A sports science group claims that due to improved training methods, professional cyclists burn a mean of less than 7200 calories during the annual Monaco Endurance Race. (This would be an improvement on the previously accepted value of 7200 calories.) A study of 25 randomly selected professional cyclists finds that the sample mean number of calories the cyclists burn during the race is 7165 with a sample standard deviation of 789 calories. Assume that the population of numbers of calories burned by professional cyclists during the race is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that u, the mean number of calories professional cyclists burn during the Monaco Endurance Race, is less than 7200. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. Ho: I H: 口 OSO O=D ロロ (b) Perform at test and find the p-value.

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(c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the sports science group
O since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough
evidence to support the claim that the mean number of calories professional cyclists burn during the Monaco Endurance
Race is less than 7200.
O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not
enough evidence to support the claim that the mean number of calories professional cyclists burn during the Monaco
Endurance Race is less than 7200.
O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to
support the claim that the mean number of calories professional cyclists burn during the Monaco Endurance Race is less
than 7200.
O since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough
evidence to support the claim that the mean number of calories professional cyclists burn during the Monaco Endurance
Transcribed Image Text:十 + -2 -3 -1 (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the sports science group O since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean number of calories professional cyclists burn during the Monaco Endurance Race is less than 7200. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean number of calories professional cyclists burn during the Monaco Endurance Race is less than 7200. O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean number of calories professional cyclists burn during the Monaco Endurance Race is less than 7200. O since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean number of calories professional cyclists burn during the Monaco Endurance
A sports science group claims that due to improved training methods, professional cyclists burn a mean of less than 7200 calories during the annual Monaco
Endurance Race. (This would be an improvement on the previously accepted value of 7200 calories.) A study of 25 randomly selected professional cyclists finds
that the sample mean number of calories the cyclists burn during the race is 7165 with a sample standard deviation of 789 calories. Assume that the population
of numbers of calories burned by professional cyclists during the race is approximately normally distributed.
Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that u, the mean
number of calories professional cyclists burn during the Monaco Endurance Race, is less than 7200.
(a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test.
Ho
H: I
OSO
D=D
(b) Perform at test and find the p-value.
Transcribed Image Text:A sports science group claims that due to improved training methods, professional cyclists burn a mean of less than 7200 calories during the annual Monaco Endurance Race. (This would be an improvement on the previously accepted value of 7200 calories.) A study of 25 randomly selected professional cyclists finds that the sample mean number of calories the cyclists burn during the race is 7165 with a sample standard deviation of 789 calories. Assume that the population of numbers of calories burned by professional cyclists during the race is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that u, the mean number of calories professional cyclists burn during the Monaco Endurance Race, is less than 7200. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. Ho H: I OSO D=D (b) Perform at test and find the p-value.
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