Answer:
1:4
Step-by-step explanation:
Answer: the smallest number of people required for the sample to meet the conditions for performing inference is 100
Step-by-step explanation:
Given that;
36% of US population has never been married
32% are divorced
27% are married
5% are widowed
Taking a simple random sample of individuals to test this claim;
we need expected count in each cell to be at least 5, here the smallest proportion is 5% = 0.05
so we only need to satisfy condition for its expected count;
n × 0.05 ≥ 5
n = 5 / 0.05 = 100
Therefore the smallest number of people required for the sample to meet the conditions for performing inference is 100
Answer:
Test statistic = 1.664
Step-by-step explanation:
The hypothesis :
H0 : μ = 47.2
H1 : μ ≠ 47.2
Given that :
Sample mean, xbar = 47
Sample size, n = 250
Standard deviation, σ = 1.9
The test statistic :
(xbar - μ) ÷ (σ/√(n))
T = (47 - 47.2) ÷ (1.9/√(250))
T = (0.2 / 0.1201665)
Test statistic = 1.664
Answer:
D.
Step-by-step explanation:
1) To work out the result after a percentage is applied to a number, you work out 'the percentage number/100' and write the answer of this calculation down. 2) You THEN multiply this calculated number (called the 'percentage multiplier') by your orginal number (called the 'principal'). 3) The result of this calculation gives you the answer of what happens when your orginal number is multiplied by a certain percentage. 4) Thus, for a 2.99% increase work out: " (100+2.99)/100 "
The answer is 1.029 - SO THIS is your percentage multiplier. 5) Your earn 2.99% interest each year for 5 years. Thus you multiply your principal (10,500) by the calculated percentage multiplier (1.029), BUT you you multiply the principal by this multiplier 5 TIMES! 6) So, the calulation is:10,500 × (1.029^5). 7) This EQUALS $12,113.403198) Rounded to the nearest cent, the final amount in the account AFTER 5 YEARS = $12,113.40 8) THE ANSWER IS THUS: $12,113.40
