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Paul A. verified

Numerade educator

1. The grades of a class of 9 students on a midterm report and on the final examination are as follows: egin{tabular}{|c|c|c|c|c|c|c|c|c|c|} hline MR & 77 & 50 & 71 & 72 & 81 & 94 & 96 & 99 & 67 \ hline FE & 82 & 66 & 78 & 34 & 47 & 85 & 99 & 99 & 68 \ hline end{tabular}

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Paul A. verified

Numerade educator

Solve the following problem using the appropriate test of hypothesis. 1. Due to the increasing cases of malnutrition among toddlers in a certain barangay, a group of nutritionists introduced a feeding program to 10 randomly selected malnourished toddlers. The nutritionists measured the weight (in Kg) of the toddlers before and after the feeding program and summarized the data in a table below: 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 Before | 10 | 11.5 | 9 | 8.75 | 10 | 11 | 9.75 | 10.2 | 9.9 | 10 After | 14 | 13.5 | 13 | 11 | 14.5 | 12.5 | 12 | 13 | 14 | 13.6 At 95% confidence interval, test the claim of the nutritionists that the feeding program is beneficial to the malnourished toddlers.

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3. Figure Perfect Incorporated is a women's figure salon that specializes in weight reduction programs. Weights for a sample of 6 clients before and after a 1-month introductory program are shown in the given table. Determine at a \( 0.05 \) level of significance whether the introductory program provided a statistically significant weight loss. (10 pts) \begin{tabular}{|l|l|l|l|l|l|l|} \hline Before & 140 & 160 & 210 & 148 & 190 & 170 \\ \hline After & 132 & 158 & 195 & 152 & 180 & 164 \\ \hline \end{tabular} Step 1: State the null and alternative hypothesis in words. Step 3: Compute test statistic

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A firm is studying the delivery times of two raw material suppliers. The firm is basically satisfied with supplier A and is prepared to stay with that supplier. However, if the firm finds that the mean delivery time of supplier B is less than that of supplier A, it will begin making raw material purchases from supplier B. Assume that 50 independent samples from each supplier show the delivery time of supplier A to be 14 days with a standard deviation of 3 days, while the delivery time of B is shown to be 12.5 days with a standard deviation of 2 days. Testing at a 0.05 level of significance, should the firm switch to supplier B or not? State the null and alternative hypothesis in words.

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1. The Bureau of Transportation tracks the flight arrival performances of the 10 biggest airlines in the United States. Flights that arrive within 15 minutes of schedule are considered on time. Using sample data consistent with Bureau of Transportation statistics, in January 2001, a sample of 924 flights showed 742 on time and in January 2002, a sample of 841 flights showed 714 on time. Test the hypothesis at a 0.05 level of significance to determine whether the major airlines improved on-time flight performance during the one-year period. State the null and alternative hypothesis in words.

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Jon Southam verified

Numerade educator

3. Determine the x-intercept, y-intercept, equations of vertical and horizontal asymptotes of the inverse of the rational function, f(x) = (x + 5) / (x - 3).

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Jon Southam verified

Numerade educator

2. Based on the past studies, the average weight of a certain powdered juice was ( 500 mathrm{~g} ). However, customers of the said powdered juice claims that the average weight is no longer the advertised weight. A random sample of 25 packs of powdered juice were selected and it was found that the average weight is ( 488 mathrm{~g} ) with a standard deviation of ( 6 mathrm{~g} ). At ( alpha=0.05 ), is there enough evidence to conclude that the average weight is no longer the advertised weight?

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Ameer Said verified

Numerade educator

In the data released by a group of pediatricians in a specific city last month, there is an average if 420 toddlers with a standard deviation of 50 toddlers suffering from obesity. Addressing this problem, the said group of pediatricians provided an intervention this month. As a researcher, you want to know whether the average number of toddlers suffering from obesity remains the same despite the intervention the pediatricians have provided.

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Ameer Said verified

Numerade educator

According to data collected from the year 2021 sales, the mean number of monthly sales is 3750 with a standard deviation of 675. As a researcher, you want to know if the new marketing strategy introduced has increased the sales for the first quarter of 2022.

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Katy Gimbel verified

Numerade educator

the waist of the 2,500 policemen in a certain regional office is normally distributed with a mean of 35 inches and a standard deviation of 2.5 inches. : If the policemen whose waist girths belong to the widest 15% will be forced to attend 20 sessions of physical fitness, what is the minimum waist girth of those who will be forced to attend physical sessions?

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