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(HC) adult standard deviation. A random sample of ten healthy adult females was taken with the following HC for each:: 15, 18, 16, 19, 14, 12, 14, 17, 15, 11 believed that las d We want to test at the 1% level. So, we assume that our sample comes from a normal population with unknown standard deviation of o. We would like to test whether the mean HC is higher than 14. The null hypothesis is thus Ho:u=14. We will test this against the alternative Ha. Let x = the sample mean and s = the sample standard deviation. distr

(HC) adult standard deviation. A random sample of ten healthy adult females was taken with the following HC for each:: 15, 18, 16, 19, 14, 12, 14, 17, 15, 11 believed that las d We want to test at the 1% level. So, we assume that our sample comes from a normal population with unknown standard deviation of o. We would like to test whether the mean HC is higher than 14. The null hypothesis is thus Ho:u=14. We will test this against the alternative Ha. Let x = the sample mean and s = the sample standard deviation. distr

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Let x be hemoglobin count (HC) in grams per 100 milliliters of whole blood for a healthy adult woman. It is believed that x has a normal distribution with a mean of 14 and an unknown standard deviation. A random sample of ten healthy adult females was taken with the following HC for each:: 15, 18, 16, 19, 14, 12, 14, 17, 15, 11 So, we assume that our sample comes from a normal population with unknown standard deviation of o. We would like to test whether the mean HC is higher than 14. The null hypothesis is thus Ho:μ=14. We will test this against the alternative H₂. We want to test at the 1% level. Let x = the sample mean and s = the sample standard deviation.
Transcribed Image Text:Let x be hemoglobin count (HC) in grams per 100 milliliters of whole blood for a healthy adult woman. It is believed that x has a normal distribution with a mean of 14 and an unknown standard deviation. A random sample of ten healthy adult females was taken with the following HC for each:: 15, 18, 16, 19, 14, 12, 14, 17, 15, 11 So, we assume that our sample comes from a normal population with unknown standard deviation of o. We would like to test whether the mean HC is higher than 14. The null hypothesis is thus Ho:μ=14. We will test this against the alternative H₂. We want to test at the 1% level. Let x = the sample mean and s = the sample standard deviation.
c) What value does your test statistic, T, take on with the sample data? d) What type of probability distribution does your test statistic, T, have? O Chi-Squared Ot O binomial O Cauchy O normal e) How many degrees of freedom does T have? f) Calculate the critical value, tstar, for your test.(positive value) g) For what values of your test statistic, T, is the null hypothesis rejected? O T <tstar O IT-tstar| < .01 OT > tstar or T < -tstar OT > tstar OT> tstar/2 or T < -tstar/2 h) Calculate the p-value for this test. i) Is the null hypothesis rejected? (Y/N) ΟΥ ON j) If we ran 800, 1% level tests then about how many times would we make a Type I error? k) Create a 99% confidence interval for the mean hemoglobin count (HC) in grams per 100 milliliters of whole blood for a healthy adult woman: (
Transcribed Image Text:c) What value does your test statistic, T, take on with the sample data? d) What type of probability distribution does your test statistic, T, have? O Chi-Squared Ot O binomial O Cauchy O normal e) How many degrees of freedom does T have? f) Calculate the critical value, tstar, for your test.(positive value) g) For what values of your test statistic, T, is the null hypothesis rejected? O T <tstar O IT-tstar| < .01 OT > tstar or T < -tstar OT > tstar OT> tstar/2 or T < -tstar/2 h) Calculate the p-value for this test. i) Is the null hypothesis rejected? (Y/N) ΟΥ ON j) If we ran 800, 1% level tests then about how many times would we make a Type I error? k) Create a 99% confidence interval for the mean hemoglobin count (HC) in grams per 100 milliliters of whole blood for a healthy adult woman: (
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