Find the expected counts in each category using the given sample size and null hypothesis. 0.60, PB = 0.25, Pc = 0.15, n = 400 Enter the exact answers. Category Expected count i A Ho: PA = i B i C
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- 1Magnetic surveying is one technique used by archaeologists to determine anomalies arising from variations in magnetic susceptibility. Unusual changes in magnetic susceptibility might (or might not) indicate an important archaeological discovery. Let x be a random variable that represents a magnetic susceptibility (MS) reading for a randomly chosen site at an archaeological research location. A random sample of 120 sites gave the readings shown in the table below. Magnetic Susceptibility Readings,centimeter-gram-second ✕ 10−6 (cmg ✕ 10−6) Comment MagneticSusceptibility Number ofReadings EstimatedProbability "cool" 0 ≤ x < 10 24 24/120 = 0.20 "neutral" 10 ≤ x < 20 60 60/120 = 0.50 "warm" 20 ≤ x < 30 24 24/120 = 0.20 "very interesting" 30 ≤ x < 40 6 6/120 = 0.05 "hot spot" 40 ≤ x 6 6/120 = 0.05 Suppose a 'hot spot' is a site with a reading of 40 or higher. A. In a binomial setting, let us call success a 'hot spot'. Use the table to find p=…Men Women H1 H2 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. n 11 59 97.54°F 0.78°F 97.41°F 0.64°F 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? O A. Ho: H1 = H2 H1: H1 H2 O B. Ho: H1 =H2 H1: H1> H2 OC. Ho: H1 H2 O D. Ho: H1 2 H2 H1: H1Determine the Test statistic. Determine the P-Value. State the final conclusion that addresses the original claim.The accompanying data table lists the magnitudes of 50 earthquakes measured on the Richter scale. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.05 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion for the test. Assume this is a simple random sample. A. Identify the test statistic. t equals (Round to two decimal places as needed.) B. Identify the P-value. The P-value is (Round to three decimal places as needed.)Three randomly selected children are surveyed. The ages of the children are 2, 3, and 10. Assume that samples of size n = 2 are randomly selected with replacement from the population of 2, 3, and 10. Listed below are the nine different samples. Complete parts (a) through (d). 2,2 2,3 2,10 3,2 3,3 3,10 10,2 10,3 10,10 a. Find the value of the population variance o². (Round to three decimal places as needed.)Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. A researcher was interested in comparing the GPAs of students at two different colleges. Independent simple random samples of 8 students from college A and 13 students from college B yielded the following GPAs. College A 3.7 3.2 3.0 2.5 2.7 3.6 2.8 3.4 College B 3.8 3.2 3.0 3.9 3.8 2.5 3.9 2.8 4.0 3.6 2.6 4.0 3.6 Construct a 95% confidence interval for μ1−μ2, the difference between the mean GPA of college A students and the mean GPA of college B students. Round to two decimal places. (Note: x1=3.1125, x2=3.4385, s1=0.4357 s2=0.548513Treatment Placebo 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 0.05 significance level for both parts. H1 H2 n 26 34 2.32 2.66 0.61 0.99 "TPL P2 OC. Ho: H1 H2 The test statistic, t, is -1.64. (Round to two decimal places as needed.) The P-value is 0.107. (Round to three decimal places as needed.) State the conclusion for the test. A. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. B. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. C. Fail to reject the null hypothesis. There is not sufficient evidence…Calculate the variance of the following data assume sample data: YOU MUST USE TWO DECIMAL PLACES FOR THE MEAN THROUGHOUT YOUR CALCULATION Tigers Frequency 1 4 9 8 CO 13 8 CO 17 21 10 9 ANSWER INSTRUCTION: Round your answer to two decimal places then enter them in the answer box.What does the t test for the difference between the means of 2 independent populations assume? A. The sample sizes are equal. B. The sample variances are equal. C. The populations are approximately normal. D. All of the aboveTest the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed. Claim: H. = 0; a 0.05. Sample statistics: d = 3.2, s, =8.49, n=9 Identify the null and alternative hypotheses. Choose the correct answer below. O B. Ho: Ha 0 H: Hg =0 O A. Ho: Ha s0 H: Hg>0 O D. Ho: Ha>0 H: Hg sO OC. H,: Ha <0 Ha: Ha 20 O E. H, Ha 20 F. Ho: Ha=0 Ha: H #0 The test statistic is t= (Round to two decimal places as needed.)SEE MORE QUESTIONS