Question

In: Statistics and Probability

Perform hypothesis tests on the following five problems. Assume that a simple random sample has been...

Perform hypothesis tests on the following five problems.

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the hypotheses, test statistic, critical value(s), decision about the null hypothesis, and final conclusion.

  1. A simple random sample of 25 filtered 100 mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean of 19.6 mg and a standard deviation of 3.21 mg. Use a 0.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg, which is the mean for unfiltered king size cigarettes.

Solutions

Expert Solution

Solution :

= 21.1

=19.6

S =3.21

n = 25

This is the left tailed test .

The null and alternative hypothesis is ,

H0 :    = 21.1

Ha : < 21.1

Test statistic = t

= ( - ) / S / n

= (19.6 -21.1) / 3.21 / 25

= -2.336

Test statistic = t = -2.336

P-value =0.0141

= 0.05  

P-value <

0.0141 < 0.05

Reject the null hypothesis .

There is sufficient evidence to suggest that


Related Solutions

Perform hypothesis tests on the following five problems. Assume that a simple random sample has been...
Perform hypothesis tests on the following five problems. Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the hypotheses, test statistic, critical value(s), decision about the null hypothesis, and final conclusion. In a manual on how to have a number one song, it is stated that a song must be no longer than 210 seconds. A simple random sample of 40 current hit songs results in a mean length...
Perform hypothesis tests on the following five problems. Assume that a simple random sample has been...
Perform hypothesis tests on the following five problems. Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the hypotheses, test statistic, critical value(s), decision about the null hypothesis, and final conclusion. The age of actresses when they won an acting award is summarized by the statistics n = 78, ?̅ = 35.3 years, and s = 11.9 years. Use a 0.05 significance level to test the claim that the...
Perform hypothesis tests on the following five problems. Assume that a simple random sample has been...
Perform hypothesis tests on the following five problems. Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the hypotheses, test statistic, critical value(s), decision about the null hypothesis, and final conclusion. A coin mint has a specification that a particular coin has a mean weight of 2.5 g. A sample of 33 coins was collected. Those coins have a mean weight of 2.49616 g and a standard deviation of...
Assume that a simple random sample has been selected and test the given claim. Identify the...
Assume that a simple random sample has been selected and test the given claim. Identify the null and alternative? hypotheses, test? statistic, P-value, and state the final conclusion that addresses the original claim. Listed below are brain volumes in cm cubed cm3 of unrelated subjects used in a study. Use a 0.01 0.01 significance level to test the claim that the population of brain volumes has a mean equal to 1100.9 1100.9 cm cubed cm3. list of brain volumes in...
Assume that a simple random sample has been selected and test the given claim. Use the​...
Assume that a simple random sample has been selected and test the given claim. Use the​ P-value method for testing hypotheses. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. The ages of actresses when they won an acting award is summarized by the statistics n= 85​, x= 35.7 years, and s= 11.3 years. Use a 0.01 significance level to test the claim that the mean age of actresses when...
Assume that a simple random sample has been selected and test the given claim. Identify the...
Assume that a simple random sample has been selected and test the given claim. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. Listed below are brain volumes in cm cubed of unrelated subjects used in a study. Use a 0.05 significance level to test the claim that the population of brain volumes has a mean equal to 1099.9 cm cubed. 964 1028 1271 1080 1071 1172 1066 1346 1100...
Assume that a simple random sample has been selected and test the given claim. Identify the...
Assume that a simple random sample has been selected and test the given claim. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. Listed below are brain volumes in cm3 of unrelated subjects used in a study. Use a 0.01 significance level to test the claim that the population of brain volumes has a mean equal to 1100.6 cm3. 962 1026 1273 1078 1069 1172 1068 1346 1101 1205 1....
Assume that a simple random sample has been selected and test the given claim. Identify the...
Assume that a simple random sample has been selected and test the given claim. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. Listed below are brain volumes in cm^3 of unrelated subjects used in a study. Use a 0.05 significance level to test the claim that the population of brain volumes has a mean equal to 1099.8cm ^3. 964 1028 1273 1080 1070 1173 1067 1347 1099 1203
You will perform a Two Sample Hypothesis Test for Means. For the Hypothesis Tests, make sure...
You will perform a Two Sample Hypothesis Test for Means. For the Hypothesis Tests, make sure to report the following steps: Identify the null hypothesis, Ho, and the alternative hypothesis, Ha. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Find the critical value(s) and identify the rejection region(s). Find the appropriate standardized test statistic. If convenient, use technology. Decide whether to reject or fail to reject the null hypothesis. Interpret the decision in the context of the original...
Assume that a simple random sample has been selected from a normally distributed population and test...
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. A safety administration conducted crash tests of child booster seats for cars. Listed below are results from those​ tests, with the measurements given in hic​ (standard head injury condition​ units). The safety requirement is that the hic measurement should be less than...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT