The means of the two random samples of 1000 and 2000 are 67.5 and 68.0 inches respectively. Can the samples be regarded to have been drawn from the same population of standard deviation 9.5 inches? Test at 5% level of significance.

A simple random sample of 34 men from a normally distributed population results in a standard deviation of 8.8 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. H: 0 10 beats per minute O B. H, o= 10 beats per minute H:o = 10 beats per minute H o<10 beats per minute O D. H, 62 10 beats per minute H o<10 beats per minute O C. H, o= 10 beats per minute H: 0 10 beats per minute b. Compute the test statistic. %3D (Round to three decimal places as needed.) c. Find the P-value. P-value = (Round to four decimal places as needed.) d. State…

A simple random sample of 36 men from a normally distributed population results in a standard deviation of 12.8 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.Question content area bottomPart 1a. Identify the null and alternative hypotheses. Choose the correct answer below.A.H0: σ=10 beats per minuteH1: σ≠10 beats per minuteB.H0: σ≠10 beats per minuteH1: σ=10 beats per minuteC.H0: σ≥10 beats per minuteH1: σ<10 beats per minuteD.H0: σ=10 beats per minuteH1: σ<10 beats per minutePart 2b. Compute the test statistic.χ2=enter your response here ​(Round to three decimal places as​ needed.)Part 3c. Find the​…

A simple random sample of 36 men from a normally distributed population results in a standard deviation of 11.8 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 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 b. Compute the test statistic.   χ2=48.73448.734 ​(Round to three decimal places as​ needed.) c. Find…