The test statistics is
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. A sample
Sample mean = 3.12 s = 0.59 n = 9 α = 0.01
H0: µ = 2.85
H1: µ > 2.85
The test statistics is (Round to three decimal places)
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- Male BMI Female BMI H1 H2 Given in the table are the BMI statistics for random samples of men and women. 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. Use a 0.05 significance level for both parts. 44 44 27.0913 26.5905 7.881115 5.323099 a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? O B. Ho: H1 = H2 H1: H1> H2 O A. Ho: H1 H2 H: H1A data set lists earthquake depths. The summary statistics are n = 400, × = 5.92 km, s = 4.67 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00. Assume that a simple random sample has been selected. Determine the test statistic. Round to the 2 decimal place Determine the P-value. Round to the third decimal place. Data on the weights of the contents of cans of diet soda versus the contents of regular soda is summarized to the right. 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. Use a 0.5 significance level for both. A. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? The test statistic, t, is: (round to two decimal places as needed)1. Find the standardized test statistic. t = ____. 2. Find the P-value. P = ____.Test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Use a significance level of 0.01. Sample 1: n1=100, x¯1=13, s1=0.5. Sample 2: n2=67, x¯2=15, s2=5. The test statistic is The P-Value isGiven in the table are the BMI statistics for random samples of men and women. 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. Use a 0.01 significance level for both parts. Male BMI Female BMI μ μ1 μ2 n 46 46 x 27.9037 26.0738 s 7.999314 4.011941 * find the T stat * find the P Value * Recall the significane levelA 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. Men Women μ μ1 μ2 n 11 59 x 97.54°F 97.46°F s 0.95°F 0.63°F Question content area bottom Part 1 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. H0: μ1=μ2 H1: μ1≠μ2 B. H0: μ1≠μ2 H1: μ1<μ2 C. H0: μ1=μ2 H1: μ1>μ2 Your answer is correct. D. H0: μ1≥μ2 H1: μ1<μ2 Part 2 The test statistic, t, is 0.270.27. (Round to two decimal places as needed.) Part 3 The P-value is enter your response here. (Round to three decimal places as…Cadmium, a heavy metal, is toxic to animals. Mushrooms, however, are able to absorb and accumulate cadmium at high concentrations. Some governments have a safety limit for cadmium in dry vegetables at 1.9 parts per million (ppm). A hypothesis test is to be performed to decide whether the mean cadmium level in a certain mushroom is less than the government's recommended limit. Complete parts (a) through (c) below. a. Determine the null hypothesis. HoiH ppm (Type an integer or a decimal. Do not round.)Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. 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. Use a 0.05 significance level for both parts. Diet Regular μ μ1 μ2 n 21 21 x 0.78629lb 0.81612lb s 0.00442lb 0.00748lb =< The test statistic, t, is __ (round to two decimal places) The P-value is __ (round to three decimal places) State the conclusion for the test. A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. B. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean…A study was done using a treatment group and a placebo group. 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. Use a 0.10 significance level for both parts Treatment Placebo μ μ1 μ2 n 28 32 x 2.35 2.61 s 0.95 0.66 What is the null and alternative hypotheses? The test statistic, t, is? The P-value is? Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. ?<μ1−μ2<?Independent random samples taken at two companies provided the following information regarding annual salaries of the employees. The population standard deviations are also given below. We want to determine whether or not there is a significant difference between the average salaries of the employees at the two companies. Company A Company B Sample Size 43 40 Sample Mean (in $1000) 47 42 Population Standard Deviation (in $1000) 12 10 A point estimate for the difference between the population A mean and the population B mean is The test statistic is: (round to 4 decimals) The p-value is: (round to 4 decimals) At the 5% level of significance, the conclusion is:Use a 0.01 significance level to test the claim that the two samples of Yttrium concentrations (in ppm) are from populations with the same mean. Sample 1 30 X1 = 70.29 S1 22.19 Sample 2 n2 32 X2 = 74.26 S2 18.05 d.f.=29 to.005 = 2.756 to.01 = 2.462 to.025 = 2.045 to.05 = 1.669 to.10 = 1.311SEE MORE QUESTIONS
