A non-significant result may be caused by a: a. very cautious significance level b. large sample size c. false null hypothesis d. All of these
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- B. A sample data has a distribution that has a single mode and is strongly positively skewed. An analyst computes three measures of location for this data; the mean, the median and mode. (i) State the largest of these three location measures. (ii) Suggest, with a reason, which would be the best measure of location.Given the following hypothesis ( null and alternative ), test statistic, and sample size, find the appropriate P- Value: A. H0: p= .3, p = .3 , Ha: p ≠ .3, n = 31, *z= -2.70 ( choose one ) a. .0035 b. .0060 c. .0070 d. .0120 B. H0: ? = .7, Ha: ? ≠ .7, n= 41, *t= -1.90 ( choose one ) a. .0287 b. .0320 c. .0574 d. .06401. The National Center for Educational Statistics recently chose a random sample of 100 newly graduated college students and queried each one about the time it took to complete his or her degree. If the sample mean was 5 years with a sample variance of 4 years: a. Construct a 95 percent confidence interval estimate of the mean completion time of all newly graduated students. b. а. b. What is the interpretation of this confidence interval? If the sample increases, what will happen to the width of the confidence band (explain why you believe so). From past history, the average time for students to complete the degree is 4.8 years. Test the hypothesis at the level of 0.05 that it takes longer for students to complete the degree now. с.
- For a paired-sample study design, if the null hypothesis is true, then theoretically what value should be obtained for the sample mean? O Mp<0 O Mp = 0 O Mp20If you use a 0.025 level of significance in a (two-tail) hypothesis test, what is your decision rule for rejecting a null hypothesis that the population mean is 600 if you use the Z test? Click here to view page 1 of the Normal table. LOADING... Click here to view page 2 of the Normal table. LOADING... Question content area bottom Part 1 Which of the following decision rules is correct? A. Reject H0 if ZSTAT<−2.24 or ZSTAT>+2.24. B. Reject H0 if −2.24<ZSTAT<+2.24. C. Reject H0 if −1.96<ZSTAT<+1.96. D. Reject H0 if ZSTAT<−1.96 or ZSTAT>+1.96.A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a) and (b) below. Height (cm) of President Height (cm) of Main Opponent 178 181 171 167 183 177 184 170 178 174 203 166 9 a. Use the sample data with a 0.05 significance level to test the claim that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm. 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 president's height minus their main opponent's height. What are the null and alternative hypotheses for the hypothesis test? Họ: Ha cm H1: Hd cm (Type integers or decimals. Do not round.)
- A recent national report states the marital status distribution of the male population age 18 or older is as follows: Never Married (31.5%), Married (55.7%), Widowed (2.7%), Divorced (10.1%). The table below shows the results of a random sample of 1620 adult men from California. Test the claim that the distribution from California is as expected at the a = 0.01 significance level. a. Complete the table by filling in the expected frequencies. Round to the nearest whole number: Frequencies of Marital Status Outcome Frequency Expected Frequency Never Married 507 Married 896 Widowed 46 Divorced 171 b. What is the correct statistical test to use? Select an answer c. What are the null and alternative hypotheses? OMarital status and residency are dependent. Marital status and residency are independent. The distribution of marital status in California is the same as it is nationally. OThe distribution of marital status in California is not the same as it is nationally. Marital status and…A food store advertises that their checkout waiting times is four minutes or less. An angry customer wants to dispute this claim. He takes a random sample of shoppers at the peak time and records their checkout times. Can he dispute their claim at significance level 10%? Checkout times: 3.8, 5.3, 3.5, 4.5, 7.2, 5.1 Match the following steps in hypothesis testing. -Step 1 - ✓ Step 2 -✓ Step 3 - ✓ Step 4 -✓ Step 5 Step 6 A. Ho: p = 4 Ha: p 4 Ha: μ = 4 K. We fail to reject the null hypothesis. L. We reject the null hypothesis. M.t-1.6598 N. Ho: p = 4 Ha: > 4 4 O. HO: Ha: p4 P. Ho: 4 Ha: p = 4] 1 5. A storeowner wishes to compare the average amount of money high school and college students spend on music downloads. He randomly selects 10 students from each of three different student populations: high school, undergraduate, and graduate. The statistical assumptions required to perform a one-way ANOVA to compare the means of these three groups are reasonable based on the data. A partially completed ANOVA table is provided below. Source Sum of Squares DF Mean Square F dfl I F df2 Groups Error Total SSG 3240 4450 (a) Calculate all incomplete parts in the table. MSG MSE (b) What is the value of the pooled standard deviation (estimate for σ)?
- a. Report the two sample means, and state which group had the higher sample mean systolic blood pressure. Refer to the technology output in accompanying figure (A). b. Refer to the technology output given in figure (A) to test the hypothesis that the mean systolic blood pressures for men and women are not equal, using a significance level of 0.05. Although the distribution of blood pressures in the population are right-skewed, the sample size is large enough to use t-tests. Choose from figures (B), (C), and (D) for your t- and p-values. Click the icon to view the technology outputs. a. The sample mean for the women was (Type an integer or a decimal. Do not round,) The sample mean for the men was (Type an integer or a decimal. Do not round.) Determine which group had the higher sample mean systolic blood pressure. The had the higher sample mean systolic blood pressure. b. Determine the hypotheses for this test. Let uy, be the population mean systolic blood pressure for women, and let Hm…Which of the following is not an assumption of the two-factor ANOVA? Group of answer choices a)The observations within each sample must be independent. b)The populations from which the samples are selected must be normal. c)The observations within each sample must have equal variances. d)The populations from which the samples are selected must have equal variances.