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Zinaida [17]
3 years ago
9

The Wall Street Journal reported that Walmart Stores Inc. is planning to lay off employees at its Sam's Club warehouse unit. App

roximately half of the layoffs will be hourly employees (The Wall Street Journal, January 25-26, 2014). Suppose the following data represent the percentage of hourly employees laid off for Sam's Club stores. 55 56 44 43 44 56 60 62 57 45 36 38 50 69 65 a. Compute the mean and median percentage of hourly employees being laid off at these stores.
Mathematics
1 answer:
malfutka [58]3 years ago
3 0

Answer:

The mean percentage of hourly employees being laid off at these stores is 52.

The median percentage of hourly employees being laid off at these stores is 55.

Step-by-step explanation:

Mean:

Sum of all values divided by the number of values.

So

M = \frac{55+56+44+43+44+56+60+62+57+45+36+38+50+69+65}{15} = 52

The mean percentage of hourly employees being laid off at these stores is 52.

Median:

Value that separate the lower 50% from the upper 50% in the sorted set.

The sorted set is

36 38 43 44 44 45 50 55

The set has cardinality 15, which is an odd number, so the median is the element at the position (15+1)/2 = 8 of the sorted set, which is 55.

The median percentage of hourly employees being laid off at these stores is 55.

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Answer:

A) Null hypothesis;H0: μ ≥ 7

Alternative Hypothesis;Ha: μ < 7

B) t ≈ -1.75

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D) Do not reject H0 since the p-value is greater than α

E) There is insufficient evidence to suggest that Americans sleep less than the recommended 7 hours of sleep.

Step-by-step explanation:

We are given;

Population mean;μ = 7

Sample mean; x' = 6.7

Sample Standard deviation; s = 2.1

Level of significance; α = 0.01

Sample size; n = 150

A) Now, the hypotheses can be stated as;

Null hypothesis;H0: μ ≥ 7

Alternative Hypothesis;Ha: μ < 7

B) The test statistic will be calculated from the formula;

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The p-value = 0.041088

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D) Since the p-value is greater than the significance level of 0.01, thus we will fail to reject the null hypothesis

E) From D above, we will conclude that there is insufficient evidence to suggest that Americans sleep less than the recommended 7 hours of sleep.

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