A random sample of size n = 19 observations was drawn from a normal population with variance o? = 3.1. The sample mean was = 22.5. The researcher's interest was to defend that the population mean u > 25. Write the null and alternative hypotheses for the test.
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- A student at a university wants to determine if the proportion of students that use iPhone's is less than 0.38. The hypotheses for this scenario are as follows. Null Hypothesis: p = 0.38, Alternative Hypothesis: p < 0.38. If the student randomly samples 29 other students and finds that 12 of them use iPhone's, what is the test statistic and p-value?ou wish to test the following claim (Ha) at a significance level of α=0.005. Ho:μ1=μ2 Ha:μ1≠μ2You believe both populations are normally distributed, but you do not know the standard deviations for either, and you have no reason to believe the variances of the two populations are equal. You obtain a sample of size n1=18 with a mean of M1=81.6 and a standard deviation of SD1=8.2 from the first population. You obtain a sample of size n2=23 with a mean of M2=88.9 and a standard deviation of SD2=5.8 from the second population. What is the test statistic for this sample? (Report answer accurate to two decimal places.) test statistic =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
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- One study compared the differences between the expected values of two groups, i.e. tested the null hypothesis that the expected values are equal. The sample size of the first group (x-observations) was 55 and the sample size of the second group (y-observations) was 60. The following data was obtained.X=113.6, Y= 111.7S2x=32.4S2y=30.1Assume large sample sizes and use a test size and two-tailed test appropriate for this setting. Calculate the p-value of the test. Give the answer to two decimal places. Remember the correct decimal separator.Use a significance level of a=0.05 to test the claim that μ=19. The sample data consists of 15 scores for which x=20.4 and s=4.8. State the null and alternative hypotheses, compute the value of the test statistic, and find the P-value for the sample. State your conclusions about the claim.A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 436 gram setting. Based on a 20 bag sample where the mean is 433 grams and the variance is 121, is there sufficient evidence at the 0.025 level that the bags are underfilled? Assume the population distribution is approximately normal. Step 1 of 5 : State the null and alternative hypotheses.