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Debora [2.8K]
2 years ago
12

Last year, the mean running time for a certain type of light bulb was 8.5 hours. This year, the manufacturer has introduced a ch

ange in the production method. A random sample of 40 of the new light bulbs has a mean running time of 8.7 hours with a standard deviation, s, of 0.5 hours. At the 0.05 significance level, test the claim that the mean running time of the new light bulbs is greater than last year’s mean of 8.5 hours. a) State the null and alternative hypotheses symbolically. b) Which test procedure is appropriate to perform the required hypothesis test? c) Compute the value of the test statistic. d) Determine the P-value or provide the rejection region. Please round your answers to three decimal places. e) Should you reject the null hypotheses or not? f) What is your conclusion about the hypothesis test?
Mathematics
1 answer:
Free_Kalibri [48]2 years ago
5 0

Answer:

H0 : μ = 8.5

H1 : μ > 8.5

1 sample t test ;

Test statistic = 2.53

Pvalue = 0.994

No, we fail to reject the Null ;

There is no significant evidence to support the Claim that the mean running time of light bulb is greater Tha last year.

Step-by-step explanation:

H0 : μ = 8.5

H1 : μ > 8.5

Test statistic :

(xbar - μ) ÷ (s/sqrt(n))

(8.7 - 8.5) ÷ (0.5 / sqrt40)

Test statistic = 2.53

The Pvalue :

P(Z < 2.53) = 0.9943

Pvalue = 0.994

Decison region :

Reject H0 ; if Pvalue < α

0.9943 > 0.05 ; We fail to reject the Null

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Answer:

The correct option is 1.

Step-by-step explanation:

The given expression is

log_ax

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According to the logarithm property,

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Using this property, we get

log_ax=\frac{log_bx}{log_ba}

The required expression is \frac{log_bx}{log_ba}.

log_1x=\frac{log_1x}{log_11}

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Left hand side is equal to the right hand sides, therefore option 1 is correct.

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2 years ago
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3 years ago
How many rectangular prisms 8 inches long, 5 inches wide, and 2 inches high can fit into another rectangular prism that measures
tangare [24]

Answer:

20

Step-by-step explanation:

Volume of rectangular prism = length × width × height

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Dimensions of another rectangular prism:

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Height = 10 inches

Volume of rectangular prism B = length × width × height

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To determine the key strokes on a calculator which will give the cost the

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In calculator, the key strokes will be:

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3 years ago
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