Test the claim that a population mean salary in a town is more than $62000. A random sample of 24 salaries yields = $62171.46 and s = $1400. Use a = 0.10. 1. The population distribution requirement for this test is: O Need a normally distributed population since this is a T-test O Need a normally distributed population since n < 30 O None since n > 30 O None since this is a Z-test The hypotheses are: O Ho:p > 62000; Ha:p < 62000 Ho:u > 62000; Ha:u < 62000 O Ho:u < 62000; Ha:µ > 62000 O Ho:p = 62000; Ha:p + 62000 O Ho:u = 62000; Ha:u 62000 O Ho:p < 62000; Ha:p > 62000 2. This is a O twoO rightO left tailed test and the distribution used is OT since o not known OZ since testing a proportion Oz since o known The Degrees of Freedom are O 23 ON/A; this is a Z-test O 24 3. The STS (round to 3 decimals) is: MacBook Air
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- K Researchers measured skulls from different time periods in an attempt to determine whether interbreeding of cultures occurred. Results are given below. 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 variation of maximal skull breadths in 4000 B.C. is the same as the variation in A.D. 150. 4000 B.C. A.D. 150 n 30 30 X 131.39 mm 136.66 mm S 5.11 mm 5.32 mm What is the conclusion for this hypothesis test? O A. Reject Ho. There is insufficient evidence to ... warrant rejection of the claim that the variation of maximal skull breadths in 4000 B.C. is the same. as the variation in A.D. 150. OC. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the variation of maximal skull breadths in 4000 B.C. is the same as the variation in A.D. 150. OB. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the variation of…2265 homeless people in San Jose were asked their age. The sample mean age was 33.2 years. Let x be a random variable representing ages of homeless people in San Jose. Assume that x has a normal distribution and o = 7.3 years. Do the data indicate that the mean age of the population of homeless people in San Jose is less than 35 years old? Use a = 0.05. Identify the following in your answer. 1. Identify the null hypothesis Ho and alternate hypotheses H, for the problem. 2. Identify the sample statistic, test statistic, p-value and calculator key used: Sample Statistic (sample mean) (Stated in problem) = Test Statistic (z) (Round to two decimal places) %3D P-value: (Round to four decimal places) = Calculator key used: 3. Identify the significance level and determine if you reject or fail to reject the null hypothesis. significance level = Do you reject or fail to reject Ho ? 4. State your conclusion. Upload your answer. Remember you can only upload one document. Upload Choose a File
- Test 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: =0; a=0.01. Sample statistics: d=3.3, sy =8.54, n=8 Identify the null and alternative hypotheses. Choose the correct answer below. OAH: 14<0 H₂:14 20 OC. H₂: #0 OE Ho: 0 H₂:50 The test statistic is t= (Round to two decimal places as needed.) B. Ho: d=0 H₂: 170 OD. HH 20 H₂ P<0 OF. Ho so14 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 n 0.10 significance level for both parts. X a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H=H2 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 e test. GELER OB. Ho: H1 H2 H₁: Hy > H₂ Treatment Placebo Hy 1/2 OD. Ho: H₁ H₂ H₁: Hycalculated that the taxi drivers spent average 9.25 hours in a day assume that the distribution is normal for each taxi drivers a sample size is 16 taxi drivers the population standarddeviation is was known to be 1.2565 find the sample m,ean below 10Samples of size n- 9 are selected from a normal population withp -80with o- 18. What is the standard error for the distribution of sample means? OM-5 OM- 18 O M- 6 0 0A 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. State the conclusion for the test. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. μ n X S Men 11 11 97.53°F 0.76°F Women H₂ 59 97.46°F 0.69°F O A. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. OB. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. OC. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. OD. Reject the null hypothesis. There is sufficient evidence to support the claim…Find the test statistic, t, to test the hypothesis that u, u,. Two samples are randomly selected and come from populations that are normal. The sample statistics are given below. Round to three decimal places. n= 11 n2 = 18 X =6.7 X2 = 7.1 S1=0.76 S2 = 0.51 O A. - 1.546 B. -1.821 C. - 2.123 S D. -1.326 eting Click to select your answer. Type here to search hp 立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. State the conclusion for the test. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. μ n X S Men H₁ 11 97.66°F 0.75°F Women H₂ 59 97.22°F 0.68°F O A. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. O B. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. O C. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. O D. Fail to reject the null hypothesis. There is sufficient evidence to support the…find p value for left tailed test. test statistic t = -2.484 sample size n = 224000 B.C. A.D. 150 A study was done on skull sizes of humans during different time periods. 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. H2 27 27 131.05 mm 133.94 mm S 5.18 mm 5.27 mm a. Use a 0.05 significance level to test the claim that the mean skull breadth in 4000 B.C is less than the mean skull breadth in A.D 150. What are the null and alternative hypotheses? O B. Ho: H1 =H2 O A. Ho: H1 =H2 H:H1> H2 OC. Ho: H1 = H2 H1: H1 # H2 O D. 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