Answer:
-2.154
Step-by-step explanation:
We are given;
Population mean; μ = 432
Sample mean; x¯ = 425
Sample size; n = 29
standard deviation; σ = 26
Hypothesis is defined as;
Null hypothesis; H0: μ ≥ 432
Alternative hypothesis: Ha: μ < 432
Formula for the test statistic since sample size is less than 30 is;
t = (x¯ - μ)/(σ/√n)
Plugging in the relevant values;
t = (425 - 432)/(26/√29)
t = -1.45
Now,we are given significance level of 0.02; our DF = n - 1 = 29 - 1 = 28
From t-table attached, we can see that at DF of 28 and significance value of 0.02, the critical value is 2.154
However, this is a left tailed test as the rejection region is to the left.
Thus, the critical value of a left tailed test is negative. Thus, in this case our critical value will be -2.154
Answer:The numbers are already in standard form
Step-by-step explanation:
Complete Question
Marla sawed a 12-meter wood plank into 8 equal pieces. Which statement best explains how Marla cut the wood plank?
a) She cut the wood into pieces that are each 1/3 meter long.
b) She cut the wood into pieces that are each 1/2 meter long.
c) She cut the wood into pieces that are each 1 meter long.
d) She cut the wood into pieces that are each 1 1/2 meter long.
Answer:
d) She cut the wood into pieces that are each 1 1/2 meter long.
Step-by-step explanation:
Marla sawed a 12-meter wood plank into 8 equal pieces.
Hence,
8 equal pieces = 12 meter
1 equal pieces = x meter
Cross Multiply
8 × x = 1 × 12
x = 12/8 meters
x = 3/2 meters long
x = 1 1/2 meters long.
Therefore, Option d is the correct Option
Answer:
54
Step-by-step explanation:
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