 (significance level) What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?the head of public safety notices that the average driving speed in a parking structure averages 2.55 mph with a standard deviation of 0.5 mph. after a school speed limit sign of 5 mph is placed at an intersection, the first 30 cars travel past at an average speed of 2.76 mph. a. using the five steps of hypothesis testing, was the group of 30 cars' mph different from the driving speed of cars in general in this parking lot? (use the .05 significance level.) be sure to sketch the distributions involved. be sure to fully state the five steps and show all calculations/work. b. additionally, explain the logic of what you did to a person who understands hypothesis testing for studies in which the sample consists of a single individual but is unfamiliar with hypothesis testing involving a sample of more than one individual. (be sure your explanation includes a discussion of the distribution of means--what it is, what it is made of, the concept of how it is created, how it's characteristics…
- A population mean is 13. The sample mean is 12.8, and the sample standard deviation is 2. The sample size is 20. What standard error would you use to conduct a hypothesis test on the mean?The following hypotheses are given to determine an One-Tail testing. H0: p≤0 Ha: p >0 A random sample of 10 paired observations indicated a correlation (r) of .35. Can we conclude that the correlation in the population is greater than zero by performing the t-statistic? By using the .05 significance level, what is the p-value or critial value?____________ What is your decision regarding Ho or the null hypothosis? The Airline Passenger Association studied the relationship between the number of passengers on a particular flight and the cost of the flight. It seems logical that more passengers on the flight will result in more weight and more luaggage, which in turn will result in higher fuel costs. For a sample of 13 flights, the correlation between the number of passengers and total fuel cost was .37. Is it reasonable to conclude that there is positive association in the population between the two variables? H0: p≤0 Ha: p >0 The…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…A random sample of 49 cans of soda is obtained and the contents are measured. The sample mean is 12.01 oz and the standard deviation is 0.13 oz. Test the claim that the contents of all such cans have a mean different from 12.00 oz, as indicated by the label. Use a 0.05 significance level. Find the Z score And the P value. Do you reject the hypothesis?65 homeless people in San Jose were asked their age. The sample mean age was 33.2 years. Let x be a random variable representing ages of homeless people in San Jose. Assume that x has a normal distribution and o = 7.3 years. Do the data indicate that the mean age of the population of homeless people in San Jose is less than 35 years old? Use a = 0.05. Identify the following in your answer. 1. Identify the null hypothesis Ho and alternate hypotheses H, for the problem. 2. Identify the sample statistic, test statistic, p-value and calculator key used: Sample Statistic (sample mean) (Stated in problem) = Test Statistic (z) (Round to two decimal places) %3D P-value: (Round to four decimal places) = Calculator key used: 3. Identify the significance level and determine if you reject or fail to reject the null hypothesis. significance level = Do you reject or fail to reject Ho ? 4. State your conclusion. Upload your answer. Remember you can only upload one document. Upload Choose a File
- An archer’s standard deviation for his hits is six (data is measured in distance from the center of the target). An observer claims the standard deviation is less.a. What type of test should be used?b. State the null and alternative hypotheses.c. Is this a right-tailed, left-tailed, or two-tailed test?Determine the null and alternative hypotheses.In the past, the mean running time for a certain type of radio battery has been 9.6 hours. The manufacterer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has changed as a result. Choose the best asnwer below A. H0: μ ≥ 9.6 hoursHA: μ = 9.6 hours B. H0: μ > 9.6hoursHA: μ > 9.6 hours C. H0: μ ≠ 9.6 hoursHA: μ = 9.6hours D. H0: μ = 9.6hoursHA: μ > 9.6 hours E. H0: μ = 9.6 hoursHA: μ ≠ 9.6 hoursNeed asap 19. A vendo machine is designed to fill plastic cups with 19 ounces of orange juice. A costumer suspects that the machine is not filling the plastic cups completely. A sample of 35 cups has a mean of 18.7 ounces and a standard deviation 0.9 ounce. Is there enough evidence to support the consumer’s claim at α=0.01? What is the value of the statistical test? A. 2.97B. -2.97C. -1.97D. 1.9720. In t – test, if the population standard deviation is unknown what is used to replace the population standard deviation?A. sample sizeB. population varianceC. sample standard deviationD. hypothesis standard deviation21. Which of the following does not describe a null hypothesis?A. It is denoted by HoB. It has a statement of equalityC. It is the hypothesis to be testedD. It states a specific difference between a parameter and statistics22. A group of researchers wants to test the truth in the company’s claim that the travel time from Manila…