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klio [65]
3 years ago
8

​Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69 bpm. For a random sample of 125 adult​ males,

the mean pulse rate is 68.3 bpm and the standard deviation is 11.4 bpm. Find the value of the test statistic.
Mathematics
1 answer:
ASHA 777 [7]3 years ago
3 0

Answer:

0.6865

Step-by-step explanation:

test statistic is given by the formula

test statistic =\frac{\bar{x}-\mu }{\frac{\sigma }{\sqrt{n}}}

where \bar{x}= mean of the sample

μ= mean

n= sample space

σ= standard deviation

we have given mean of sample  \bar{x} =69

mean μ=68.3

σ=11.4

sample space=125

putting all these value in formula of test statistic

test statistic=\frac{69-68.3}{\frac{11.4}{\sqrt{125}}}

=0.6865

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I think it would be 12440

Step-by-step explanation:

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Which sentence can represent the inequality x+251/1
wariber [46]

The sum of half of a number and three-fourths is at least five and one quarter.

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Additionally, "at least" and "not less than" have equivalent meanings, as do "not more than" and "at most."

It is an issue of matching the thoughts conveyed because all of the expressions are verbally expressed. That is a reading comprehension issue, not a math issue.

"A number is at least five and one quarter when divided by half and three-fourths."

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4 0
2 years ago
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 436.0 gram setting. It
Vilka [71]

Answer:

We conclude that the machine is under filling the bags.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 436.0 gram

Sample mean, \bar{x} = 429.0 grams

Sample size, n = 40

Alpha, α = 0.05

Population standard deviation, σ = 23.0 grams

First, we design the null and the alternate hypothesis

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We use one-tailed(left) z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

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Now, z_{critical} \text{ at 0.05 level of significance } = -1.64

Since,  

z_{stat} < z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.

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