17-12. It is claimed that a random sample of 100 tyres with a mean life of 15269 kms is drawn from a population of tyres which has a mean life of 15200 kms and a standard deviation of 1248 is. Test the validity of the claim at (i) 5% and (ii) 1% level of significance.
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- A simple random sample of 50 men from a nomally distributed population results in a standard deviation of 9.8 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute Complete parts (a) through (d) below. a. Identify the null and altemative hypotheses. Choose the corect answer below. B. Ho: 0= 10 beats per minute A Hg: 02 10 beats per minute H:o< 10 beats per minute H:0 10 beats per minute C. H:o= 10 beats per minute O D. Ho: o 10 beats per minute H:0= 10 beats per minute H o<10 beats per minute b. Compute the test statistic. (Round to three decimal places as needed.)A laboratory claims that the mean sodium level, μ , of a healthy adult is 141 mEq per liter of blood. To test this claim, a random sample of 80 adult patients is evaluated. The mean sodium level for the sample is 142 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 11 mEq. Can we conclude, at the 0.05 level of significance, that the population mean adult sodium level differs from that claimed by the laboratory? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic:(Round to at least three decimal places.) The two critical values at the 0.05 level of significance:(Round to at least…Question Help v A simple random sample of pulse rates of 20 women from a normally distributed population results in a standard deviation of 10.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.01 significance level to test the claim that pulse rates of women have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. a. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: o± 10 beats per minute O B. Ho: o = 10 beats per minute H1: o<10 beats per minute H: 0 = 10 beats per minute O C. Ho: o 10 beats per minute O D. Ho: o = 10 beats per minute %3! H,: o<10 beats per minute H: o7 10 beats per minute b. Compute the test statistic. x = D (Round to three decimal places as needed.) %3D c. Find the P-value of the…
- The sociologist finds that for a certain population, the mean number of years of educations is 13.2 years witha standard deviation of 3.04 years. From a certain region, a random sample of 62 people is drawn from thispopulation and recorded a sample mean of 13.96 years. Test the claim that the mean number of years ofeducation is the same from the population with 0.05 level of significance.A simple random sample of 49 men from a normally distributed population results in a standard deviation of 7.8 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. a. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: o = 10 beats per minute B. Ho: o+ 10 beats per minute H1: o< 10 beats per minute H1: o = 10 beats per minute O C. Ho: o2 10 beats per minute D. Ho: o = 10 beats per minute H1: o< 10 beats per minute H: o + 10 beats per minute b. Compute the test statistic. (Round to three decimal places as needed.) c. Find the P-value. P-value = (Round to four decimal places as needed.) d.…A study of B.A. (Hons.) Economics examination results of 1000 students in 1990 gave the mean теаn grade as 78 and the standard deviation as 8.0. A similar study in 1995 revealed the mean grade of the group as 80 and the standard deviation as 7-6. In which year was there the greater (i) absolute dispersion, (ii) relative dispersion ? What can we say about the average performance of the students over time?
- Assume that the weights of trout in a river are normally distributed. You randomly catch and weigh 20 such trout. The mean weight from your sample is 7.3 lb with a standard deviation of 0.9 lb. Test the claim that the mean weight of trout in this river is greater than 7 lb at a significance level of 0.01. Be sure to clearly identify your work, using appropriate notation at each step of the process, and summarize your final result in a complete sentence.It is claimed that a random ssample of 100 tyres with a mean life of 15269 kms is drawn from a population of tyres which has a mean life of 15200 kms and a standard deviation of 1248 kms. Test the validity of the claim at (i) 5% and (ii) 1% level of significance.A simple random sample of 46 men from a normally distributed population results in a standard deviation of 7.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. Question content area bottom Part 1 a. Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: σ≥10 beats per minute H1: σ<10 beats per minute B. H0: σ≠10 beats per minute H1: σ=10 beats per minute C. H0: σ=10 beats per minute H1: σ<10 beats per minute D. H0: σ=10 beats per minute H1: σ≠10 beats per minute Your answer is correct. Part 2 b. Compute the test statistic.…
- A simple random sample of 46 men from a normally distributed population results in a standard deviation of 7.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. Question content area bottom Part 1 a. Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: σ≥10 beats per minute H1: σ<10 beats per minute B. H0: σ≠10 beats per minute H1: σ=10 beats per minute C. H0: σ=10 beats per minute H1: σ<10 beats per minute D. H0: σ=10 beats per minute H1: σ≠10 beats per minute Your answer is correct. Part 2 b. Compute the test statistic.…A simple random sample of 41 men from a normally distributed population results in a standard deviation of 8.1 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. test statistic_____ pvalue______