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kifflom [539]
2 years ago
8

"if this month is september, then next month ends in the letter r." determine the validity of the converse and give a counterexa

mple if the converse is not valid.
SAT
1 answer:
tresset_1 [31]2 years ago
3 0

"If this month is September, then next month ends in the letter r." This is a valid converse statement.

The converse of a conditional statement is made once the hypothesis and conclusion are reversed. Likewise, the converse statement, “If the grass is wet, then it's raining” is logically such as the inverse statement, “If it's NOT descending, then the grass isn't wet.” These relationships are significantly useful in mathematics courses once you are asked to prove theorems supported definitions that are already best-known.

This converse statement is valid as after the month of September, the month of October comes and it ends with letter 'r'.

To learn more about Converse Statement here

brainly.com/question/18152035

#SPJ4

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Complete Question:

The mean life of a large shipment of CFLs is equal to 7,500 hours. The population standard deviation is 1,000 hours. A random sample of 64 CFLs indicate a sample life of 7,250  hours.

1. State the Null and Alternative Hypothesis.

2. At the 0.05 level of significance, is there evidence that mean life is different from 7,500 hours.

3. Construct a 95% confidence interval estimate of the population mean life of the CFLs.

4. Compute the p-value and interpret its meaning.

Answer:

-2, (7005, 7450), 0.045

Explanation:

1).

H₀: mean of life shipment is 7500 hours

the hypothesis are outlined as follows

H₀: \mu = 7500

H₁: \mu \neq 7500

where, n = 64, x = 7250, \sigma =1000 hours

Test statistics:

Z = \frac{7250-7500}{\frac{1000}{\sqrt{64}} } \\\\Z = -2

Our conclusion from the above result is that there is sufficient evidence to say that the mean life is different from 7500 hours

2). 95% confidence Interval for the population mean \mu is

[7250-1.96\times \frac{1000}{\sqrt{64}},7250+1.96\times \frac{1000}{\sqrt{64}} ]\\\\(7005,7495)

3).

the p-value is given by

p-value =2P(Z\leq -|z|)\\\\p-value =2P(Z\leq -|2|)\\\\p-value = 0.0455

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Answer:

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