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. in 47 47 27.3646 8.781948 26.3343 5.636805 X What are the null and alternative hypotheses? O A. Ho H1 H2 O B. H, H1=H2 H, Hy H2 O D. H, H1 #H2 H1: H1 < H2 The test statistic, t, is (Round to two decimal places as needed.) noeded)

The accompanying table gives results from a study of words spoken in a day by men and women. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that the numbers of words spoken in a day by men vary more than the numbers of words spoken in a day by women.   n x s   Men 185 15,667.8 8,632.5   Women 212 16,215.5 7,301.2   What are the null and alternative​ hypotheses?     A. H0​: σ21≠σ22 H1​: σ21=σ22   B. H0​: σ21=σ22 H1​: σ21>σ22   C. H0​: σ21=σ22 H1​: σ21<σ22   D. H0​: σ21=σ22 H1​: σ21≠σ22   Identify the test statistic.   F= ​(Round to two decimal places as​ needed.)   Use technology to identify the​ P-value.   The​ P-value is   ​(Round to three decimal places as​ needed.)   What is the conclusion for this hypothesis​ test?     A.Reject H0. There is insufficient evidence to support the claim that…

The accompanying table gives results from a study of words spoken in a day by men and women. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that the numbers of words spoken in a day by men vary more than the numbers of words spoken in a day by women.   n x s Men 187 15,668.9 8,632.2   Women 211 16,215.4 7,301.4   => Identify the test statistic.   ​(Round to two decimal places as​ needed.)   Use technology to identify the​ P-value.   ​(Round to three decimal places as​ needed.)   What is the conclusion for this hypothesis​ test?   reject/fail to reject?

When subjects were treated with a drug, their systolic blood pressure readings (in mm Hg) were measured before and after the drug was taken. Results are given in the table below. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Using a 0.01 significance level, is there sufficient evidence to support the claim that the drug is effective in lowering systolic blood pressure? Before 178 201 205 179 206 164 175 169 167 189 183 188 After 179 173 177 147 166 164 158 162 186 143 155 144 In this example, Ha is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the systolic blood pressure reading before the drug was taken minus the reading after the drug was taken. Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) than the significance level,…

Do men score lower on average compared to women on their statistics finals? Final exam scores of eleven randomly selected male statistics students and ten randomly selected female statistics students are shown below. Male:  77     76     91     77     56     83     77     71     65     59     66 Female:  84     99     75     87     89     68     85     99     80     80 Assume both follow a Normal distribution.  What can be concluded at the the αα = 0.10 level of significance level of significance? For this study, we should use Select an answer z-test for a population proportion z-test for the difference between two population proportions t-test for the difference between two independent population means t-test for a population mean t-test for the difference between two dependent population means  The null and alternative hypotheses would be:        H0:H0:  Select an answer μ1 p1  Select an answer ≠ = < >  Select an answer p2 μ2  (please enter a decimal)     H1:H1:  Select an…

The results of a state mathematics test for random samples of students taught by two different teachers at the same school are shown below. Can you conclude there is a difference in the mean mathematics test scores for the students of the two teachers?                                                                                                                                                                                                                                                                    Use α = 0.01. In addition, assume the populations are normally distributed and the population variances/standard deviations are not equal.   Teacher 1 Teacher 2 ?̅1 =  473 ?̅2 = 459 S1 = 39.7 S2 = 24.5 n 1 = 8 n 2 = 18   a. State the null and alternate hypotheses (write it mathematically) and write your claim.   b. Find the test statistic        c. Identify the Rejection region (critical region) and fail to reject region. Show this by drawing a curve and…

Sam works at the JJ Electronics Factory. JJ produces the A23 electronic component. The length, X, of an A23, is normally distributed with a meanu = 10 centimeters and a standard deviation o = 0.53 centimeters. Sam randomly selects 20 A23 components from the production line for quality control purposes and measures their lengths. Let M be the sample mean length of the measured A23 components. Let S be the total length of the measured A23 components. (i.e. sum of the 20 lengths. a) What is the probability that X 10.5? .3085 c) What is the probability that all of the 20 measurements are less than 11? .0171 d) What is the expected value of S? 200 e) What is the standard deviation of S? 2.37 f) What is the probability that S-200 >2? 1.99 g) What is the standard deviation of S-200 2.37 h) What is the expected value of M? 10 i) What is the standard deviation of M? .1187 j) What is the probability that M >10.1? .199 k) What is the standard deviation of 9M? 1.068 1) If the probability of X >k…

A researcher takes sample temperatures in Fahrenheit of 17 days from New York City and 18 days from Phoenix. Test the claim that the mean temperature in New York City is different from the mean temperature in Phoenix. Use a significance level of α=0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. New York City Phoenix 99 94.2 95.5 72 93.2 86.8 102 122.1 85.4 114.4 80 94.7 86.4 89.7 75.4 104.7 79.5 77.6 83.4 106.8 64.3 98.6 65.5 91.5 87.7 82 104 97.7 74.3 64.9 59.5 82 82.8 72   116.2 The Hypotheses for this problem are: H0: μ1 = μ2 H1: μ1μ2 Find the p-value. Round answer to 4 decimal places. Make sure you put the 0 in front of the decimal. p-value =

Use the data and table below to test the indicated claim about the means of two populations. Assume that the two samples are independent simple randor samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Make sure you identify all values. An Exercise Science instructor at IVC was interested in comparing the resting pulse rates of students who exercise regularly and the pulse rates of those who de not exercise regularly. Independent simple random samples of 16 students who do not exercise regularly and 12 students who exercise regularly were selected and the resting pulse rates (in beats per minute) were recorded. The summary statistics are presented in the table below. Is there compelling statistical evidence that the mean resting pulse rate of people who do not exercise regularly is greater than the mean resting pulse rate of people who exercise regularly? Use a significance value of 0.05. Two-Sample T-Test Sample…

Consider the following data for two independent random samples taken from two normal populations. Excel File: data10-11.xlsx Sample 1 10 7 13 7 9 8 Sample 2 8 7 8 4 6 9 a. Compute the two sample means. (to nearest whole number) 9. 7 b. Compute the two sample standard deviations. (to 2 decimals) S1 = 2.28 O 82 = 1.79 O c. What is the point estimate of the difference between the two population means? 2 d. What is the 90% confidence interval estimate of the difference between the two population means? (to 2 decimals and enter negative value as negative number) .05 3.95