A simple random sample of 45 adults is obtained from a normally distributed population, and each person's red blood cell count (in cells per microliter) is measured. The sample mean is 5.23 and the sample standard deviation is 0.54.
Use a 0.01 significance level and the given calculator display to test the claim that the sample is from a population with a mean less than 5.4 comma which is a value often used for the upper limit of the range of normal values.
What do the results suggest about the sample group? T-Test muless than5.4 t negative 2.111841979 p = 0.0202067486 x overbar =5.23 Sx = 0.54 n =45
What are the null and alternative hypotheses? A. Upper H 0: muequals5.4 Upper H 1: mugreater than5.4 B. Upper H 0: muequals5.4 Upper H 1: muless than5.4 C. Upper H 0: muequals5.4 Upper H 1: munot equals5.4 D. Upper H 0: muless than5.4 Upper H 1: muequals5.4
Identify the test statistic. (Round to three decimal places as needed.)
Identify the P-value. (Round to four decimal places as needed.)
State the final conclusion that addresses the original claim.
Choose the correct answer below.
A. Reject Upper H 0. There is sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4.
B. Fail to reject Upper H 0. There is sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4.
C. Reject Upper H 0. There is not sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4.
D. Fail to reject Upper H 0. There is not sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4.
What do the results suggest about the sample group?
A. There is not enough evidence to conclude that the sample is from a population with a mean less than 5.4, so it is unlikely that the population has counts that are too high.
B. There is enough evidence to conclude that the sample is from a population with a mean less than 5.4 comma so it is unlikely that the population has counts that are too high.
C. There is not enough evidence to conclude that the sample is from a population with a mean less than 5.4, so it is possible that the population has counts that are too high.
D. There is enough evidence to conclude that the sample is from a population with a mean less than 5.4 comma so it is possible that the population has counts that are too high.
Given :-
Level of significance (alpha) = 0.01
Sample mean ( ) = 5.23
Sample standard deviation (s) = 0.54
Sample size (n) = 45
Test Hypothesis :-
H0: = 5.4
H1: < 5.4
Test statistic :
t = -2.112
P-value :
p = 0.0202
Conclusion :
D. Fail to reject Upper H 0. There is not sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4.
Final result :
C. There is not enough evidence to conclude that the sample is from a population with a mean less than 5.4, so it is possible that the population has counts that are too high.
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