A hypothesis test is conducted with H0:μ=55 and H1:μ>55 A simple random sample of size n=64 is drawn, with x¯=62, and s=18. Compute the test statistic. (Round to two decimal places.) Determine the P-value. (Round to four decimals places.)

K A study was done on proctored and nonproctored tests. 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 A. Ho H1 H2 H₁ H₁ H₂ ỌC. Hồ Hi-12 H₁: Hy > H₂ 0 в. Но 141=12 H₁ H₁ H₂ O D. Ho 11 #₂2 H₁ H1 H₂ The test statistic, t, is (Round to two decimal places as needed) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. Proctored Nonproctored H 144 n 34 CIXS 77.58 11.08 12 31 81.91 21.24 A. Reject Ho There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. OB. Fail to reject Ho. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. C. Fail to reject Ho. There is not sufficient evidence to support the…

Many college and university students obtain summer jobs. A professor wanted to determine whether students in different degree programs earn different amounts. She randomly selected five students in each of the 4 university programs and asked them to report what they earned the previous summer (in thousands of dollars). The following partially filled-in ANOVA table was obtained. Fill-in the rest of the table. (Use exact values for df and round all other numbers to 2 decimal places, if needed.) Source df SS MS F-Stat Treatments   11.0     Error         Total   23.7

Tests the claim that pi # p2. Assume the samples are random and independent. T1 = 26 ; r2 = 11 %3D n1 = 58 ; n2 = 39 a. Complete the table (use reduced fractions) P1 P2 Pi The Test Statistic (P1- P2) – (P1 P2) I1 + 22 Z = ni + n2 b. Calculate the Z-test statistic using the standard error from part a. Z = (use 2 decimat places) C. At a 0.04, Use the distribution table to find the critical values for the rejection region Z. =

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10:03 AM Sat Dec 19 * 65% For the sample data below, perform a pooled t-test to determine whether there is a difference in the population means. Test at the 5% level of significance. Sample 1: ni = 30, X, = 42.5, s1 = 2.8 Sample 2: n2 = 25, X2 = 40.4, s2 = 3.2 Write the correct null and alternate hypotheses. Find the value of your test statistic. Find your critical value(s) and list them here. 11 19 Evaluate the test and draw a conclusion about your null hypothesis.

Conduct a test at the a = 0.01 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p, > P2. The sample data are x, =118, n, = 258, x, = 139, and n, = 314.