a car rental service charges customers for the number of miles they travel rounded to the nearest whole mile George travels 40.8
1 answer:
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Answer:
A value two standards deviation from the mean is more likely to occur than a value three standard deviations from the mean.
Step-by-step explanation:
Standard deviation is a quantitative measure of the variability of traits of the subjects in a given population. These traits can range from age, height, weight e.t.c. This deviation is brought about by extreme or abnormal conditions, which is the reason why two deviations is more likely to occur than three deviations.
Moreover, going by the provisions of the empirical rule, If data comes from a population that is approximately symmetrical;
95% of the data will fall within two standard deviations.
99.7% will fall within three standard deviations
Find the attachment below.
Nevertheless, in a symmetrical distribution most of the data values fall around the mean. Two standard deviations is closer to the mean than 3 standard deviations hence more likely to occur.
Answer:
The calculated value Z = 1.39 <1.96 at 0.05 level of significance
The null hypothesis is accepted
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the mean of the Population = 43
Given that the mean of the sample = 47
Given that the standard deviation of the Population = 25
Given that the sample size 'n' = 76
<u><em>Step(ii):-</em></u>
<u><em>Null hypothesis:H₀: μ = 43</em></u>
<u><em>Alternative Hypothesis: H₁: μ ≠ 43</em></u>
Test statistic
Z = 1.39
Level of significance = 0.05
The critical value = 1.96
<u><em>Final answer:-</em></u>
<em>The calculated value Z = 1.39 <1.96 at 0.05 level of significance</em>
<em>The null hypothesis is accepted </em>