Consider the test of Ho: o = 12 against H₁:0² 12. What are the critical values for the test statistic Xo² for the significance level a = 0.1 and sample size n = 20? Order your answers increasingly. Give your answers with two decimal places (e.g. 98.76). i
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- After clicking the Generate Results button, SALT will display the summary of the One Sample t test on the right side of the Inferential Statistics page. Enter the requested values below. Round your standard error to three decimal places and your test statistic to two decimal places. Standard Error: Test Statistic: Degrees of freedom: P-value: 0.493 66.366 53 53 less than 0.05 0.493 66.37 less than 0.05 Step 5 of 5 Since the P-value is less than our significance value of 0.05, this leads us to reject the null hypothesis. Based on the sample data, there ---Select--- convincing evidence that male Boston Marathon winners have an average finish time that is longer than the male Boston Wheelchair Marathon winners than what could have resulted from sampling error alone. In other words, Boston's male wheelchair athlete winners finish a marathon in ---Select--- time, on average, than male Boston marathon winners. Optional extension: In case you would like to investigate whether a similar…Use technology to help you test the claim about the population mean, μ, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: μ> 1270; α=0.02; a=214.81. Sample statistics: x= 1293.27, n=275 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: > 1270 H₂:μ≤ 1270 OB. Ho: 21270 Ha: H1270 C. Ho: H≤ 1270 Ha: H> 1270 OE. Ho: s1293.27 H₂:μ> 1293.27 Calculate the standardized test statistic. The standardized test statistic is 1.80. (Round to two decimal places as needed.) Determine the P-value. P= (Round to three decimal places as needed.) O D. Ho: > 1293.27 Ha: Hs 1293.27 OF. Ho: 21293.27 H₂:1293.27An instructor wanted to know if his students are better at math or writing. He had students take both a math and then a writing test and he compared the results using SPSS. He found the following results: ( look at graphs ) a. What test was done?b. Report results in APA style.
- Use technology to help you test the claim about the population mean, µ, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: u> 1150; a = 0.08; ở = 198.94. Sample statistics: x = 1176.49, n= 300 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: us1150 O B. Ho: Hs1176.49 Ha:H>1150 Ha: H>1176.49 O C. Ho: H>1176.49 Ha: HS1176.49 O D. Ho: μ21176.49 H3: H1150 Ha:H<1150 Hg: H51150 Determine the P-value. P = (Round to three decimal places as needed.) Determine the outcome and conclusion of the test. V Ho. At the 8% significance level, there V enough evidence to V the claim. Click to select your answer(s). 3,257 1,732 DEC 8. PsYou wish to test the alternative hypothesis that u > 6 at a level of significance of ca = 0.05 and are given sample statistics n=50, x =6.3, and s = 1.2. What is the value of the standardized test statistic? Round your answer to the nearest hundredth. A 0.98 B 1.77 C 2.31 D 3.11Sh33
- Use technology to help you test the claim about the population mean, µ, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: u> 1290; a= 0.03; o = 196.18. Sample statistics: x= 1310.04, n= 200 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: u2 1290 O B. Ho: u>1310.04 Ha: H 1310.04 Hap> 1290 Ο Ε. Ho με 1310.04 F. Ho: u> 1290 Ha: H< 1310.04 Ha us1290Use technology to help you test the claim about the population mean, μ, at the given level of significance, α, using the given sample statistics. Assume the population is normally distributed. Claim: μ>1290; α=0.02; σ=210.88. Sample statistics: x=1309.93, n=200 Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: μ>1290 Ha: μ≤1290 B. H0: μ≥1290 Ha: μ<1290 C. H0: μ≤1290 Ha: μ>1290 D. H0: μ≥1309.93 Ha: μ<1309.93 E. H0: μ≤1309.93 Ha: μ>1309.93 F. H0: μ>1309.93 Ha: μ≤1309.93 Calculate the standardized test statistic. The standardized test statistic is nothing. (Round to two decimal places as needed.) Determine the P-value. P=nothing (Round to three decimal places as needed.) Determine the outcome and conclusion of the test. ▼ Reject Fail to reject H0. At the 2% significance level, there ▼ is not is enough…Use technology and a t-test to test the claim about the population mean at the given level of significance a using the given sample statistics. Assume the population is normally distributed Claim: u > 78; a = 0.01 Sample statistics: × = 79.3, s = 3.6, n = 28 What are the null and alternative hypotheses? Choose the correct answer below. O A. Ho: M = 78 H: 4*78 О c. Ha: u₴78 Hai n< 78 OB. H: 4478 H: M=78 O D. H: 4 s78 H: 4>78 What is the value of the standardized test statistic? The standardized test statistic is__ . (Round to two decimal places as needed.) What is the P-value of the test statistic? P-value=__(Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.
- Use technology to help you test the claim about the population mean, μ, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: μ> 1170; x = 0.08; a=207.79. Sample statistics: x= 1198.51, n = 250 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: 21170 H₂H 1198.51 H:Hs 1198.51 Calculate the standardized test statistic. The standardized test statistic is (Round to two decimal places as needed.) Determine the P-value. P= (Round to three decimal places as needed.) Determine the outcome and conclusion of the test. D Ho. At the 8% significance level, there OB. Ho: s1198.51 H: 1198.51 O D. Ho: 1170 H₂: ≤1170 OF. Ho: HS1170 H₂: > 1170 enough evidence to the claim.Use technology to help you test the claim about the population mean, μ, at the given level of significance, x, using the given sample statistics. Assume the population is normally distributed. Claim: μ> 1270; α=0.02; a=214.81. Sample statistics: x= 1293.27, n = 275 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: > 1270 OB. Ho: 21270 H₂H1270 H₂H1270 c. Ho: H≤ 1270 H₂: H> 1270 OE. Ho: s1293.27 H₂: > 1293.27 Calculate the standardized test statistic. The standardized test statistic is 1.80. (Round to two decimal places as needed.) Determine the P-value. P= (Round to three decimal places as needed.) OD. Ho: > 1293.27 H₂: Hs 1293.27 OF. Ho: 2 1293.27 H₂: <1293.27Researchers studied the mean egg length (in millimeters) for a bird population. After taking a random sample of eggs, they obtained a 95% confidence interval of (45,60). What is the value of the margin of error? Choose the correct answer below. A. 15 mm B. 52.5 mm O c. 7.5 mm O D. 1.96